Question

A poll was conducted that asked 1015 people how many books they had read in the past year. Results indicated that x̄=14.6 books and s=16.6 books. Construct a 95% confidence interval for the mean number of books people read.

Construct a 95% confidence interval for the mean number of books people read.

( ) , ( ) (Use ascending order. Round to two decimal places as needed).

Answer 1

t critical value at 0.05 level with 1014 df = 1.962

95% confidence interval for is

- t * S / sqrt(n) < < + t * S / sqrt(n)

14.6 - 1.962 * 16.6 / sqrt(1015) < < 14.6 + 1.962 * 16.6 / sqrt(1015)

13.58 < < 15.62

95% CI is ( 13.58 , 15.62 )