Suppose the average weight of a box of cereal is 28 ounces with a standard deviation of 2 ounces. Assume the weights have a normal distribution. Which is smaller? The chance that one box has a weight less than 27.5 ounces, or the chance that 49 boxes have an average weight less than 27.5 ounces? The chance that the average of 49 boxes weighs less than 27.5 ounces is smaller. Both would give the same chance. The chance that one box weighs less than 27.5 ounces is smaller

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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Suppose the average weight of a box of cereal is 28 ounces with a standard deviation of 2 ounces.
Assume the weights have a normal distribution. Which is smaller? The chance that one box has a weight
less than 27.5 ounces, or the chance that 49 boxes have an average weight less than 27.5 ounces?
The chance that the average of 49 boxes weighs less than 27.5 ounces is smaller.
Both would give the same chance.
O The chance that one box weighs less than 27.5 ounces is smaller
Transcribed Image Text:Suppose the average weight of a box of cereal is 28 ounces with a standard deviation of 2 ounces. Assume the weights have a normal distribution. Which is smaller? The chance that one box has a weight less than 27.5 ounces, or the chance that 49 boxes have an average weight less than 27.5 ounces? The chance that the average of 49 boxes weighs less than 27.5 ounces is smaller. Both would give the same chance. O The chance that one box weighs less than 27.5 ounces is smaller
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