University of Phoenix Material
Practice Set 4
Practice Set 4
1. Find z for each of the following confidence levels. Round to two decimal places.
2. For a data set obtained from a random sample, n = 81 and x = 48.25. It is known
that σ = 4.8.
3. Determine the sample size (nfor the estimate of μ for the following.
4. True or False.
a.The null hypothesis is a claim about a population parameter that is assumed to be false until it is declared false.
A. True
B. False
b. An alternative hypothesis is a claim about a population parameter that will be true if the null hypothesis is false.
A. True
B. False
c. The critical point(s) divide(s) is some of the area under a distribution curve into rejection and nonrejection regions.
A. True
B. False
d. The significance level, denoted by α, is the probability of making a Type II error, that is, the probability of rejecting the null hypothesis when it is actually true.
A. True
B. False
e. The nonrejection region is the area to the right or left of the critical point where the null hypothesis is not rejected.
A. True
B. False
5. Fill in the blank. The level of significancein a test of hypothesis is the probability of making a ________. It is the area under the probability distribution curve where we reject H0.
A. Type I error
B. Type II error
C. Type III error
6. Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and the population is known to be normally distributed with σ = 6.
7. The following information is obtained from two independent samples selected from two normally distributed populations.
n1 = 18 x1 = 7.82 σ1 = 2.35
n2 =15 x2 =5.99 σ2 =3.17
A. What is the point estimate of μ1 − μ2? Round to two decimal places.
B. Construct a 99% confidence interval for μ1 − μ2. Find the margin of error for this estimate.
Round to two decimal places.
8. The following information is obtained from two independent samples selected from two
populations.
n1 =650 x1 =1.05 σ1 =5.22
n2 =675 x2 =1.54 σ2 =6.80
Test at a 5% significance level if μ1 is less than μ2.
a) Identify the appropriate distribution to use.
b) What is the conclusion about the hypothesis?
A. Reject Ho
B. Do not reject Ho
9. Using data from the U.S. Census Bureau andDiscussion Questions,Business & Finance,,
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