A sample of 33 observations is selected from a normal population. The sample mean is 25, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.02 significance level. H0: μ ≤ 23 H1: μ > 23 a. Is this a one- or two-tailed test? multiple choice 1 One-tailed test Two-tailed test

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A sample of 33 observations is selected from a normal population. The sample mean is 25, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.02 significance level.

H0: μ ≤ 23
H1: μ > 23

a. Is this a one- or two-tailed test?

multiple choice 1

  • One-tailed test
  • Two-tailed test



b. What is the decision rule?

multiple choice 2

  • Reject H0 when z > 2.054
  • Reject H0 when z ≤ 2.054



c. What is the value of the test statistic? (Round your answer to 2 decimal places.)

d. What is your decision regarding H0?

multiple choice 3

  • Reject H0
  • Fail to reject H0



e-1. What is the p-value? (Round your answer to 4 decimal places.)

e-2. Interpret the p-value? (Round your final answer to 2 decimal places.)

There is a _______ % chance of finding a z value this large by 'sampling error' when H0 is true.

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