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

Consider the following hypothesis test.

H₀: 50

H_a: > 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

= 0.05.

(Round your answers to two decimal places.)

(a)

x = 52.1

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 sufficient evidence to conclude that > 50.

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

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

Reject H₀. There is insufficient evidence to conclude that > 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 sufficient evidence to conclude that > 50.

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

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

Reject H₀. There is insufficient evidence to conclude that > 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 sufficient evidence to conclude that > 50.

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

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

Reject H₀. There is insufficient evidence to conclude that > 50