Consider the following hypothesis

test.

H₀: μ ≤ 12

H_a: μ > 12

A sample of 25 provided a sample mean x = 14

 and a sample standard deviation s = 4.26.

(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 α = 0.05,

(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≥

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