Q1. What is the purpose of sampling?
A. To verify that the population is approximately normally distributed
B. To estimate a target parameter of the population
C. To create a point estimator of the population mean or proportion
D. To achieve a more accurate result than can be achieved by surveying the entire population
Q2. The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluating this statement made by the commissioner?
A. H0: p = 0.10 and H1: p ? 0.10
B. H0: p = 0.10 and H1: p
C. H0: p > 0.10 and H1: p = 0.10
D. H0: p = 0.10 and H1: p > 0.10
Q3. In sampling without replacement from a population of 900, it's found that the standard error of themean, x is only two-thirds as large as it would have been if the population were infinite in size. What is the approximate sample size?
A. 200
B. 500
C. 400
D. 600
Q4. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesisthat the population mean is not equal to 52. Assume we have collected 38 sample data from which wecomputed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sampledata appear approximately normal. What is the test statistic?
A. 2.64
B. -2.64
C. 2.68
D. -2.68
Q5. If the level of significance (a) is 0.005 in a two-tail test, how large is the nonrejection region under thecurve of the t distribution?
A. 0.995
B. 0.005
C. 0.050
D. 0.9975