Question

A survey was conducted that asked 1018 people how many books they had read in the past year. Results indicated that x over bar equals 13.5 books and equals 16.6 books. Construct a 95​% confidence interval for the mean number of books people read. Interpret the interval.

Answer 1

we have given n =number of people included in survey=  1018

sample mean = 13.5

standard deviation (s) = 16.6

since t at 95% wth 1017 df = 1.96

95​% confidence interval =

95​% confidence interval =  

95​% confidence interval = = 12.48 ,14.52

we are 95% confident that the mean number of books all people read lies in between 12.48,14.52