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)Which answer choice shows the correct null and alternative hypotheses for this test?

Select the correct answer below:

H

0

:=13.3

; H

a

:13.3

, which is a two-tailed test.

H

0

:=14.1

; H

a

:14.1

, which is a two-tailed test.

H

0

:=14.1

; H

a

:>14.1

, which is a right-tailed test.

H

0

:=14.1

; H

a

:<14.1

, which is a left-tailed test.