Assume that women's heights have a distribution that is symmetric and unimodal, with a mean of64inches, and the standard deviation is2.5inches. Assume that men's heights have a distribution that is symmetric and unimodal, with mean of73inches and a standard deviation of2inches. 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 grossAdjusted Domestic Gross($ millions)MovieThe Dark Knight (2008)$643Batman (1989)$547Superman (1978)$543The Dark Knight Rises (2012)$487Wonder Woman (2017)$407Batman Forever (1995)$366Superman 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 ismillion dollars. This means that about 25% of the top 7 DC movies made more than this much money.B. The median ismillion dollars. This means that about 50% of the top 7 DC movies made more than this much money.C. The median ismillion dollars. This means that about 75% of the top 7 DC movies made more than this much money.D. The median ismillion 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.

Question

Assume that​ women's heights have a distribution that is symmetric and​ unimodal, with a mean of64​inches, and the standard deviation is2.5inches. Assume that​ men's heights have a distribution that is symmetric and​ unimodal, with mean of73inches and a standard deviation of2inches. 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 grossAdjusted Domestic Gross($ millions)MovieThe Dark Knight (2008)$643Batman (1989)$547Superman (1978)$543The Dark Knight Rises (2012)$487Wonder Woman (2017)$407Batman Forever (1995)$366Superman 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 ismillion dollars. This means that about 25% of the top 7 DC movies made more than this much money.B. The median ismillion dollars. This means that about 50% of the top 7 DC movies made more than this much money.C. The median ismillion dollars. This means that about 75% of the top 7 DC movies made more than this much money.D. The median ismillion 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.

Accepted Answer

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