You may need to use the appropriateappendix tableortechnologyto answer this question.

Consider the following hypothesis test.

H₀:50H_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=52.9

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.

RejectH₀. There is insufficient evidence to conclude that> 50.

Do not rejectH₀. There is insufficient evidence to conclude that> 50.

RejectH₀. There is sufficient evidence to conclude that> 50.

Do not rejectH₀. There is sufficient 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 statistictest statistic

State your conclusion.

RejectH₀. There is insufficient evidence to conclude that> 50.

Do not rejectH₀. There is insufficient evidence to conclude that> 50.

RejectH₀. There is sufficient evidence to conclude that> 50.

Do not rejectH₀. There is sufficient 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.

RejectH₀. There is insufficient evidence to conclude that> 50.

Do not rejectH₀. There is insufficient evidence to conclude that> 50.

RejectH₀. There is sufficient evidence to conclude that> 50.

Do not rejectH₀. There is sufficient evidence to conclude that> 50