Question

# 1. For a particular scenario, we wish to test the hypothesis H0 : μ = 14.9....

1. For a particular scenario, we wish to test the hypothesis H0 : μ = 14.9. For a sample of size 35, the sample mean is 12.7. The population standard deviation σ is known to be 8. Compute the value of the test statistic zobs. (Express your answer as a decimal rounded to two decimal places.)

2. For a test of H0 : μ = μ0 vs. H1 : μμ0, assume that the test statistic follows a t-distribution with 18 degrees of freedom. What is the critical value of the test if a 10% significance level is desired? (Express your answer as a positive decimal rounded to three decimal places.)

3. For a test of H0 : μ = μ0 vs. H1 : μμ0, the value of the test statistic z obs is -1.05. What is the p-value of the hypothesis test? (Express your answer as a decimal rounded to three decimal places.)

4. Which of the following is a valid alternative hypothesis for a one-sided hypothesis test about a population mean μ?

A. > 4.2

B. μ < 2.9

C. μ ≠ 5.4

D. μ = 3.8

5. Consider a test of H0 : μ = μ0 vs. H0 : μ < μ0. Suppose this test is based on a sample of size 8, that σ2 is known, and that the underlying population is normal. If a 5% significance level is desired, what would be the rejection rule for this test?

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