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