Question


Consider the following hypothesis test.

H0: μ = 15
Ha: μ ≠ 15

A sample of 50 provided a sample mean of 14.11. The population standard deviation is 3.

(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 = 0.05,

state your conclusion.

Reject H0. There is sufficient evidence to conclude that μ ≠ 15.Reject H0. There is insufficient evidence to conclude that μ ≠ 15.     Do not rejectH0. There is sufficient evidence to conclude that μ ≠ 15.Do not reject H0. There is insufficient evidence to conclude that μ ≠ 15.

(d)

State the critical values for the rejection rule. (Round your answers to two decimal places. 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 μ ≠ 15.

Reject H0. There is insufficient evidence to conclude that μ ≠ 15.     

Do not reject H0. There is sufficient evidence to conclude that μ ≠ 15.

Do not reject H0. There is insufficient evidence to conclude that μ ≠ 15.

Homework Answers

Answer #1

The population standard deviation is 3 is known therefore we use z-test

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