consider the following hypothesis test h0 12 ha 12 a sample of 25 provided a sample mean x 14 an

Question

Consider the following hypothesis test. H0: μ ≤ 12 Ha: μ > 12 A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.68. (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, what is your conclusion? Reject H0. There is insufficient evidence to conclude that μ > 12. Do not reject H0. There is insufficient evidence to conclude that μ > 12. Do not reject H0. There is sufficient evidence to conclude that μ > 12. Reject H0. There is sufficient 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? Reject H0. There is insufficient evidence to conclude that μ > 12. Do not reject H0. There is insufficient evidence to conclude that μ > 12. Do not reject H0. There is sufficient evidence to conclude that μ > 12. Reject H0. There is sufficient evidence to conclude that μ > 12.

          Consider the following hypothesis test.
H0: μ ≤ 12
Ha: μ > 12
A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.68.
(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, what is your conclusion?
Reject H0. There is insufficient evidence to conclude that μ > 12.
Do not reject H0. There is insufficient evidence to conclude that μ > 12.
Do not reject H0. There is sufficient evidence to conclude that μ > 12.
Reject H0. There is sufficient 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?
Reject H0. There is insufficient evidence to conclude that μ > 12.
Do not reject H0. There is insufficient evidence to conclude that μ > 12.
Do not reject H0. There is sufficient evidence to conclude that μ > 12.
Reject H0. There is sufficient evidence to conclude that μ > 12.

Added by Charles P.

Question

Please give Ace some feedback