We randomly select 16 Canadians and ask how man hours they spend watching Big Ba

Question

We randomly select 16 Canadians and ask how man hours they spend watching Big Bang Theory return last week, we get a sample mean of 18 with a sample standard deviation of 5. Assume that the amounts are normally distributed.

a) Construct a 95% confidence level for the mean number of hours of Big Bang Theory watched last week by all Canadians.

b) Test the hypothesis that the mean for all canadain is 17 hours againts the alternative hypothesis that it is diffrent from 17 hours at a 0.05 level of significant

Explanation / Answer

here std error of mean =std deviaiton/(n)1/2 =1.25

for 95% cI, and 15 degree of freedom t =2.1314

hence 95% Confidence interval =sqample mean -/+ t*std error =15.3357 ; 20.6643

b)here as 117 hours is in our confidence interval we can not reject null hypothesis

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