1.
a) For a test of
H_{0} : μ = μ_{0}
vs.
H_{1} : μ ≠ μ_{0},
the value of the test statistic z _{obs} is 1.46. What is the pvalue 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 onesided 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 H_{0}, then the conclusion at the 1% significance level must also be to reject H_{0}. 

b 
If the conclusion at the 1% significance level is to reject H_{0}, then the conclusion at the 5% significance level must also be to reject H_{0}. 

c 
If the conclusion at the 5% significance level is to fail to reject H_{0}, then the conclusion at the 1% significance level must be to reject H_{0}. 

d 
If the conclusion at the 5% significance level is to fail to reject H_{0}, then the conclusion at the 10% significance level must also be to fail to reject H_{0}. 
I chose B
d) Which of the following statements about the tdistribution is NOT true?
a 
The tdistribution is characterized by two parameters, the mean μ and the variance σ^{2}. 

b 
The tdistribution has support on the entire real number line. 

c 
The tdistribution has heavier tails than the standard normal distribution. 

d 
The tdistribution 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 tdistribution is characterized by two parameters, the mean μ and the variance σ2
Option A is correct.
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