Question

(1) (10 points) Determine whether the following statements are True or False: (a) (2 points) In a confidence interval (CI) for a population mean, the margin of error (MOE) is half the width of the CI. (i) True (ii) False (b) (2 points) If we constructed 1000 independent 90% CI's for a population mean u, then we'd expect about 900 of them to contain u (i) True (ii) False (c) (2 points) If we increase the sample size of SRS's, then the width of the CI's corre- sponding to the SRS's decreases, i.e., the CI's become narrower. (Hint: think about what happens to the margin of error m) (i) True (ii) False (d) (2 points) If we increase the confidence level C, then the width of the CI decreases, i.e., the CI becomes narrower. (Hint: think about what happens to the margin of error m) (i) True (ii) False (e) (2 points) Suppose the mean of a population u = 100. If we found that the margin of error is m = 2 for level of confidence 98%, then we can be 98% confident that a sample mean (computed from a sample of the same size used to compute m) is in the interval (98, 102). (i) True (ii) False

Answer 1

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