Women’s Heights Assume that women’s heights have a distribution that is symmetric and unimodal, with a mean of 64 inches and a standard deviation of 2.5 inches. a. What women’s height corresponds with a z -score of − 1.00 ? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women’s league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men’s league). Compared to his or her peers, who is taller? (See problem 3.39 for data on men’s heights.)
Women’s Heights Assume that women’s heights have a distribution that is symmetric and unimodal, with a mean of 64 inches and a standard deviation of 2.5 inches. a. What women’s height corresponds with a z -score of − 1.00 ? b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women’s league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men’s league). Compared to his or her peers, who is taller? (See problem 3.39 for data on men’s heights.)
Solution Summary: The author compares the heights of Evelyn Akhator and Draymond Green with respect to their peer groups.
Women’s Heights Assume that women’s heights have a distribution that is symmetric and unimodal, with a mean of 64 inches and a standard deviation of 2.5 inches.
a. What women’s height corresponds with a z-score of
−
1.00
?
b. Professional basketball player Evelyn Akhator is 75 inches tall and plays in the WNBA (women’s league). Professional basketball player Draymond Green is 79 inches tall and plays in the NBA (men’s league). Compared to his or her peers, who is taller? (See problem 3.39 for data on men’s heights.)
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
13. In 2000, two organizations conducted surveys to ascertain the public's opinion on banning gay men from serving in leadership roles in the Boy Scouts.• A Pew poll asked respondents whether they agreed with "the recent decision by the Supreme Court" that "the Boy Scouts of America have a constitutional right to block gay men from becoming troop leaders."A Los Angeles Times poll asked respondents whether they agreed with the following statement: "A Boy Scout leader should be removed from his duties as a troop leader if he is found out to be gay, even if he is considered by the Scout organization to be a model Boy Scout leader."One of these polls found 36% agreement; the other found 56% agreement. Which of the following statements is true?A) The Pew poll found 36% agreement, and the Los Angeles Times poll found 56% agreement.B) The Pew poll includes a leading question, while the Los Angeles Times poll uses neutral wording.C) The Los Angeles Times Poll includes a leading question, while…
Answer questions 2
(c) Give an example where PLANBAC)=
PCAPCBIPCC), but the sets are not pairwise
independent
Chapter 3 Solutions
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