Actual IQ test scores. Here are the IQ test scores of 31 seventh-grade girls in aMidwest

Chapter 0, Problem 3.29

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Actual IQ test scores. Here are the IQ test scores of 31 seventh-grade girls in aMidwest school district:4114 100 104 89 102 91 114 114 103 105108 130 120 132 111 128 118 119 86 72111 103 74 112 107 103 98 96 112 112 93(a) We expect IQ scores to be approximately Normal. Make a stemplot to checkthat there are no major departures from Normality.(b) Nonetheless, proportions calculated from a Normal distribution are notalways very accurate for small numbers of observations. Find the mean x andstandard deviation s for these IQ scores. What proportions of the scores arewithin one standard deviation and within two standard deviations of the mean?What would these proportions be in an exactly Normal distribution?

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