Question: Suppose we need to determine the average time it takes for an Olympic female freestyle swimmer to complete 100m.We obtain the data from 40 Olympic

Suppose we need to determine the average time it takes for an Olympic female freestyle swimmer to complete 100m.We obtain the data from 40 Olympic participants in 2016, and the average time taken for them is 59 seconds with a standard deviation of 3.25 seconds.

a)(2 pts) What is the observational unit in the context?

b)(2 pts) What is the sample and the size of the sample?

c)(2 pts) Write down the observed statistic and assign the appropriate symbol to it.

d)(4 pts) Construct a 95% confidence interval for the true long run average time taken for an Olympic female freestyle swimmer to complete 100m. (Show all your work for full credit)

e)(2 pts) Interpret the above obtained confidence interval.

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