A dairy claims that the mean amount in their milk containers is 128 ounces. Let X be the number of ounces of milk per container, and assume that X is Normally distributed with standard deviation of one ounce. a) If the claim is true, what percentage of containers will have (i) Less than 126 ounces? (ii) More than 129 ounces? (iii) Between 127.5 and 130.5 ounces? b) Using the answer to the previous part, do you feel that there is evidence that the true mean

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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A dairy claims that the mean amount in their milk containers is 128 ounces. Let X be the
number of ounces of milk per container, and assume that X is Normally distributed with
standard deviation of one ounce.
a) If the claim is true, what percentage of containers will have
(i) Less than 126 ounces?
More than 129 ounces?
(ii)
(iii) Between 127.5 and 130.5 ounces?
b) Using the answer to the previous part, do you feel that there is evidence that the true mean
is less than 128 ounces? If so, why?
Transcribed Image Text:A dairy claims that the mean amount in their milk containers is 128 ounces. Let X be the number of ounces of milk per container, and assume that X is Normally distributed with standard deviation of one ounce. a) If the claim is true, what percentage of containers will have (i) Less than 126 ounces? More than 129 ounces? (ii) (iii) Between 127.5 and 130.5 ounces? b) Using the answer to the previous part, do you feel that there is evidence that the true mean is less than 128 ounces? If so, why?
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