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Chapter 2: Q.71 (page 135)
About what percent of the cockroaches have weights between and grams?
(a)
(b)
(c)
(d)
(e)
The correct answer is (b).
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What the mean means The figure below is a density curve. Trace the curve onto your paper.
(a) Mark the approximate location of the median. Justify your choice of location.
(b) Mark the approximate location of the mean. Justify your choice of location.
Use the 68-95-99.7 rule to estimate the percent of observations from a Normal distribution that fall in an interval involving points one, two, or three standard deviations on either side of the mean.
Which of the following is least likely to have a nearly Normal distribution?
(a) Heights of all female students taking STAT at State Tech.
(b) IQ scores of all students taking STAT at State Tech.
(c) SAT Math scores of all students taking STAT at State Tech.
(d) Family incomes of all students taking STAT 001 at State Tech.
(e) All of (a)鈥�(d) will be approximately Normal.
T2.11. As part of the President's Challenge, students can attempt to earn the Presidential Physical Fitness Award or the National Physical Fitness Award by meeting qualifying standards in five events: curl-ups, shuttle run, sit and reach, one-mile run, and pull-ups. The qualifying standards are based on the School Population Fitness Survey. For the Presidential award, the standard for each event is the percentile of the results for a specific age group and gender among students who participated in the survey. For the National award, the standard is the percentile. To win either award, a student must meet the qualifying standard for all five events.
Jane, who is years old, did curl-ups in one minute. Matt, who is years old, also did curl-ups in one minute. The qualifying standard for the Presidential award is curl-ups for Jane and curl-ups for Matt. For the National award, the standards are and , respectively.
(a) Compare Jane's and Matt's performances using percentiles. Explain in language simple enough for someone who knows little statistics to understand.
(b) Who has the higher standardized value (-score), Jane or Matt? Justify your answer.
Consider the height distribution for -year-old males.
(a) Find its mean and standard deviation. Show your method clearly.
(b) What height would correspond to a z-score of Show your work.
Length of pregnancies The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean of days and standard deviation ofdays. For each part, follow the four-step process.
(a) At what percentile is a pregnancy that lasts days (that鈥檚 about months)?
(b) What percent of pregnancies last between and days (roughly between months and months)?
(c) How long do the longest % of pregnancies last?
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