Question 4Suppose 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? ALREADY ANSWEREDb) (2 pts) What is the sample and the size of the sample? ALREADY ANSWEREDc) (2 pts) Write down the observed statistic and assign the appropriate symbol to it. ALREADY ANSWEREDd) (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)ALREADY ANSWEREDe) (2 pts) Interpret the above obtained confidence interval. ALREADY ANSWERED***** I NEED HELP ON THIS PART: One of our colleagues think that an Olympic female freestyle swimmer competing in the 100m event is faster than 60 seconds. Considering her claim,f) (2 pts) In words, state the correct null and alternative hypothesis to test the claimg) (2 pts) In symbols, state the correct null and alternative hypothesis to test the claimh) (2 pts) Based on the confidence interval that you calculated in part e), would you reject or fail to reject the null hypothesis? Why or why not?i) (2 pts) What is your conclusion based on part h?

Question 4 A- seconds - an observation unit, is the entity on which information is recieved and statistics are compiled in the process of collecting statistical data B . Solution sample - participants in zolle olympic 100 m female swimmers size n = 40 (. Sample mean = X = 59 seconds standard deviation = 5= 3.25 seconds Sample size = n = 40 D. Since population standards deviation is unknown we will use +- test de = 40- 1 =39 M = X+to/2 = S/in , to_ 0 25 = 2. 023 = 59 + 2.023 x 3.25 = 59 + 1 - 04 = 157. 94,, 40. 84) E. The true long run average time taken for an Olympic female freestyle swimmer to complete room is 57. The seconds and 40. of seconds