Question

You may need to use the appropriate appendix table or technology to answer this question.

Consider the following hypothesis test.

H0: μ ≤ 50

Ha: μ > 50

A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use

α = 0.05.

(Round your answers to two decimal places.)

(a)

x = 52.4

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.Do not reject H₀. There is insufficient evidence to conclude that μ > 50.    Reject H₀. There is sufficient evidence to conclude that μ > 50.Do not reject H₀. There is sufficient evidence to conclude that μ > 50.

(b)

x = 51

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.Do not reject H₀. There is insufficient evidence to conclude that μ > 50.    Reject H₀. There is sufficient evidence to conclude that μ > 50.Do not reject H₀. There is sufficient evidence to conclude that μ > 50.

(c)

x = 51.8

Find the value of the test statistic.

State the critical values for the rejection rule. (If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤test statistic≥

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that μ > 50.Do not reject H₀. There is insufficient evidence to conclude that μ > 50.    Reject H₀. There is sufficient evidence to conclude that μ > 50.Do not reject H₀. There is sufficient evidence to conclude that μ > 50.

Answer 1