A 2009 study indicated that largepopulation of Canadian doctors reported, on average, a totalof _O= 281 minutes per week of exercise with astandard deviation of= 14.53 minutes per week.

Today, you take arandom sample of n=20 doctors in Canada, and ask them to report theirminutes of exercise per week, and find asample mean ofx =287.25 minutes per week. THIS IS A Z CONFIDENCE INTERVAL PROBLEM.

a) Perform a hypothesis test to determine if there is evidence that the average weekly minutes of exercise for Canadian doctors has changed from 281 minutes. Use a level of significance of 10%. Fill in and choose answers in brackets. HINT: TWO SIDED

b)Perform a hypothesis test to determine if there is evidence thattheaverage weekly minutes of exercise for Canadian doctorsexceeds 279 minutes. Use a level of significance of 5%. Fill in and choose answers in brackets.HINT: RIGHT SIDED x =287.25 and n= 20 and= 14.53

c)Perform a hypothesis test to determine if there is evidence that theaverage weekly minutesof exercise for Canadian doctors liesbelow 295 minutes. Use alevel of significance of 5%. Fill in and choose answers in brackets.HINT: LEFT SIDED Remember from above:x =287.25 and n= 20 and= 14.53 Here295 = o is our null boundary hypothesis value.