The distribution of heights of the players on a university football team in Arizona is approximatelynormally distributed with a mean of 74.9 inches and standard deviation of 2.0 inches. Robert playsfor this Arizona team. His best friend Peter plays for a university football team in Florida. Bothplayers are 73.2 inches tall and both player heights have the same standardized score (z-score) fortheir respective teams. If the Florida distribution is also approximately normal, but with a standarddeviation of 2.9 inches, what is the mean height of a football player on this Florida team?(A) 70.7 inches(B) 72.0 inches(C) 74.4 inches(D) 75.7 inches(E) 77.8 inches

The objective of this question is to find the mean height of a football player on the Florida team…

Answered: The distribution of heights of the…

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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The tallest living man at one time had a height of 244 cm. The shortest living man at that time had a height of 92.3 cm. Heights of men at that time had a mean of 174.73 cm and a standard deviation of 6.23 cm. Which of these two men had the height that was more extreme?
The speed of cars driving past Johnson City High School, on 666 Reynolds Rd, were recorded over one school year. The speed limit on that part of Reynolds Rd is 20 mph. The mean of the speed readings was 24.19 mph, with a standard deviation of 3.56 mph.
According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches. If Zsike is 67 inches tall, what is her z-score?
The chocolate chip cookies that are produced at Perry’s Cookie Emporium have weights which are approximately normally distributed with the mean weight 180 grams and with standard deviations 20 grams. The cookies, however, are sold by count, not by weight. Perry wants to improve his image, so he decides to set aside lightest 20% of the cookies to be packaged and sold separately. What cookie weight will divide the lightest 20% from the heaviest 80%?
A company that supplies LP gas for heating keeps data on the low temperature for each day of each month. It sum-marizes these data by finding the mean, median, standard deviation and interquartile range. The company assumesthat people use the LP gas for heat when the temperature is below 70°, so it creates a second set of data by subtract-ing 70 from each daily low temperature. Which of the four summary statistics will change for this second data set?A) mean and median onlyB) mean and standard deviation onlyC) median and IQR onlyD) standard deviation and IQR onlyE) mean, median, standard deviation, and IQR
Justin and Robbie are golfers. The distribution of Justin's golf scores has a mean of 225 and a standard deviation of 25. Robbie's golf score distribution has a mean of 240 and a standard deviation of 15. Both distributions are approximately normal and they are completely independent of each other. What is the closest probability that Justin will have a higher golf score than Robbie in a randomly selected golf round?
According to the recent research, the main height for woman in the US is 63.7 inches and the standard deviation is 2.7 inches what percent of women are between 58.3 and 69.1 inches.
The University of Georgia has several football players participating in the NFL draft this season. A few former coaches are helping the players prepare for the NFL tryout by tracking their practice performance. One coach calculates the athlete's speed in feet per second each round and then finds the mean and standard deviation for all rounds. Since the workout tested at the NFL tryout is the 40 yard dash, the coach decides to convert these speeds to yards per second instead of feet per second, where 1 yard is equal to 3 feet. Which of the following best describes what would happen to the summary statistics for the athletes? (A) The mean would increase, but the standard deviation would remain the same. (B) Both the mean and standard deviation would remain the same. (C) Both the mean and standard deviation would decrease. (D) The mean would decrease, but the standard deviation would remain the same. (E) The mean would decrease, but the standard deviation would increase.
Willow Road and Arroyo Seco are schools in different states. The heights of students at Willow Road have a population mean of 50.4 inches and a standard deviation of 6 inches. The heights of students at Arroyo Seco have a population mean of 54.3 inches with a standard deviation of 2.3 inches. For each school, the distribution of the heights of students is clearly bell-shaped.Elsa is a student at Willow Road and is 67 inches tall. Jane is a student at Arroyo Seco and is 59 inches tall.
In 2017, the average credit score for loans that were purchased by a government-sponsored mortgage loan company was 746. A random sample of 35 mortgages recently purchased by the company was selected, and it was found that the average credit score was 758 with a sample standard deviation of 20. Complete parts a through c.
The heights of adult men in America are normally distributed, with a mean of 69.5 inches and a standard deviation of 2.61 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.2 inches and a standard deviation of 2.54 inches.
In class A, Jamir got 85 for his first test. Jamir's class mean was 75 and the standard deviation was 5.In class B, Laurabelle got 80 in her first test. Laurabelle's class mean was 50 and the standard deviation was 10.In a fair comparison of the two students in two different classes, who did better in his or her test. (Compare Jamir and Laurabelle's standing in their classes.Note Z-score gives that information.) Jamir Laurabelle Both did the same none of the above

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