Chapter 2: Q 26. (page 108)
Density curves Sketch a density curve that might describe a distribution that has a single peak and is skewed to the left.
Chapter 2: Q 26. (page 108)
Density curves Sketch a density curve that might describe a distribution that has a single peak and is skewed to the left.
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Get started for freeWhich 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)–(d) will be approximately Normal.
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.
Paul isyears old and cm tall.
(a) Find the z-score corresponding to Paul’s height. Explain what this value means.
(b) Paul’s height puts him at the percentile among -year-old males. Explain what this means to someone who knows no statistics.
A study recorded the amount of oil recovered from the wells in an oil field. Here are descriptive statistics for that set of data from Minitab
Runners’ heart rates The figure below is a Normal probability plot of the heart rates of male runners after six minutes of exercise on a treadmill.The distribution is close to Normal. How can you see this? Describe the nature of the small deviations from Normality that are visible in the plot.
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