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Consider the following hypothesis test. H 0 : 12 H a : > 12 A sample of 25 provided a sample mean x = 14

Consider the following hypothesis test.

H0: 12

Ha: > 12

A sample of 25 provided a sample mean

x = 14

and a sample standard deviation

s = 4.42.

(a)Compute the value of the test statistic. (Round your answer to three decimal places.)...?

(b)Use the t distribution table to compute a range for the p-value.

p-value > 0.200

0.100 < p-value < 0.200

0.050 < p-value < 0.100

0.025 < p-value < 0.050

0.010 < p-value < 0.025

p-value < 0.010

(c)At

= 0.05,

what is your conclusion?

Reject H0. There is insufficient evidence to conclude that > 12.

Do not reject H0. There is sufficient evidence to conclude that > 12.

Reject H0. There is sufficient evidence to conclude that > 12.

Do not reject H0. There is insufficient evidence to conclude that > 12.

(d)What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.)

test statistic .....?

test statistic ....?

What is your conclusion?

Reject H0. There is insufficient evidence to conclude that > 12.

Do not reject H0. There is sufficient evidence to conclude that > 12.

Reject H0. There is sufficient evidence to conclude that > 12.

Do not reject H0. There is insufficient evidence to conclude that > 12.

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