A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to perform the required hypothesis test about the mean,

,

of the population from which the sample was drawn. Use the critical-value approach.

x=3.25

,

s=0.53,

n=9,

H0:=2.85,

Ha:>2.85,

=0.01

A.

Test statistic:

t=2.26.

Critical value:

t=2.33.

Do not reject

H0.

There is not sufficient evidence to support the claim that the mean is greater than 2.85.

B.

Test statistic:

t=2.26.

Critical value:

t=2.821.

Do not reject

H0.

There is not sufficient evidence to support the claim that the mean is greater than 2.85.

C.

Test statistic:

t=2.26.

Critical value:

t=2.896.

Do not reject

H0.

There is not sufficient evidence to support the claim that the mean is greater than 2.85.

D.

Test statistic:

t=2.26.

Critical value:

t=2.896.

Reject

H0.

There is sufficient evidence to support the claim that the mean is greater than 2.85.