Problem: Suppose that the weight of 10-year old girls in the U.S. population is normally distributed with a mean of 73 pounds. Data were collected for a study concerning weights of girls in Town X. A sample of 37 10-year old girls in Town X was found to have a mean weight of 75.9 pounds and a standard deviation of 7.7 pounds. Using a 5% significance level, a researcher wants to determine if 10-year old girls in Town X have weights that differ significantly from the population of 10-year old girls in the general U.S. population. The following tables are provided. Please answer questions that follow.

What is H0 (the null hypothesis) that the researcher should use? Please write your answer using symbols involving equality or inequality.

Problem: Suppose that the weight of 10-year old girls in the U.S. population is normally distributed with a mean of 73 pounds. Data were collected for a study concerning weights of girls in Town X. A sample of 37 10-year old girls in Town X was found to have a mean weight of 75.9 pounds and a standard deviation of 7.7 pounds. Using a 5% significance level, a researcher wants to determine if 10-year old girls in Town X have weights that differ significantly from the population of 10-year old girls in the general U.S. population. The following tables are provided. Please answer questions that follow.

What is HA (the alternate hypothesis) that the researcher should use? Please write your answer using symbols involving equality or inequality.

Problem: Suppose that the weight of 10-year old girls in the U.S. population is normally distributed with a mean of 73 pounds. Data were collected for a study concerning weights of girls in Town X. A sample of 37 10-year old girls in Town X was found to have a mean weight of 75.9 pounds and a standard deviation of 7.7 pounds. Using a 5% significance level, a researcher wants to determine if 10-year old girls in Town X have weights that differ significantly from the population of 10-year old girls in the general U.S. population. The following tables are provided. Please answer questions that follow.

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

What is the df for the test?

Problem: Suppose that the weight of 10-year old girls in the U.S. population is normally distributed with a mean of 73 pounds. Data were collected for a study concerning weights of girls in Town X. A sample of 37 10-year old girls in Town X was found to have a mean weight of 75.9 pounds and a standard deviation of 7.7 pounds. Using a 5% significance level, a researcher wants to determine if 10-year old girls in Town X have weights that differ significantly from the population of 10-year old girls in the general U.S. population. The following tables are provided. Please answer questions that follow.

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

If the t-statistic is 2.257, and using the chart above, do we reject the null hypothesis (H0)?

Problem: Suppose that the weight of 10-year old girls in the U.S. population is normally distributed with a mean of 73 pounds. Data were collected for a study concerning weights of girls in Town X. A sample of 37 10-year old girls in Town X was found to have a mean weight of 75.9 pounds and a standard deviation of 7.7 pounds. Using a 5% significance level, a researcher wants to determine if 10-year old girls in Town X have weights that differ significantly from the population of 10-year old girls in the general U.S. population. The following tables are provided. Please answer questions that follow.

Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Would your answer change if a 1% significance level was used instead of 5%?

Assume the t-statistic is 2.257

Problem: Data were collected from college students residing in a dorm at a local college regarding their satisfaction with security in the dorm. Responses were given on a 10 point scale, with 1=not at all satisfied and 10=completely satisfied. The data were collected a second time from the same students one month later. An analysis was then conducted to see if there was a change in satisfaction over time. Assume that the distribution of the sample’s measurements is normal, and that sample size is adequate. The following tables are provided. Please answer the questions that follow.

14. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

What is the α level used in the analysis? ____

Please express your answer as a decimal with two decimal places.

15. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

How many people were included in this analysis? ____

16. Is there a significant difference between the initial satisfaction score and the score after 1 month?

1. Yes
2. No

17. Please explain your answer to question 16.

18. Using your result from question 16, what could be the lower value of the 99% confidence interval of the difference for the paired sample t-test?

1. .5762
2. .1372
3. -.04691
4. -2.58

19. Please explain your answer to question 18.

Part 4:

An independent samples t-test was run to compare the mean hemoglobin A1c (HbA1c) values of adult women with diabetes who exercised for at least 150 minutes a week (considered to be physically active) as compared with those who did not. The following tables are provided. Assume that the distribution of the sample’s measurements is normal, and that sample size is adequate. Please answer questions that follow.

20. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Report the mean HbA1c for physically active adult women with diabetes ___

21. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

What is the α level used in the analysis? ____

Please express your answer as a decimal with two decimal places.

22. Accepted characters: numbers, decimal point markers (period or comma), sign indicators (-), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

How many people were included in this analysis? ___

23. Can we assume equal variances?

1. Yes
2. No

24. Please explain your answer to question 23.

25. Is there a significant difference in HbA1c for physically active and physically inactive adult women with diabetes?

1. Yes
2. No

26. Please explain your answer to question 25.

27. Using your result from question 25, what could be the significance level (p-value) for the independent samples t-test?

1. 0 (exactly)
2. -0.432
3. 0.438
4. 0.004

28. Please explain your answer to question 27.

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