Consider the following hypothesis test.
H0: μ ≤ 25
Ha: μ > 25
A sample of 40 provided a sample mean of 26.2. The population standard deviation is 6.
(a) Find the value of the test statistic. (Round your answer to two decimal places.)
(b) Find the p-value. (Round your answer to four decimal places.)
p-value = ?
(c) At α = 0.01, state your conclusion.
a) Reject H0. There is sufficient evidence to conclude that μ > 25.
b) Reject H0. There is insufficient evidence to conclude that μ > 25.
c) Do not reject H0. There is sufficient evidence to conclude that μ ≤ 25.
d) Do not reject H0. There is insufficient evidence to conclude that μ ≤ 25.
(d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic ≤ ( ? )
test statistic ≥ ( ? )
State your conclusion.
a) Reject H0. There is sufficient evidence to conclude that μ > 25.
b) Reject H0. There is insufficient evidence to conclude that μ > 25.
c) Do not reject H0. There is sufficient evidence to conclude that μ ≤ 25.
d) Do not reject H0. There is insufficient evidence to conclude that μ ≤ 25.