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Estimating the Mean of a Population in Statistics MCQ

Estimating the Mean of a Population in Statistics MCQ

1. An assumption related to the t-test for independent means is homogeneity of variance.

Answer

Correct Answer: True

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2. Which would be the most appropriate statistical test for use with a between-subjects research design?

Answer

Correct Answer: T-test for independent means

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3. Assume the following data to be self-esteem scores for 6 people before and after attending a group therapy session. What is the number of difference scores (D)? Person/Pre-test: 1/7,2/7,3/11,4/6,5/8,6/6

Answer

Correct Answer: 6

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4. The t-test for dependent means is appropriate for a pretest-posttest research design but not for a longitudinal research design.

Answer

Correct Answer: False

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5. You are doing a t-test based on the following information: X̅1 = 30.00, s1 = 2.00, N1 = 20,X̅2 = 32.00, s2 = 3.00, N2 = 22. What is the standard error of the difference?

Answer

Correct Answer: .78

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6. A step in doing a t-test within the context of a pretest-posttest research design is to calculate an independent t-test.

Answer

Correct Answer: False

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7. What is df when doing a t-test in the context of a pre-test posttest research design?

Answer

Correct Answer: ND – 1

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8. In the context of a t-test when using a pretest-posttest research design, which of the following best represents the null hypothesis?

Answer

Correct Answer: µD = 0

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9. Which of the following is accurate with respect to comparing (testing) the difference between two means?

Answer

Correct Answer: The procedures are different depending on whether you are comparing two sample means (independent means) or paired means.

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10. You are doing a t-test based on the following information: X̅1 = 30.00, s1 = 2.00, N1 = 20,X̅2 = 32.00, s2 = 3.00, N2 = 22Assuming α = .05 (two-tailed), the appropriate decision is to reject the null hypothesis.

Answer

Correct Answer: True

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11. You are doing a t-test based on the following information:X̅1 = 30, s1 = 2, N1 = 20,X̅2 = 32, s2 = 3, N2 = 22What is df?

Answer

Correct Answer: 40

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12. Assume the following data to be self-esteem scores for 6 people before and after attending a group therapy session. What would the mean difference score be? Person/Pre-test: 1/7,2/7,3/11,4/6,5/8,6/6

Answer

Correct Answer: –1.00

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13. In the context of a t-test when using a pretest-posttest research design, µD < 0 would be an example of a possible alternative hypothesis.

Answer

Correct Answer: True

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14. You are doing a t-test based on the following information: X̅1 = 30.00, s1 = 2.00, N1 = 20X̅2 = 32.00, s2 = 3.00, N2 = 22What is the calculated value for t?

Answer

Correct Answer: –2.56

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15. You are doing a t-test based on the following information:X̅1 = 30.00, s1 = 2.00, N1 = 20,X̅2 = 32.00, s2 = 3.00, N2 = 22Assuming α = .05 (two-tailed), what are the critical values?

Answer

Correct Answer: +/– 2.021

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16. A confidence interval must have a desired level of confidence ______.

Answer

Correct Answer: Less than 100%

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17. When discussing a confidence interval it is appropriate to discuss the probability that the ______.

Answer

Correct Answer: Interval contains an unknown population mean

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18. A confidence interval ______.

Answer

Correct Answer: Is calculated differently depending on whether or not σ is known

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19. Schmidt, Loftus, and Cummings do not think of interval estimation as a useful research tool.

Answer

Correct Answer: False

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20. If the 95% confidence interval is 8 ± 2, the ______.

Answer

Correct Answer: Lower limit for the 99% confidence interval will be < 6

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21. The midpoint around which we calculate the upper limit and lower limit for a confidence interval is ______.

Answer

Correct Answer: The sample mean

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22. The size of the sample has no influence on the size of the confidence interval.

Answer

Correct Answer: False

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23. A larger sample size will ______.

Answer

Correct Answer: Result in a narrower confidence interval than a smaller sample size

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24. Confidence intervals are used to ______.

Answer

Correct Answer: Estimate unknown population parameters

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25. A sample mean is a point estimate.

Answer

Correct Answer: True

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26. If we calculate the 95% confidence interval, this means we can say with ______.

Answer

Correct Answer: 95% confidence that the interval contains the population mean

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27. The value at the midpoint or center of a confidence interval is a(n) ______.

Answer

Correct Answer: Sample mean

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28. The 95% confidence interval ______.

Answer

Correct Answer: Will be narrower than the 99% confidence interval

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29. If the 95% confidence interval is 6 ± 2.5, both the upper and lower limits are known.

Answer

Correct Answer: True

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30. Some researchers have suggested that hypothesis testing be replaced with interval estimation.

Answer

Correct Answer: True

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31. Lower and upper boundaries of a confidence interval is known as

Answer

Correct Answer: Confidence limits

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32. Interval of values for a variable with a stated probability of containing an unknown population mean is confidence interval for mean

Answer

Correct Answer: True

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33. Range or interval of values with a stated probability of containing an unknown population parameter is known as

Answer

Correct Answer: Confidence interval

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34. Single value used to estimate an unknown population parameter is called

Answer

Correct Answer: Point estimate

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35. Estimation of a population parameter with a range, or interval, of values within which one has a certain degree of confidence the population parameter falls is called

Answer

Correct Answer: Interval estimation

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