A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A random sample of 6 components was taken, and the durations of their timing signals were measured. a. The probability is 0.05 that the sample variance is bigger than what percentage of the population variance? b. The probability is 0.01 that the sample variance is less than what percentage of the population variance? E Click the icon to view a table of lower critical values for the chi-square distribution. E Click the icon to view a table of upper critical values for the chi-square distribution. a. The probability is 0.05 that the sample variance, expressed as a percentage of the population variance, is greater than or equal to %. (Round to the nearest hundredth as needed.) % b. The probability is 0.01 that the sample variance, expressed as a percentage of the population variance, is less than or equal to (Round to the nearest hundredth as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A random sample of 6 components was
taken, and the durations of their timing signals were measured.
a. The probability is 0.05 that the sample variance is bigger than what percentage of the population variance?
b. The probability is 0.01 that the sample variance is less than what percentage of the population variance?
Click the icon to view a table of lower critical values for the chi-square distribution.
Click the icon to view a table of upper critical values for the chi-square distribution.
a. The probability is 0.05 that the sample variance, expressed as a percentage of the population variance, is greater than or equal to
%.
(Round to the nearest hundredth
needed.)
b. The probability is 0.01 that the sample variance, expressed as a percentage of the population variance, is less than or equal to
%
(Round to the nearest hundredth as needed.)
Transcribed Image Text:A production process manufactures electronic components with timing signals whose duration follows a normal distribution. A random sample of 6 components was taken, and the durations of their timing signals were measured. a. The probability is 0.05 that the sample variance is bigger than what percentage of the population variance? b. The probability is 0.01 that the sample variance is less than what percentage of the population variance? Click the icon to view a table of lower critical values for the chi-square distribution. Click the icon to view a table of upper critical values for the chi-square distribution. a. The probability is 0.05 that the sample variance, expressed as a percentage of the population variance, is greater than or equal to %. (Round to the nearest hundredth needed.) b. The probability is 0.01 that the sample variance, expressed as a percentage of the population variance, is less than or equal to % (Round to the nearest hundredth as needed.)
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