How much time do you spend exercising per week? (hours) 24 24 20 14 12 12 12 10 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 0.5 0 0 0 0 0 0 0 0 0 0 0 0 0

Part II: One-Population, Average Question (80 total pts)

1. Question:
2. (1pt) What is the question you asked the student?

How much time do you spend exercising per week? (hours)

1. (2pt) Why are you interested in this question? For example, is it a related to a particular hobby, job, or general interest of yours, and how? (There is no right or wrong answer)

1. Confidence Interval:

a) (4pt) What are the values of the following statistics / parameters (if you know them)? How did you calculate each value (explain with formulas or specific calculator commands used)?

• p^, X-bar, p, , n, s, and/or . (Note: some of these will not be applicable to your question)

b) (1pt) What is the value of the point estimate of your population parameter?

1. (6pt) Describe your sample statistic in words. What is the distribution of the sample statistic? Explain why it has this distribution.

1. (4pt) For c = 0.9, 0.95, & 0.99, calculate the error bound. Show all work, using the error bound formula.

1. (4pt) Use the error bounds to construct a 90%, 95%, and 99% confidence interval for the population parameter.

1. (4pt) What calculator command did you use to check your work for the confidence interval? Explain why.

1. (2pt) Interpret the meaning of each confidence interval in the context of the problem.

1. (2pt) If you are interested in decreasing the error bound while keeping the confidence level constant, what will happen to the sample size? Explain.

1. (2pt) If you are interested in increasing the confidence level while keeping the sample size constant, what will happen to the error bound? Explain.

1. (2pt) If you are interested in increasing the sample size while keeping the error bound constant, what will happen to the confidence level? Explain.

1. (7pt) How many additional students must you sample for the error bound to be half its size? work on this for c = 0.95. Keep t-score or z-score the same as part d. Show all steps.