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Chapter 2: Q. 7 (page 139)
T2.7. If the heights of American men follow a Normal distribution, and have heights between and , what is your estimate of the standard deviation of the height of American men?
(a)
(b)
(c)
(d)
(e)
The standard deviation of the height of American men is option (c).
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The distribution of heights of adult American men is approximately Normal with mean inches and standard deviation of inches. Draw a Normal curve on which this mean and standard deviation are correctly located. (Hint: Draw the curve first, locate the points where the curvature changes, then mark the horizontal axis.)
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.
Suppose that you convert the class鈥檚 heights from inches to centimeters (). Describe the effect this will have on the shape, center, and spread of the distribution. 
Use Table A to 铿乶d the proportion of observations from the standard Normal distribution that satis铿乪s each of the following statements. In each case, sketch a standard Normal curve and shade the area under the curve that is the answer to the question. Use your calculator or the Normal Curve applet to check your answers.
More Table A practice
(a) is between 鈭�and
(b) is between 鈭�and 鈭�
Blood pressure Larry came home very excited after a visit to his doctor. He announced proudly to his wife, 鈥淢y doctor says my blood pressure is at the percentile among men like me. That means I鈥檓 better off than about of similar men.鈥� How should his wife, who is a statistician, respond to Larry鈥檚 statement?
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