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Sample Statistics Exam #500, Exams of Statistics

Multiple Choice Questions with Answer Key.

Typology: Exams

2018/2019

Uploaded on 02/11/2022

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Sample Statistics Exam #500
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
1. Which is the following is correct?
a. The probability of a type I error is β.
b. The probability of a type II error is (1 - β).
c. The probability of a type II error is α.
d. The probability of a type I error is (1 - α).
e. none of the above
2. A random sample of 10 items is taken from a normal population. The sample had a mean of 82 and a
standard deviation is 26. Which is the appropriate 99% confidence interval for the population mean?
a.
b.
c.
d.
e. none of the above
3. A manufacturer of contact lenses is studying the curvature of the lenses it sells. In particular, the last 500
lenses sold had an average curvature of 0.5. The population is
a. the 500 lenses.
b. 0.5.
c. the lenses sold today.
d. all the lenses sold by the manufacturer.
e. none of the above
4. According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the
data within what number of standard deviations of the mean?
a. one standard deviation
b. two standard deviations
c. three standard deviations
d. four standard deviations
e. none of the above
5. A random sample of 5 mosquitos is sampled. The number of mosquitos carrying the West Nile Virus in the
sample is an example of which random variable?
a. normal
b. student’s t
c. binomial
d. uniform
e. none of the above
6. A political scientist is studying voters in California. It is appropriate for him to use a mean to describe
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Sample Statistics Exam

Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.

  1. Which is the following is correct? a. (^) The probability of a type I error is β. b. (^) The probability of a type II error is (1 - β). c. (^) The probability of a type II error is α. d. (^) The probability of a type I error is (1 - α). e. none of the above
  2. A random sample of 10 items is taken from a normal population. The sample had a mean of 82 and a standard deviation is 26. Which is the appropriate 99% confidence interval for the population mean? a. b. c.

d.

e. none of the above

  1. A manufacturer of contact lenses is studying the curvature of the lenses it sells. In particular, the last 500 lenses sold had an average curvature of 0.5. The population is a. the 500 lenses. b. 0.5. c. the lenses sold today. d. all the lenses sold by the manufacturer. e. none of the above
  2. According to the empirical rule, the bell or mound shaped distribution will have approximately 68% of the data within what number of standard deviations of the mean? a. one standard deviation b. two standard deviations c. three standard deviations d. four standard deviations e. none of the above
  3. A random sample of 5 mosquitos is sampled. The number of mosquitos carrying the West Nile Virus in the sample is an example of which random variable? a. normal b. student’s t c. binomial d. uniform e. none of the above
  4. A political scientist is studying voters in California. It is appropriate for him to use a mean to describe

a. the age of a typical voter. b. the party affiliation of a typical voter. c. the sex of a typical voter. d. the county of residence of a typical voter. e. none of the above

  1. The long-run average of a random variable is a. the expected value b. the coefficient of determination c. the standard deviation d. the mode e. none of the above
  2. A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% of their blouses have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be a. 0. b. 0. c. 0. d. 1. e. none of the above
  3. If population A has a larger standard deviation than population B, which of the following is NOT true? a. Population B has a smaller variance than population A. b. The mean of a sample of 20 from population A has a larger standard deviation than the mean of a sample of 20 from population B. c. A typical observation from population A will be farther from the mean of population A than a typical observation from B will be from the mean of population B. d. The mean of a sample from population A will on average be larger than the mean of a sample from population B. e. none of the above
  4. An inspector needs to learn if customers are getting fewer ounces of a soft drink than the 28 ounces stated on the label. After she collects data from a sample of bottles, she is going to conduct a test of a hypothesis. She should use a. a two tailed test. b. a one tailed test with an alternative to the right. c. a one tailed test with an alternative to the left. d. either a one or a two tailed test because they are equivalent. e. none of the above
  5. The manufacturer of Anthony Big’s exercise equipment is interested in the relationship between the number of months (X) since the equipment was purchased by a customer and the number of hours (Y) the customer used the equipment last week. The result was the regression equation Y = 12 - 0.5X. The number 0.5 in the equation means that the average customer a. used the equipment for 30 minutes last week. b. who has owned the equipment an extra month used the equipment 30 minutes less last week than the average customer who has owned it one month less. c. who just bought the equipment used it 30 minutes last week.

Answer Section

  • Sample Statistics Exam # - 1. ANS: E DIF: 2 TOP: MULTIPLE CHOICE - 2. ANS: D DIF: 2 TOP: - 3. ANS: D DIF: 2 TOP: - 4. ANS: A DIF: 2 TOP: - 5. ANS: C DIF: 2 TOP: - 6. ANS: A DIF: 2 TOP: - 7. ANS: A DIF: 2 TOP: - 8. ANS: E DIF: 2 TOP: - 9. ANS: D DIF: 2 TOP:
      1. ANS: C DIF: 2 TOP:
      1. ANS: B DIF: 2 TOP:
      1. ANS: B DIF: 2 TOP:
      1. ANS: D DIF: 2 TOP:
      1. ANS: C DIF: 3 TOP:
      1. ANS: B DIF: 2 TOP:
      1. ANS: B DIF: 1 TOP: