Question

# 1. a) For a test of H0 : μ = μ0 vs. H1 : μ ≠...

1.

a) For a test of

H0 : μ = μ0

vs.

H1 : μμ0,

the value of the test statistic z obs is -1.46. What is the p-value of the hypothesis test? (Express your answer as a decimal rounded to three decimal places.)

I got 0.101

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

 a μ ≠ 5.4 b μ = 3.8 c μ < 2.9 d X̄ > 4.2

I chose C

c) Which of the following statements about conclusions in a hypothesis test is true?

 a If the conclusion at the 5% significance level is to reject H0, then the conclusion at the 1% significance level must also be to reject H0. b If the conclusion at the 1% significance level is to reject H0, then the conclusion at the 5% significance level must also be to reject H0. c If the conclusion at the 5% significance level is to fail to reject H0, then the conclusion at the 1% significance level must be to reject H0. d If the conclusion at the 5% significance level is to fail to reject H0, then the conclusion at the 10% significance level must also be to fail to reject H0.

I chose B

d) Which of the following statements about the t-distribution is NOT true?

 a The t-distribution is characterized by two parameters, the mean μ and the variance σ2. b The t-distribution has support on the entire real number line. c The t-distribution has heavier tails than the standard normal distribution. d The t-distribution is symmetric about 0.

I chose A

a. P value = 0.144

b. Option c is correct

c. If the conclusion at the 1% significance level is to reject H0, then the conclusion at the 5% significance level must also be to reject H0

Option B is correct.

d. The t-distribution is characterized by two parameters, the mean μ and the variance σ2

Option A is correct.

Dear student,
Thank You

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