Estimating the Mean of a Population in Statistics MCQs

Estimating the Mean of a Population in Statistics MCQs

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1: 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

A.   Interval estimation

B.   Point estimate

C.   Confidence interval

D.   Confidence limits

2: Single value used to estimate an unknown population parameter is called

A.   Interval estimation

B.   Point estimate

C.   Confidence interval

D.   Confidence limits

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

A.   Interval estimation

B.   Point estimate

C.   Confidence interval

D.   Confidence limits

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

A.   True

B.   False

5: Lower and upper boundaries of a confidence interval is known as

A.   Interval estimation

B.   Point estimate

C.   Confidence interval

D.   Confidence limits

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

A.   True

B.   False

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

A.   True

B.   False

8: The 95% confidence interval ______.

A.   Will be wider than the 99% confidence interval

B.   Can only be calculated if both the sample mean and the population mean are known

C.   Can only be calculated if the population mean and the standard deviation are known

D.   Will be narrower than the 99% confidence interval

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

A.   Population mean

B.   Upper limit

C.   Sample mean

D.   Standard deviation

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

A.   95% confidence that the interval contains the population mean

B.   95% confidence that the interval contains the sample mean

C.   5% confidence that the interval contains the population mean

D.   5% confidence that the interval contains the sample mean

11: A sample mean is a point estimate.

A.   True

B.   False

12: Confidence intervals are used to ______.

A.   Estimate unknown sample statistics

B.   Validate null hypothesis significance testing

C.   Estimate unknown population parameters

D.   Assure significant outcomes

13: A larger sample size will ______.

A.   Result in a wider confidence interval than a smaller sample size

B.   Result in a narrower confidence interval than a smaller sample size

C.   Affect the upper limit of the confidence interval, but not the lower limit

D.   Affect the lower limit of the confidence interval, but not the upper limit

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

A.   True

B.   False

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

A.   The sample mean

B.   The population mean

C.   The standard deviation of the population

D.   The estimate of the standard deviation of the population

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

A.   Lower limit for the 99% confidence interval will be > 6

B.   Lower limit for the 99% confidence interval will be < 6

C.   Lower limit for the 90% confidence interval will be < 6

D.   Upper limit for the 95% confidence interval would be considered to be unknown

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

A.   True

B.   False

18: A confidence interval ______.

A.   Can only be calculated if σ is known

B.   Is normally only calculated if σ is not known

C.   Is calculated differently depending on whether or not σ is known

D.   Can only be calculated if the population mean is known

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

A.   Interval contains an unknown population mean

B.   Population mean is in the interval

C.   Sample mean is unknown

D.   Standard deviation is unknown

20: A confidence interval must have a desired level of confidence ______.

A.   Of 100%

B.   Of 5%

C.   Less than 100%

D.   Equal to the standard deviation

21: 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?

A.   +/– 2.021

B.   +/– 1.684

C.   +/– 2.030

D.   +/– 1.690

22: 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?

A.   –3.17

B.   .31

C.   -6.25

D.   –2.56

23: 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.

A.   True

B.   False

24: 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

A.   .83

B.   –1.00

C.   6

D.   8

25: 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?

A.   19

B.   21

C.   40

D.   41

26: 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.

A.   True

B.   False

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

A.   The procedures are always the same.

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

C.   The procedures are the same for between-subject research designs and within-subject research designs.

D.   The null hypothesis is rejected.

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

A.   µD = 0

B.   µD = 1

C.   µD < 0

D.   µD > 0

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

A.   N – 2

B.   N

C.   ND – 1

D.   ND

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

A.   True

B.   False

31: 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?

A.   6.60

B.   .78

C.   .63

D.   .32

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

A.   True

B.   False

33: 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

A.   1

B.   5

C.   12

D.   6

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

A.   T-test for dependent means

B.   T-test for independent means

C.   Z-test

D.   Df test

A.   True

B.   False