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 = 4.57.
(a)
Compute the value of the test statistic. (Round your answer tothree decimal places.)
(b)
Use the t distribution table to compute a range for thep-value.
p-value > 0.2000.100 < p-value <0.200Â Â Â Â 0.050 < p-value <0.1000.025 < p-value < 0.0500.010 <p-value < 0.025p-value < 0.010
(c)
At
α = 0.05,
what is your conclusion?
Do not reject H0. There is sufficientevidence to conclude that μ > 12.Do not rejectH0. There is insufficient evidence to concludethat μ > 12.    RejectH0. There is insufficient evidence to concludethat μ > 12.Reject H0. There is sufficientevidence to conclude that μ > 12.
(d)
What is the rejection rule using the critical value? (If thetest is one-tailed, enter NONE for the unused tail. Round youranswer to three decimal places.)
test statistic≤test statistic≥
What is your conclusion?
Do not reject H0. There is sufficientevidence to conclude that μ > 12.Do not rejectH0. There is insufficient evidence to concludethat μ > 12.    RejectH0. There is insufficient evidence to concludethat μ > 12.Reject H0. There is sufficientevidence to conclude that μ > 12.
