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Assume that​ women's heights have a distribution that is symmetric and​ unimodal, with a mean of 64 ​inches, and the standard deviation is 2.5 inches. Assume that​ men's heights have a distribution that is symmetric and​ unimodal, with mean of 73 inches and a standard deviation of 2 inches.

Assume that​ women's heights have a distribution that is symmetric and​ unimodal, with a mean of 64 ​inches, and the standard deviation is 2.5 inches. Assume that​ men's heights have a distribution that is symmetric and​ unimodal, with mean of 73 inches and a standard deviation of 2 inches.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Assume that​ women's heights have a distribution that is symmetric and​ unimodal, with a mean of
64
​inches, and the standard deviation is
2.5
inches. Assume that​ men's heights have a distribution that is symmetric and​ unimodal, with mean of
73
inches and a standard deviation of
2
inches.
 
a. What​ women's height corresponds to a​ z-score of
−1.80​?
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?
Movie adjusted domestic gross Adjusted Domestic Gross ($ millions) Movie The Dark Knight (2008) $643 Batman (1989) $547 Superman (1978) $543 The Dark Knight Rises (2012) $487 Wonder Woman (2017) $407 Batman Forever (1995) $366 Superman II (1981) $346
Transcribed Image Text:Movie adjusted domestic gross Adjusted Domestic Gross ($ millions) Movie The Dark Knight (2008) $643 Batman (1989) $547 Superman (1978) $543 The Dark Knight Rises (2012) $487 Wonder Woman (2017) $407 Batman Forever (1995) $366 Superman II (1981) $346
The top seven movies based on DC comic book characters for the U.S. box office as of fall 2017 are shown in the accompanying table, rounded to the nearest million. Complete parts (a) through (c) below. Click the icon to view the adjusted domestic gross for the top seven movies. ... a. Find and interpret the median in context. Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) O A. The median is million dollars. This means that about 25% of the top 7 DC movies made more than this much money. B. The median is million dollars. This means that about 50% of the top 7 DC movies made more than this much money. C. The median is million dollars. This means that about 75% of the top 7 DC movies made more than this much money. D. The median is million dollars. This means that none of the top 7 DC movies made more than this much money. b. Find and interpret the IQR in context. IQR = million dollars (Type an integer or a decimal. Do not round.) Interpret the interquartile range in context. Choose the correct answer below. O A. The top 7 DC movies had domestic grosses that varied by as much as this value. B. This value is the mean domestic gross of the top 7 DC movies. C. The middle 50% of the top 7 DC movies had domestic grosses that varied by as much as this value. D. This value is the difference between the maximum and minimum domestic grosses of the top 7 DC movies. c. Find the range of the data. Explain why the IQR is preferred over the range as a measure of variability. Range = million dollars (Type an integer or a decimal. Do not round.) Explain why the IQR is preferred over the range as a measure of variability. Choose the correct answer below. A. The IQR depends on many observations and is therefore more reliable. B. The IQR depends on a single observation, and is therefore more reliable. C. The IQR depends on only two observations, the largest and the smallest, and is therefore more reliable. O D. The IQR depends on only two observations, the mean and the median, and is therefore more reliable.
Transcribed Image Text:The top seven movies based on DC comic book characters for the U.S. box office as of fall 2017 are shown in the accompanying table, rounded to the nearest million. Complete parts (a) through (c) below. Click the icon to view the adjusted domestic gross for the top seven movies. ... a. Find and interpret the median in context. Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) O A. The median is million dollars. This means that about 25% of the top 7 DC movies made more than this much money. B. The median is million dollars. This means that about 50% of the top 7 DC movies made more than this much money. C. The median is million dollars. This means that about 75% of the top 7 DC movies made more than this much money. D. The median is million dollars. This means that none of the top 7 DC movies made more than this much money. b. Find and interpret the IQR in context. IQR = million dollars (Type an integer or a decimal. Do not round.) Interpret the interquartile range in context. Choose the correct answer below. O A. The top 7 DC movies had domestic grosses that varied by as much as this value. B. This value is the mean domestic gross of the top 7 DC movies. C. The middle 50% of the top 7 DC movies had domestic grosses that varied by as much as this value. D. This value is the difference between the maximum and minimum domestic grosses of the top 7 DC movies. c. Find the range of the data. Explain why the IQR is preferred over the range as a measure of variability. Range = million dollars (Type an integer or a decimal. Do not round.) Explain why the IQR is preferred over the range as a measure of variability. Choose the correct answer below. A. The IQR depends on many observations and is therefore more reliable. B. The IQR depends on a single observation, and is therefore more reliable. C. The IQR depends on only two observations, the largest and the smallest, and is therefore more reliable. O D. The IQR depends on only two observations, the mean and the median, and is therefore more reliable.
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