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Chapter 2: Q. 1.3 (page 114)
3. What percent of young women have heights between 62 and 72 inches? Show your work.
The percentage young women have heights between 62 and 72 inches are
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Mrs. Munson is concerned about how her daughter鈥檚 height and weight compared with those of other girls of the same age. She uses an online calculator to determine that her daughter is at the percentile for weight and the percentile for height. Explain to Mrs. Munson what this means.
Questions 3 and 4 relate to the following setting. The graph displays the cumulative relative frequency of the lengths of phone calls made from the mathematics department office at Gabaldon High last month.
R2.4 Aussie, Aussie, Aussie A group of Australian students were asked to estimate the width of their classroom in feet. Use the dot plot and summary statistics below to answer the following questions.
(a) Suppose we converted each student's guess from feet to meters . How would the shape of the distribution be affected? Find the mean, median, standard deviation, and IQR for the transformed data.
(b) The actual width of the room was feet. Suppose we calculated the error in each student's guess as follows: guess . Find the mean and standard deviation of the errors. How good were the students' guesses? Justify your answer.
Approximately locate the median (equal-areas point) and the mean (balance point) on a density curve.
Use Table A to find the value from the standard Normal distribution that satisfies each of the following conditions. In each case, sketch a standard Normal curve with your value of marked on the axis.
4. The percentile
Shopping spree The figure below is a cumulative relative frequency graph of the amount spent by
consecutive grocery shoppers at a store.
(a) Estimate the interquartile range of this distribution. Show your method.
(b) What is the percentile for the shopper who spent ?
(c) Challenge: Draw the histogram that corresponds to this graph. 
Normal is only approximate: ACT scores Scores on the ACT test for the 2007 high school graduating class had mean and standard deviation . In all, students in this class took the test. Of these, had scores higher than and another had scores exactly 27. ACT scores are always whole numbers. The exactly Normal distribution can include any value, not just whole numbers. What鈥檚 more, there is no area exactly above under the smooth Normal curve. So ACT scores can be only approximately Normal. To illustrate this fact, find
(a) the percent of ACT scores greater than .
(b) the percent of ACT scores greater than or equal to .
(c) the percent of observations from the distribution that are greater than 27. (The percent greater than or equal to is the same, because there is no area exactly over .)
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