Resistance and Robustness The data sets represent simple random samples from a

Chapter 9, Problem 49

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Resistance and Robustness The data sets represent simple random samples from a population whose mean is 100. Data Set I 106 122 91 127 88 74 77 108 Data Set II 106 122 91 127 88 74 77 108 87 88 111 86 113 115 97 122 99 86 83 102 Data Set III 106 122 91 127 88 74 77 108 87 88 111 86 113 115 97 122 99 86 83 102 88 111 118 91 102 80 86 106 91 116 (a) Compute the sample mean of each data set. (b) For each data set, construct a 95% confidence interval about the population mean. (c) What effect does the sample size n have on the width of the interval? For parts (d)(e), suppose that the data value 106 was accidentally recorded as 016. (d) For each data set, construct a 95% confidence interval about the population mean using the incorrectly entered data. (e) Which intervals, if any, still capture the population mean,100? What concept does this illustrate?

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