Sampling Distributions And Estimation Assignment

1. A random sample of 10 employees is selected from a large firm. For the 10 employees, the number of days each was absent during the past month was found to be 0, 2, 4, 2, 5, 1, 7, 3, 2, and 4. Of the following values, which would you use as the point estimate for the average number of days absent for all the firm’s employees?

A. 30

B. 2.5

C. 4

D. 3

Sampling Distributions And Estimation Assignment

2. A federal auditor for nationally chartered banks, from a random sample of 100 accounts, found that the average demand deposit balance at the First National Bank of Arkansas was $549.82. If the auditor needed a point estimate for the population mean for all accounts at this bank, what should he use?

A. The average of $549.82 for this sample

B. There’s no acceptable value available.

C. The auditor should survey the total of all accounts and determine the mean.

D. The average of $54.98 for this sample

3. Consider a null hypothesis stating that the population mean is equal to 52, with the research hypothesis that the population mean is not equal to 52. Assume we have collected 38 sample data from which we computed a sample mean of 53.67 and a sample standard deviation of 3.84. Further assume the sample data appear approximately normal. What is the test statistic?

A. –2.68

B. –2.64

C. 2.64

D. 2.68

4. Nondirectional assertions lead only to _______-tail tests.

A. right

B. one

C. left

D. two

5. In a criminal trial, a Type II error is made when a/an

A. innocent person is convicted.

B. innocent person is acquitted.

C. guilty defendant is convicted.

D. guilty defendant is acquitted.

Sampling Distributions And Estimation Assignment

6. Determine which of the following four population size and sample size combinations would not require the use of the finite population correction factor in calculating the standard error.

A. N = 2500; n = 75

B. N = 1500; n = 300

C. N = 15,000; n = 1,000

D. N = 150; n = 25

7. Determine the power for the following test of hypothesis.

H0 : μ = 950 vs. H1 : μ ≠ 950, given that μ = 1,000, α = 0.10, σ = 200, and n = 25.

A. 0.4938

B. 0.3465

C. 0.5062

D. 0.6535

8. 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 ≠ 0.10

C. H0: p > 0.10 and H1: p ≤ 0.10

D. H0: p ≥ 0.10 and H1: p < 0.10 9. What sample size is required from a very large population to estimate a population proportion within 0.05 with 95% confidence? Don’t assume any particular value for p. A. 767 B. 271 C. 385 D. 38 10. In sampling without replacement from a population of 900, it’s found that the standard error of the mean is only two-thirds as large as it would have been if the population werare not used within the body of the assignment. Citations are not formatted correctly.

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