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 = 4.32.
(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
d) p-value < 0.010
(C)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficient evidence to conclude that μ > 12.
Reject H0. There is sufficient evidence to conclude that μ > 12.
Do not reject H0. There is insufficient evidence to conclude that μ > 12.
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?
Do not reject H0. There is sufficient evidence to conclude that μ > 12.
Reject H0. There is sufficient evidence to conclude that μ > 12.
Do not reject H0. There is insufficient evidence to conclude that μ > 12.
Reject H0. There is insufficient 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 = 4.32. (a) Compute the value of the test statistic. (Ro...
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