Question

A sample of 31 observations is selected from a normal population. The sample mean is 69, and the population standard deviation is 8. Conduct the following test of hypothesis using the 0.01 significance level.

H₀: μ = 72

H₁: μ ≠ 72

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

• One-tailed test

• Two-tailed test

2. What is the decision rule?

• Reject H₀ if −2.576 < z < 2.576

• Reject H₀ if z < −2.576 or z > 2.576

3. 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 __________

4. What is your decision regarding H₀?

• Reject H₀

• Fail to reject H₀

e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.)

p. value = ___________

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

There is a _________ % chance of finding a z value this large by “sampling error” when H0 is true.

Answer 1

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