Part1 Review solutions

Part1 Review solutions - 80 Part I Exploring and...

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80 Part I Exploring and Understanding Data Review of Part I – Exploring and Understanding Data 1. Bananas. a) A histogram of the prices of bananas from 15 markets, as reported by the USDA, appears at the right. b) The distribution of banana prices is skewed to the left, so median and IQR are appropriate measures of center and spread. Median = 49 cents per pound IQR = 7 cents per pound c) The distribution of the prices of bananas from 15 markets, as reported by the USDA, is unimodal and skewed to the left. The center of the distribution is approximately 50 cents, with the lowest price 42 cents per pound and the highest price 53 cents per pound. 2. Prenatal care. a) 54 39 61 3 513 ... . ++ = , so the overall rate of 5.1 deaths per thousand live births is equal to the average of the rates for Intensive, Adequate, and Inadequate prenatal care, when rounded to the nearest tenth. There is no reason this should be the case unless the number of women receiving each type of prenatal care is approximately the same. b) Yes, the results indicate (but do not prove) that adequate prenatal care is important for pregnant women. The mortality rate is quite a bit lower for women with adequate care than for other women. c) No, the results do not suggest that a woman pregnant with twins should be wary of seeking too much medical care. Intensive care is given for emergency conditions. The data do not suggest that the level of care is the cause of the higher mortality. 3. Singers. a) The two statistics could be the same if there were many sopranos of that height. b) The distribution of heights of each voice part is roughly symmetric. The basses and tenors are generally taller than the altos and sopranos, with the basses being slightly taller than the tenors. The sopranos and altos have about the same median height. Heights of basses and sopranos are more consistent than altos and tenors. 4. Dialysis. There are only three patients currently on dialysis. With so few patients, no display is needed. We know that one patient has had his or her toes amputated and that two patients have developed blindness. What we don’t know is whether or not the patient that has had his or her toes amputated has also developed blindness. Even if we wanted to, we do not have enough information to make an appropriate display. 42 46 50 54 1 2 3 4 Banana Prices Price (cents per pound)
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Review of Part I 81 5. Beanstalks. a) The greater standard deviation for the distribution of women’s heights means that their heights are more variable than the heights of men. b) The z-score for women to qualify is 2.4 compared with 1.75 for men, so it is harder for men to qualify. 6. Bread. a) The distribution of the number of loaves sold each day in the last 100 days at the Clarksburg Bakery is unimodal and skewed to the right. The mode is near 100, with the majority of days recording fewer than 120 loaves sold. The number of loaves sold ranges from 95 to 140.
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This note was uploaded on 05/20/2008 for the course STAT 50 taught by Professor Weinstein during the Spring '08 term at Harvard.

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Part1 Review solutions - 80 Part I Exploring and...

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