A manufacturer of matches claims that boxes contain, on average, 49 matches. On checking output over a substantial period, the manager finds that 3% of boxes contain fewer than 46 but 25% contain 51 or more. Making reasonable assumptions, calculate the mean and standard deviation of the number of matches per box. Do you feel that the manufacturer's claim is plausible?
A manufacturer of matches claims that boxes contain, on average, 49 matches. On checking output over a substantial period, the manager finds that 3% of boxes contain fewer than 46 but 25% contain 51 or more. Making reasonable assumptions, calculate the mean and standard deviation of the number of matches per box. Do you feel that the manufacturer's claim is plausible?
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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