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A sample of size 40 yields the following sorted data. Note that I have x-ed out a(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below.

A sample of size 40 yields the following sorted data. Note that I have x-ed out a(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A sample of size 40 yields the following sorted data. Note that I have x-ed out x(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below. 14.1 46.0 49.3 53.0 54.2 54.7 54.7 54.7 54.8 55.4 57.6 58.2 58.3 58.7 58.9 60.8 60.9 61.0 61.1 63.0 64.3 65.6 66.3 66.6 67.0 67.9 70.1 70.3 72.1 72.4 72.9 73.5 74.2 75.3 75.4 75.9 76.5 77.0 X 88.9 (a) Calculate range, IQR, and median of these data. (b) Given that the mean of these data is 63.50 (exactly) and the standard devia- tion is 12.33, what proportion of the data lie within one standard deviation of the mean? (c) How does your answer to (b) compare to the empirical rule approximation?
Transcribed Image Text:A sample of size 40 yields the following sorted data. Note that I have x-ed out x(39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below. 14.1 46.0 49.3 53.0 54.2 54.7 54.7 54.7 54.8 55.4 57.6 58.2 58.3 58.7 58.9 60.8 60.9 61.0 61.1 63.0 64.3 65.6 66.3 66.6 67.0 67.9 70.1 70.3 72.1 72.4 72.9 73.5 74.2 75.3 75.4 75.9 76.5 77.0 X 88.9 (a) Calculate range, IQR, and median of these data. (b) Given that the mean of these data is 63.50 (exactly) and the standard devia- tion is 12.33, what proportion of the data lie within one standard deviation of the mean? (c) How does your answer to (b) compare to the empirical rule approximation?
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