• When there are calculations, show formulas and ALL OF your work and CIRCLE or HIGHLIGHT your final answer.
• Be sure to show hypotheses in the proper format to denote proportion or means (e.g.,

H₀: =10)

• If noted, round based on the instructions in each question

Although some rather old statistics on the county estimated adult exercise per capita at 100 minutes per week, the Commissioner wants to prove that m (the average number of minutes per week that adults exercise in Sunny County) is more than 100 minutes in 2020. You conduct a simple random survey of 16 adults in Sunny County and ask how many minutes per week they spend engaged in exercise. The resulting sample mean is 116 minutes and the standard deviation is 32 (s=32).

Fulfill the County Commissioner's request by completing the steps below.

1. a) Write the null and alternative hypotheses.

1. b) Calculate the appropriate test-statistic statistic.

1. c) What is the p-value? Note: Include the k degrees of freedom only if appropriate.

1. d) Using alpha=.05, should you reject or fail to reject the null hypothesis? Why?

1. e) State your conclusion directly to the County Commissioner.

1. f) Now, construct a 95% confidence interval for the mean number of adult exercise minutes per week in Sunny County.
2. g) Interpret your results.

Not using excel to find p-value or anything