1. The following information is available.

H0: μ = 58

H1: μ ≠ 58

The sample mean is 57, and the sample size is 48. The population standard deviation is 6.

Use the .01 significance level.

a. Is this a one- or two-tailed test?

One-tailed test

Two-tailed test

b. What is the decision rule?

Reject H0 if -2.58 < z < 2.58

Reject H0 if z < -2.58 or z > 2.58

c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic

d. What is your decision regarding H0?

Fail to reject H0

Reject H0

e. What is the p-value? (Round z value to 2 decimal places and final answer to 4 decimal places.)

p-value

H0: μ = 58

H1: μ ≠ 58

The sample mean is 57, and the sample size is 48. The population standard deviation is 6.

Use the .01 significance level.

a. Is this a one- or two-tailed test?

One-tailed test

Two-tailed test

b. What is the decision rule?

Reject H0 if -2.58 < z < 2.58

Reject H0 if z < -2.58 or z > 2.58

c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Value of the test statistic

d. What is your decision regarding H0?

Fail to reject H0

Reject H0

e. What is the p-value? (Round z value to 2 decimal places and final answer to 4 decimal places.)

p-value

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