Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information: the mean distance commuted to school by students is 14.5 miles, and the standard deviation of the distance commuted is 3.7 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university. (a) According to Chebyshev's theorem, at least 56% of the commute distances lie between _miles ? and _ miles?. (Round your answer to 1 decimal place.) (b) According to Chebyshev's theorem, at least _% ? (36%56%75%84%89%) of the commute distances lie between 7.1 miles and 21.9 miles.
Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information: the mean distance commuted to school by students is 14.5 miles, and the standard deviation of the distance commuted is 3.7 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university. (a) According to Chebyshev's theorem, at least 56% of the commute distances lie between _miles ? and _ miles?. (Round your answer to 1 decimal place.) (b) According to Chebyshev's theorem, at least _% ? (36%56%75%84%89%) of the commute distances lie between 7.1 miles and 21.9 miles.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information: the mean distance commuted to school by students is
miles, and the standard deviation of the distance commuted is
miles.
14.5
3.7
Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.
(a) According to Chebyshev's theorem, at least
56%
(b) According to Chebyshev's theorem, at least _% ? (36%56%75%84%89%) of the commute distances lie between
7.1
21.9
|
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