Question

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 = 4.65.

(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.

a. p-value > 0.200

b. 0.100 < p-value < 0.200    

c. 0.050 < p-value < 0.100

d. 0.025 < p-value < 0.050

e. 0.010 < p-value < 0.025

f. p-value < 0.010

(c) At α = 0.05, what is your conclusion?

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

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

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

d. Reject H₀. There is insufficient evidence to conclude that μ > 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?

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

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

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

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

Answer 1