As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distributed with amean of 61 minutes and a standard deviation of 9 minutes. Let x denote finishing time for the finishers.a) The distribution of the variable x has mean 61b) The distribution of the standardized variable z has mean 01and standard deviation 9and standard deviationc) The percentage of finishers with times between 45 and 65 minutes is equal to the area under the standard normal curve between-1.778and 2.67d) The percentage of finishers with times exceeding 79 minutes is equal to the area under the standard normal curve that lies to therightof 2

Given the information:- The times of the finishers in the New York City 10 km run are normally…

Answered: As reported in "Runner's World"…

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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Similar questions

A negatively-skewed distribution has = 60, = 10. If this entire distribution is transformed into z-scores, describe the shape, mean, and standard deviation for the resulting distribution of z-scores.
The heights of adult men in America are normally distributed, with a mean of 69.4 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.53 inches.a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?z = b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.%c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?z = d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. %= e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence.
The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.62 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.5 inches and a standard deviation of 2.55 inches.a) If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)?z = b) If a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)?z = c) Who is relatively taller? The 5 foot 11 inch American woman The 6 foot 3 inch American man
The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.3 inches and a standard deviation of 2.51 inches.a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)?z = b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent.%c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)?z = d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent.%
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 12 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 20% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. million dollars X S
Suppose that the distance of fly balls hit to the outfield is normally distributed with a mean of 252 feet in a standard deviation of 50 feet find the 70th percentile of the distribution of the average of 49 fly balls
The heights of adult men in America are normally distributed, with a mean of 69.2 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 64.5 inches and a standard deviation of 2.56 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to 4 decimal places)? z= b) If a woman is 5 feet 11 inches tall, what is her z-score (to 4 decimal places)? z= c) Who is relatively taller? OThe 6 foot 3 inch American man OThe 5 foot 11 inch American woman
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 9 million dollars and a standard deviation of 1.4 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Suppose the midterm exam score for 100 students at UPC had a mean of 70 and a standard deviation of 5. How many students scored between 55 and 85 marks 65 and 75 marks
After the physical training required during World War II the distribution of a mile run times for male students at the University of Illinois was approximately normal with a mean of 7.11 minutes in a standard deviation of 0.74 minutes what proportion of these students can run a mile in 5 minutes or less Using the same data what percent of students would take between 6 and 8 minutes to run a mile
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8 million dollars and a standard deviation of 1.3 million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 10% of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place. 00 0 million dollars X S ? Check acer Q tab esc ! 1 9. a @ 2 W →> S #m 3 X e C d $ LAS 4 C r % 5 f t > < 6 g y & JX b 7 h C n K1300
Suppose that the quarterly sales levels among health care information systems companies are approximately normally distributed with a mean of 8vmillion dollars and a standard deviation of 1.1million dollars. One health care information systems company considers a quarter a "failure" if its sales level that quarter is in the bottom 15%of all quarterly sales levels. Determine the sales level (in millions of dollars) that is the cutoff between quarters that are considered "failures" by that company and quarters that are not. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.

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