The following data sets represent simple random samples from a population whose mean is 100. Complete parts (a) through

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The following data sets represent simple random samples from a population whose mean is 100. Complete parts (a) through (e) below. Full data set Data Set I 106 125 90 128 85 74 75 109 Data Set 11 106 125 90 128 85 74 75 109 89 90 110 87 113 117 99 123 97 85 82 99 Data Set 111 106 125 90 128 85 74 75 109 89 90 110 87 113 117 99 123 97 99 91 109 121 88 101 78 88 104 88 117 85 82

(a) Compute the sample mean of each data set. Calculate the sample mean for data set I. (Type an integer or a decimal.) Calculate the sample mean for data set II. (Type an integer or a decimal.) Calculate the sample mean for data set III. (Round to three decimal places as needed.) (b) For each data set, construct a 95% confidence interval about the population mean. Construct a 95% confidence interval for data set The lower bound is The upper bound is (Round to two decimal places as needed.) Construct a 95% confidence interval for data set II. The lower bound is The upper bound is (Round to two decimal places as needed.) Construct a 95% confidence interval for data set III. The lower bound is The upper bound is (Round to two decimal places as needed.)

(c) What impact does the sample size n have on the width of the interval? A. As the sample size increases, the width of the interval decreases. B. The sample size has no impact on the width of the interval. OC. As the sample size increases, the width of the interval increases. (d) Suppose that the data value 106 was accidentally recorded as 061. For each data set construct a 95% confidence interval using the misentered data. Construct a 95% confidence interval for data set I. The lower bound is The upper bound is (Round to two decimal places as needed.) Construct a 95% confidence interval for data set II. The lower bound is The upper bound is (Round to two decimal places as needed.) Construct a 95% confidence interval for data set III. The lower bound is The upper bound is (Round to two decimal places as needed.) +

(e) Which intervals, if any, still capture the population mean, 100? ООО O A. All of the sets B. Sets II and III C. Only set III D. Sets I and II E. Only set ооооо F. Only set 11 G. Sets I and III H. None of the sets Which of the following is the concept illustrated with the misentered data? ООО A. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust. B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is less robust. C. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.