Question

According to a research study, American teenagers watched 14.1

hours of television per week last year, on average. A random sample of 11

American teenagers was surveyed and the mean amount of time per week each teenager watched television was 13.3

. This data has a sample standard deviation of 1.5

. (Assume that the scores are normally distributed.)

Researchers conduct a one-mean hypothesis testat the 1%

significance level, to test if the mean amount of time American teenagers watch television per week is different than the mean amount of time last year?

(a)H

0

:=14.1

; H

a

:14.1

, which is a two-tailed test.

(b)Determine the test statistic, rounded to two decimal places.