Consider the following hypothesis test.

H₀:= 22H_a:22

A sample of 75 is used and the population standard deviation is 10. Compute thep-value and state your conclusion for each of the following sample results. Use= 0.01.

(Round your test statistics to two decimal places and yourp-values to four decimal places.)

(a)

x=24

Find the value of the test statistic.

Find thep-value.

p-value =

State your conclusion.

• Do not rejectH₀. There is sufficient evidence to conclude that22.
• RejectH₀. There is insufficient evidence to conclude that22.
• Do not rejectH₀. There is insufficient evidence to conclude that22.
• RejectH₀. There is sufficient evidence to conclude that22.

(b)

x=25.2

Find the value of the test statistic.

Find thep-value.

p-value =

State your conclusion.

• Do not rejectH₀. There is sufficient evidence to conclude that22.
• RejectH₀. There is insufficient evidence to conclude that22.
• Do not rejectH₀. There is insufficient evidence to conclude that22.
• RejectH₀. There is sufficient evidence to conclude that22.

(c)

x=21

Find the value of the test statistic.

Find thep-value.

p-value =

State your conclusion.

• Do not rejectH₀. There is sufficient evidence to conclude that22.
• RejectH₀. There is insufficient evidence to conclude that22.
• Do not rejectH₀. There is insufficient evidence to conclude that22.
• RejectH₀. There is sufficient evidence to conclude that22.