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(3.46) Here are the IQ test scores of 31 seventh-grade girls in a Midwest school district: 14 100 104 89 102 91 114 114 103 105 108 130 120 132 1 128 18 119 8672 1 103 74 112 107 103 9896 112 112 93 Data Set eBook Step 1 We expect IQ scores to be approximately Normal Make a stemplot to check that there are no major departures from Normality. Use stems with units of tenths. Match your results7 240 8 069 9 1368 Stemplot III 10 023334578 11 1122244489 12 08 13 02 7 24 8 69 9 13 9 68 Stemplot 10 023334 10 578 11 1122244489 12 08 13 02 7 24 8 69 9 13 9 68 Stemplot IV 10 023334 10578 11 11222444 11 | 89 12 0 12 8 13 02 7 24 8 69 9 13 9 68 Stemplot II 10 23334 10 578 11 11222444 11 89 12 12 8 13 2Step 2: Does your stemplot show departures from Normality? There are two low outliers, but the stemplot looks reasonably Normal. No, the stemplot looks Normal The stemplot is symmetric with two peaks. The stemplot shows an uneven distribution with no definite peak. Step 3: Nonetheless, proportions calculated from a Normal distribution are not always very accurate for small numbers of observations. Calculate the mean for these IQ scores. Give your answer to 2 decimal places. Fill in the blank Step 4: Calculate the standard deviation for these IQ scores. Give your answer to 2 decimal places Fill in the blank Step 5: What proportions of the scores are within one standard deviation of the mean? Be careful. This is asking about the data. You will need to use the calculated mean and standard deviation to answer this. Giv e your answer to 2 decimal places. Fill in the blank Step 6: What proportions of the scores are within two standard deviations of the mean? Again, this is asking about the data Give your answer to 2 decimal places Fill in the blankStep 7: What would these proportions be in an exactly Normal distribution? 0.84 and 0.95 0.68 and 0.95 0.68 and 0.997 0.32 and 0.84

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