Estimation and Confidence Intervals in Statistics MCQs

Estimation and Confidence Intervals in Statistics MCQs

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1: Confidence Boundaries are the _____ boundaries of a confidence interval given within a specified level of confidence.

A.   Upper

B.   Middle

C.   Lower

D.   Both a and c

2: Confidence Interval is the interval or range of possible values within which a known population parameter is likely to be contained.

A.   True

B.   False

3: The upper and lower boundaries of a confidence interval given within a specified level of confidence refer to_____

A.   Confidence Boundaries

B.   Confidence Limits

C.   Confidence Interval

D.   Both a and b

4: How many types of estimation are there?

A.   Two

B.   Three

C.   Four

D.   Five

5: Interval Estimation is a statistical procedure in which a sample of data is used to find the _____ of possible values within which a population parameter is likely to be contained.

A.   Interval

B.   Range

C.   Boundary

D.   Both a and b

6: Level of Confidence is the probability or likelihood that an interval estimate will contain an unknown population parameter.

A.   True

B.   False

7: Lower Confidence Limit is the _____ possible value of a population parameter in a confidence interval with a specified level of confidence.

A.   First

B.   Last

C.   Smallest

D.   Both a and c

8: A statistical procedure that involves the use of a sample statistic to estimate a population parameter is known as_____

A.   Point estimation

B.   Interval estimation

C.   Range estimation

D.   None of these

9: Upper Confidence Limit is the _____ possible value of a population parameter in a confidence interval with a specified level of confidence.

A.   First

B.   Last

C.   Largest

D.   Both a and c

10: A statistical procedure in which a sample mean is selected to determine the likelihood of obtaining that mean if the null hypothesis were true is:

A.   An educated guess.

B.   Appropriation.

C.   Significance testing.

D.   Estimation.

11: The goal of ______ is the same as that in hypothesis testing: to learn more about the value of a mean or mean difference in a population of interest.

A.   An educated guess

B.   Differentiating

C.   Sampling

D.   Estimation

12: Which of the following explains why interval estimation can be a useful procedure to estimate a population mean?

A.   It defines the range of scores within which the population mean is likely to be containe

B.   The sample mean is equal to the population mean on average.

C.   The sample mean is an unbiased estimator of the mean difference.

D.   It is a very precise estimate of the population mean.

13: The z score for a 90% confidence interval is:

A.   There is not enough information to answer this question.

B.   ±1.645.

C.   ±0.5.

D.   ±2.5.

14: The z score for a 90% confidence interval is:

A.   There is not enough information to answer this question.

B.   ±1.645.

C.   ±0.5.

D.   ±2.5.

15: The confidence interval for one sample selected from a population with an unknown variance is computed using a critical value for which type of test?

A.   Z test

B.   T test

C.   None

D.   Both A and B

16: The estimated standard error for the difference is used to compute the confidence interval for which test?

A.   Z test

B.   One sample

C.   Related samples

D.   Two-independent sample

17: A researcher surveys the amount of caffeinated drinks consumed by 12 participants and estimates the 80% CI for a sample with a mean of M = 22.3 and an estimated standard error of 4.7. What is the confidence interval at this level of confidence?

A.   80% CI 15.9, 28.7

B.   80% CI 17.6, 27.0

C.   780% CI 12.1, 32.5

D.   There is not enough information to answer this question.

18: A researcher surveys the amount of caffeinated drinks consumed by 12 participants and estimates the 80% CI for a sample with a mean of M = 22.3 and an estimated standard error of 4.7. What is the confidence interval at this level of confidence?

A.   80% CI 15.9, 28.7

B.   80% CI 17.6, 27.0

C.   780% CI 12.1, 32.5

D.   There is not enough information to answer this question.

19: In a sample of 18 participants, a researcher estimates the 95% CI for a sample with a mean of M = 8.8 and an estimated standard error for the difference of 1.8. What is the lower confidence limit for this interval?

A.   6.4

B.   7.0

C.   5.0

D.   3.2

20: In a sample of eight participants, a researcher estimates the 95% CI for a sample with a mean of M = 15 and an estimated standard error for the difference scores of 5.35. What is the confidence interval at this level of confidence?

A.   95% CI 3.5, 20.5

B.   95% CI 0.35, 30.65

C.   95% CI 2.35, 27.65

D.   There is not enough information to answer this question

21: A researcher increases her level of confidence from 95% to 99%. What will happen to the precision of her estimate?

A.   The estimate will be more precise.

B.   The estimate will be less precise.

C.   The precision of her estimate will not change.

D.   It depends on the size of the population.

22: Research has found that the average IQ in the United States is 100 points, which is a point estimate.

A.   True

B.   False

23: Upper confidence level is the largest possible value of a standard error in a specified confidence interval.

A.   True

B.   False

24: When the null hypothesis is outside a confidence interval, this indicates that it would likely be rejected with hypothesis testing.

A.   True

B.   False

A.   True

B.   False

26: For the same data, decreasing the certainty of an estimate will result in a less precise estimate.

A.   True

B.   False