Question

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

You may need to use the appropriate appendix table or technology to answer this 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 reject H0. 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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