Question

1.

a) For a test of

H₀ : μ = μ₀

vs.

H₁ : μ ≠ μ₀,

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

Answer 1

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,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You

answered by: anonymous