# Math

## Tutorials

### STAT 167 Week 4 Individual Assignment Distribution, Hypothesis Testing, and Error Worksheet - $15.00

**STAT 167 Week 4 Individual Assignment Distribution, Hypothesis Testing, and Error Worksheet**

Individual Assignment Distribution, Hypothesis Testing, and Error Worksheet

1. Describe a normal distribution in no more than 100 words (0.5 point).

2. Construct a normal quantile plot in Statdisk, show the regression line, and paste the image into your response. Based on the normal quantile plot, does the data above appear to come from a population of Bigcone Douglas-fir tree ages that has a normal distribution? Explain (0.5 point).

3. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above. If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be 111 years old or less? Round to the nearest hundredth (0.5 point).

4. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above. If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be less than 0 years old? Round to the nearest hundredth. Based on this result, is it logical to assume that the population of age of surviving Bigcone Douglas-fir trees in the burn area is normally distributed with the parameters identified. Why or why not (0.5 point)?

5. Describe a standard normal distribution in no more than 100 words (0.5 point).

6. In a standard normal distribution, what is the probability of randomly selecting a value between -2.555 and -0.745? Round to four decimal places (0.5 point).

7. Describe a uniform distribution in no more than 100 words (0.5 point).

8. Describe the sampling distribution of the mean in no more than 100 words (1 point).

9. Explain the central limit theorem in no more than 150 words (1 point).

10. Describe the z distribution in no more than 100 words (0.5 point).

11. Explain when the z distribution can be used in no more than 150 words (0.5 point).

12. Describe the t distribution in no more than 100 words (0.5 point).

13. Explain when the t distribution can be used in no more than 150 words (0.5 point).

14. Describe the chi-square distribution in no more than 100 words (0.5 point).

15. Explain when the chi-square distribution can be used in no more than 150 words (0.5 point).

16. Determine the appropriate approach to conduct a hypothesis test for this claim: Fewer than 5% of patients experience negative treatment effects. Sample data: Of 500 randomly selected patients, 2.2% experience negative treatment effects (0.5 point).

17. Determine the appropriate approach to conduct a hypothesis test for this claim: The systolic blood pressure of men who run at least five miles each week varies less than does the systolic blood pressure of all men. Sample data: n = 100 randomly selected men who run at least five miles each week, sample mean = 108.4, and s = 20.3 (0.5 point).

18. Determine the appropriate approach to conduct a hypothesis test for this claim: The mean sodium content of a 30 g serving of snack crackers is 2,200 mg. Sample data: n = 130 snack crackers, sample mean = 3,100 mg, and s = 570. The sample data appear to come from a normally distributed population (0.5 point).

19. Describe a type I error in no more than 100 words (0.5 point).

20. List two strategies that can minimize the likelihood of a type I error (0.5 point).

21. Describe a type II error in no more than 100 words (0.5 point).

22. List two strategies that can minimize the likelihood of a type II error (0.5 point).

23. In a 250- to 350-word essay, compare type I and type II errors and explain the possible negative effects of each error type in the life sciences (2 points).

### STAT 167 Week 4 - $25.00

**STAT 167 Week 4**

Week 4

Individual Assignment Distribution, Hypothesis Testing, and Error Worksheet

1. Describe a normal distribution in no more than 100 words (0.5 point).

2. Construct a normal quantile plot in Statdisk, show the regression line, and paste the image into your response. Based on the normal quantile plot, does the data above appear to come from a population of Bigcone Douglas-fir tree ages that has a normal distribution? Explain (0.5 point).

3. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above. If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be 111 years old or less? Round to the nearest hundredth (0.5 point).

4. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above. If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be less than 0 years old? Round to the nearest hundredth. Based on this result, is it logical to assume that the population of age of surviving Bigcone Douglas-fir trees in the burn area is normally distributed with the parameters identified. Why or why not (0.5 point)?

5. Describe a standard normal distribution in no more than 100 words (0.5 point).

6. In a standard normal distribution, what is the probability of randomly selecting a value between -2.555 and -0.745? Round to four decimal places (0.5 point).

7. Describe a uniform distribution in no more than 100 words (0.5 point).

8. Describe the sampling distribution of the mean in no more than 100 words (1 point).

9. Explain the central limit theorem in no more than 150 words (1 point).

10. Describe the z distribution in no more than 100 words (0.5 point).

11. Explain when the z distribution can be used in no more than 150 words (0.5 point).

12. Describe the t distribution in no more than 100 words (0.5 point).

13. Explain when the t distribution can be used in no more than 150 words (0.5 point).

14. Describe the chi-square distribution in no more than 100 words (0.5 point).

15. Explain when the chi-square distribution can be used in no more than 150 words (0.5 point).

16. Determine the appropriate approach to conduct a hypothesis test for this claim: Fewer than 5% of patients experience negative treatment effects. Sample data: Of 500 randomly selected patients, 2.2% experience negative treatment effects (0.5 point).

17. Determine the appropriate approach to conduct a hypothesis test for this claim: The systolic blood pressure of men who run at least five miles each week varies less than does the systolic blood pressure of all men. Sample data: n = 100 randomly selected men who run at least five miles each week, sample mean = 108.4, and s = 20.3 (0.5 point).

18. Determine the appropriate approach to conduct a hypothesis test for this claim: The mean sodium content of a 30 g serving of snack crackers is 2,200 mg. Sample data: n = 130 snack crackers, sample mean = 3,100 mg, and s = 570. The sample data appear to come from a normally distributed population (0.5 point).

19. Describe a type I error in no more than 100 words (0.5 point).

20. List two strategies that can minimize the likelihood of a type I error (0.5 point).

21. Describe a type II error in no more than 100 words (0.5 point).

22. List two strategies that can minimize the likelihood of a type II error (0.5 point).

23. In a 250- to 350-word essay, compare type I and type II errors and explain the possible negative effects of each error type in the life sciences (2 points).

Team Assignment Confidence Intervals in the Life Sciences Presentation

Discussion Questions

Explain, as if to a high school student, what it means to make a type I error. Then, in the same way, explain what it means to make a type II error. Can you find a real-world example where a type I or type II error would most likely skew the interpretations of a study? Is there a way for scientists to correct for these errors? Why or why not? Next, reply to a classmate’s response and ask a question about the response that you think a high school student would ask.

Explain the circumstances under which a z distribution should be constructed. Under what circumstances should a t distribution be constructed? When can neither a z nor a t distribution be constructed? Provide an example from a particular life science for each of these instances. Next, reply to the response of a classmate with examples from a different life science that you provided and comment on the similarities and differences in the data from different life sciences.

### STAT 167 Week 3 Learning Team Assignment Life Sciences Article Analysis - $7.50

STAT 167 Week 3 Learning Team Assignment Life Sciences Article Analysis

### STAT 167 Week 3 DQs - $7.50

**STAT 167 Week 3 DQs**

What is a distribution of sample means? Explain, as if to a high school student, the idea of a distribution of sample means. Include an explanation of why the mean of a distribution of sample means would equal the population mean and of the central limit theorem. Provide an example that would help a high school student understand. Next, reply to a classmate’s response and ask a question about the response that you think a high school student would ask.

Refer to Table 1 in the article “Snail Shells in a Practical Application of Statistical Procedures” in the Electronic Reserve Readings. Find the margin of error, E, with a confidence interval of your choosing (50-99%). What is the significance of choosing a confidence interval? What is the difference between selecting a 50% confidence interval versus a 95% confidence interval? What happens to E if the sample size is increased tenfold? Reply to a classmate and include in your response a comparison between the confidence interval you chose and the confidence interval chosen by your classmate. What are the advantages and disadvantages of each?

### STAT 167 Week 3 DQs - $7.50

**STAT 167 Week 3 DQs**

What is a distribution of sample means? Explain, as if to a high school student, the idea of a distribution of sample means. Include an explanation of why the mean of a distribution of sample means would equal the population mean and of the central limit theorem. Provide an example that would help a high school student understand. Next, reply to a classmate’s response and ask a question about the response that you think a high school student would ask.

Refer to Table 1 in the article “Snail Shells in a Practical Application of Statistical Procedures” in the Electronic Reserve Readings. Find the margin of error, E, with a confidence interval of your choosing (50-99%). What is the significance of choosing a confidence interval? What is the difference between selecting a 50% confidence interval versus a 95% confidence interval? What happens to E if the sample size is increased tenfold? Reply to a classmate and include in your response a comparison between the confidence interval you chose and the confidence interval chosen by your classmate. What are the advantages and disadvantages of each?

### STAT 167 Week 3 - $15.00

**STAT 167 Week 3**

Week 3

Learning Team Life Science Article Analysis

Discussion Questions

What is a distribution of sample means? Explain, as if to a high school student, the idea of a distribution of sample means. Include an explanation of why the mean of a distribution of sample means would equal the population mean and of the central limit theorem. Provide an example that would help a high school student understand. Next, reply to a classmate’s response and ask a question about the response that you think a high school student would ask.

Refer to Table 1 in the article “Snail Shells in a Practical Application of Statistical Procedures” in the Electronic Reserve Readings. Find the margin of error, E, with a confidence interval of your choosing (50-99%). What is the significance of choosing a confidence interval? What is the difference between selecting a 50% confidence interval versus a 95% confidence interval? What happens to E if the sample size is increased tenfold? Reply to a classmate and include in your response a comparison between the confidence interval you chose and the confidence interval chosen by your classmate. What are the advantages and disadvantages of each?

### STAT 167 Week 2 Individual Assignment Organizing, Summarizing, Probability, and Distribution Workshe - $15.00

**STAT 167 Week 2 Individual Assignment Organizing, Summarizing, Probability, and Distribution Worksheet**

Data—Organizing, Summarizing, Probability, and Distribution Worksheet

1. Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

2. Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

3. Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

4. Using Statdisk, create a histogram showing the information in the frequency distribution of Table 2-2 in Ch. 2 of the text.

5. Calculate the mean of the students’ exercise capacity and explain the concept of mean (0.5 point).

6. Calculate the median of the students’ exercise capacity and explain the concept of median (0.5 point).

7. Calculate the mode of the students’ exercise capacity and explain the concept of mode (0.5 point).

8. Calculate the standard deviation of the students’ exercise capacity (0.5 point).

9. Calculate the variance of the students’ exercise capacity (0.5 point).

10. If premedical student Alisha has the exercise capacity of 41 minutes, convert her score to a z score among the distribution of exercise capacity above. Explain what this z score means (1 point).

11. Alisha’s grandmother has an exercise capacity of 21 minutes, as measured in a similar study among Americans over seventy years old. The study sample has a mean of 16.8 minutes and a standard deviation of 3.9 minutes. Convert Alisha’s grandmother’s score to a z score among the distribution of exercise capacity in Americans over seventy years old. Who has a relatively longer exercise capacity compared to her peers—Alisha or her grandmother (1 point)?

12. A friend suggests to you that each of the four teams in the semifinals has an equal chance of winning the championship. Express this likelihood for each team of winning the championship as a probability value. Explain the concept of probability (1 point).

13. In a study of 420,095 cell phone users in Denmark, it was found that 135 developed cancer of the brain or nervous system. Estimate the probability that a randomly selected cell phone user will develop such a cancer. Is the result very different from the probability of 0.000340 that was found for the general population? What does the result suggest about cell phones as a cause of such cancers, as has been claimed (1 point)?

14. If you randomly select one butterfly from the table above, what is the probability of selecting a red butterfly or one collected in spring? Explain the addition rule (1 point).

15. If you randomly select one butterfly collected in spring, one butterfly collected in summer, and one butterfly collected in autumn, what is the probability of selecting all yellow butterflies? Explain the multiplication rule (1 point).

16. In a survey of 1,012 people, researchers record whether there is a “should not” response to this question: “Do you think the cloning of humans should or should not be allowed?” Does this procedure result in a binomial distribution? Explain why or why not (1 point).

17. In a study, 728 artificial hips are examined to determine whether they are acceptable, show excessive wear, or have manufacturing defects. Does this procedure result in a binomial distribution? Explain why or why not (1 point).

18. Choose the procedure that will allow dental patients to be researched using a binomial distribution (0.5 point):

19. Select the procedure that results in a Poisson distribution and explain (1 point).

20. Choose the procedure that will allow fire ants to be researched using a Poisson distribution (0.5 point).

### STAT 167 Week 2 DQs - $7.50

**STAT 167 Week 2 DQs**

Discussion Questions

Read the article “What are Relative Risk, Number Needed to Treat and Odds Ratio?” in the Electronic Reserve Readings. Use your text book for reference. Summarize the measures of relative risk, number needed to treat, and odds ratios. In your opinion, which of these measures is most informative? Explain

The probability of ovarian cancer or prostate cancer—P(oc or pc)—is equal to P(oc) plus P(pc). Why does this not match the formal addition rule? Provide an example of probabilities that follow the formal addition rule. Read the response of a classmate and decide whether the classmate’s example probabilities follow the formal addition rule. Explain why or why not.

### STAT 167 Week 1 DQs - $7.50

**STAT 167 Week 1 DQs**

Week 1

Discussion Questions

When would converting raw data into z scores be useful? Provide an example from the life sciences and explain why the conversion would be beneficial. Read the response of a classmate and decide whether the conversion to z scores would be beneficial in the classmate’s example. Explain why or why not.

How would you define research? What is the purpose of business research? How may variance and standard deviation be applied to a real-world business-related problem? Provide a specific application in which these measures are useful. When would you use descriptive over inferential statistics? Provide a specific scenario and explain your rationale.

### STAT 167 Complete Course - $50.00

**STAT 167 Complete Course**

STAT 167 Statistics For The Life Sciences

Week 1

Discussion Questions

When would converting raw data into z scores be useful? Provide an example from the life sciences and explain why the conversion would be beneficial. Read the response of a classmate and decide whether the conversion to z scores would be beneficial in the classmate’s example. Explain why or why not.

How would you define research? What is the purpose of business research? How may variance and standard deviation be applied to a real-world business-related problem? Provide a specific application in which these measures are useful. When would you use descriptive over inferential statistics? Provide a specific scenario and explain your rationale.

Week 2

Individual Assignment

Data—Organizing, Summarizing, Probability, and Distribution Worksheet

1. Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

2. Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

3. Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

4. Using Statdisk, create a histogram showing the information in the frequency distribution of Table 2-2 in Ch. 2 of the text.

5. Calculate the mean of the students’ exercise capacity and explain the concept of mean (0.5 point).

6. Calculate the median of the students’ exercise capacity and explain the concept of median (0.5 point).

7. Calculate the mode of the students’ exercise capacity and explain the concept of mode (0.5 point).

8. Calculate the standard deviation of the students’ exercise capacity (0.5 point).

9. Calculate the variance of the students’ exercise capacity (0.5 point).

10. If premedical student Alisha has the exercise capacity of 41 minutes, convert her score to a z score among the distribution of exercise capacity above. Explain what this z score means (1 point).

11. Alisha’s grandmother has an exercise capacity of 21 minutes, as measured in a similar study among Americans over seventy years old. The study sample has a mean of 16.8 minutes and a standard deviation of 3.9 minutes. Convert Alisha’s grandmother’s score to a z score among the distribution of exercise capacity in Americans over seventy years old. Who has a relatively longer exercise capacity compared to her peers—Alisha or her grandmother (1 point)?

12. A friend suggests to you that each of the four teams in the semifinals has an equal chance of winning the championship. Express this likelihood for each team of winning the championship as a probability value. Explain the concept of probability (1 point).

13. In a study of 420,095 cell phone users in Denmark, it was found that 135 developed cancer of the brain or nervous system. Estimate the probability that a randomly selected cell phone user will develop such a cancer. Is the result very different from the probability of 0.000340 that was found for the general population? What does the result suggest about cell phones as a cause of such cancers, as has been claimed (1 point)?

14. If you randomly select one butterfly from the table above, what is the probability of selecting a red butterfly or one collected in spring? Explain the addition rule (1 point).

15. If you randomly select one butterfly collected in spring, one butterfly collected in summer, and one butterfly collected in autumn, what is the probability of selecting all yellow butterflies? Explain the multiplication rule (1 point).

16. In a survey of 1,012 people, researchers record whether there is a “should not” response to this question: “Do you think the cloning of humans should or should not be allowed?” Does this procedure result in a binomial distribution? Explain why or why not (1 point).

17. In a study, 728 artificial hips are examined to determine whether they are acceptable, show excessive wear, or have manufacturing defects. Does this procedure result in a binomial distribution? Explain why or why not (1 point).

18. Choose the procedure that will allow dental patients to be researched using a binomial distribution (0.5 point):

19. Select the procedure that results in a Poisson distribution and explain (1 point).

20. Choose the procedure that will allow fire ants to be researched using a Poisson distribution (0.5 point).

Discussion Questions

Read the article “What are Relative Risk, Number Needed to Treat and Odds Ratio?” in the Electronic Reserve Readings. Use your text book for reference. Summarize the measures of relative risk, number needed to treat, and odds ratios. In your opinion, which of these measures is most informative? Explain

The probability of ovarian cancer or prostate cancer—P(oc or pc)—is equal to P(oc) plus P(pc). Why does this not match the formal addition rule? Provide an example of probabilities that follow the formal addition rule. Read the response of a classmate and decide whether the classmate’s example probabilities follow the formal addition rule. Explain why or why not.

Week 3

Learning Team Life Science Article Analysis

Discussion Questions

What is a distribution of sample means? Explain, as if to a high school student, the idea of a distribution of sample means. Include an explanation of why the mean of a distribution of sample means would equal the population mean and of the central limit theorem. Provide an example that would help a high school student understand. Next, reply to a classmate’s response and ask a question about the response that you think a high school student would ask.

Refer to Table 1 in the article “Snail Shells in a Practical Application of Statistical Procedures” in the Electronic Reserve Readings. Find the margin of error, E, with a confidence interval of your choosing (50-99%). What is the significance of choosing a confidence interval? What is the difference between selecting a 50% confidence interval versus a 95% confidence interval? What happens to E if the sample size is increased tenfold? Reply to a classmate and include in your response a comparison between the confidence interval you chose and the confidence interval chosen by your classmate. What are the advantages and disadvantages of each?

Week 4

Individual Assignment Distribution, Hypothesis Testing, and Error Worksheet

1. Describe a normal distribution in no more than 100 words (0.5 point).

2. Construct a normal quantile plot in Statdisk, show the regression line, and paste the image into your response. Based on the normal quantile plot, does the data above appear to come from a population of Bigcone Douglas-fir tree ages that has a normal distribution? Explain (0.5 point).

3. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above. If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be 111 years old or less? Round to the nearest hundredth (0.5 point).

4. Calculate the sample mean and standard deviation for the age of Bigcone Douglas-fir trees based on the data above. If this accurately represents the population mean and standard deviation for the age of surviving Bigcone Douglas-fir trees in the burn area, what is the probability that a randomly selected surviving Bigcone Douglas-fir tree from the burn area will be less than 0 years old? Round to the nearest hundredth. Based on this result, is it logical to assume that the population of age of surviving Bigcone Douglas-fir trees in the burn area is normally distributed with the parameters identified. Why or why not (0.5 point)?

5. Describe a standard normal distribution in no more than 100 words (0.5 point).

6. In a standard normal distribution, what is the probability of randomly selecting a value between -2.555 and -0.745? Round to four decimal places (0.5 point).

7. Describe a uniform distribution in no more than 100 words (0.5 point).

8. Describe the sampling distribution of the mean in no more than 100 words (1 point).

9. Explain the central limit theorem in no more than 150 words (1 point).

10. Describe the z distribution in no more than 100 words (0.5 point).

11. Explain when the z distribution can be used in no more than 150 words (0.5 point).

12. Describe the t distribution in no more than 100 words (0.5 point).

13. Explain when the t distribution can be used in no more than 150 words (0.5 point).

14. Describe the chi-square distribution in no more than 100 words (0.5 point).

15. Explain when the chi-square distribution can be used in no more than 150 words (0.5 point).

16. Determine the appropriate approach to conduct a hypothesis test for this claim: Fewer than 5% of patients experience negative treatment effects. Sample data: Of 500 randomly selected patients, 2.2% experience negative treatment effects (0.5 point).

17. Determine the appropriate approach to conduct a hypothesis test for this claim: The systolic blood pressure of men who run at least five miles each week varies less than does the systolic blood pressure of all men. Sample data: n = 100 randomly selected men who run at least five miles each week, sample mean = 108.4, and s = 20.3 (0.5 point).

18. Determine the appropriate approach to conduct a hypothesis test for this claim: The mean sodium content of a 30 g serving of snack crackers is 2,200 mg. Sample data: n = 130 snack crackers, sample mean = 3,100 mg, and s = 570. The sample data appear to come from a normally distributed population (0.5 point).

19. Describe a type I error in no more than 100 words (0.5 point).

20. List two strategies that can minimize the likelihood of a type I error (0.5 point).

21. Describe a type II error in no more than 100 words (0.5 point).

22. List two strategies that can minimize the likelihood of a type II error (0.5 point).

23. In a 250- to 350-word essay, compare type I and type II errors and explain the possible negative effects of each error type in the life sciences (2 points).

Team Assignment Confidence Intervals in the Life Sciences Presentation

Discussion Questions

Explain, as if to a high school student, what it means to make a type I error. Then, in the same way, explain what it means to make a type II error. Can you find a real-world example where a type I or type II error would most likely skew the interpretations of a study? Is there a way for scientists to correct for these errors? Why or why not? Next, reply to a classmate’s response and ask a question about the response that you think a high school student would ask.

Explain the circumstances under which a z distribution should be constructed. Under what circumstances should a t distribution be constructed? When can neither a z nor a t distribution be constructed? Provide an example from a particular life science for each of these instances. Next, reply to the response of a classmate with examples from a different life science that you provided and comment on the similarities and differences in the data from different life sciences.

Week 5

Individual Assignment Hypothesis Testing and Correlation Worksheet

1. What is a hypothesis? What is a hypothesis test (0.5 point)?

2. What is a null hypothesis? What is an alternative hypothesis (0.5 point)?

3. What is a test statistic (0.5 point)?

4. What are significance levels (0.5 point)?

5. Complete this table contrasting the traditional, p-value, and confidence interval methods of testing a claim about a proportion (1 point).

6. What is the independent variable? What is the dependent variable? Why (0.5 point)?

7. What is the null hypothesis? What is the alternative hypothesis? Is this a one-tailed or a two-tailed test (0.5 point)?

8. What test statistic will you use? Why (0.5 point)?

9. What is the critical value? What is the value of the test statistic (0.5 point)?

10. Would you accept or reject the null hypothesis? Explain your conclusion in a 100- to 150-word summary (0.5 point).

11. What is the null hypothesis? What is the alternative hypothesis? Is this a one-tailed or a two-tailed test (0.5 point)?

12. What test statistic will you use? Why (0.5 point)?

13. What is the critical value? What is the value of the test statistic (0.5 point)?

14. Would you accept or reject the null hypothesis? Explain your conclusion in a 100- to 150-word summary (0.5 point).

15. What is the F distribution? Describe it in no more than 100 words (0.5 point).

16. How and when do researchers use the F distribution? Explain in no more than 150 words (0.5 point).

17. What does it mean if F = 1.0251? Explain in no more than 150 words (0.5 point).

18. Calculate r using Statdisk. Paste the Correlation and Regression report into your response. What is r (0.5 point)?

19. Interpret r and r2. Explain whether there is a significant correlation between women’s age and women’s weight at the 0.05 significance level, and explain how much of the variation in women’s weight is explained by its linear association with women’s age (0.5 point).

Individual Assignment Final Exam

Discussion Questions

How do researchers test claims about averages? Explain as if to a high school student how to test a claim about a mean. Next, reply to the response of a classmate and ask a question that might be asked by a high school student.

What is the difference between r and r2? Explain and provide example life science data sets, explaining when to use one or the other when interpreting data results.