Based on this sample information, do you think the machine needs an adjustment
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
One type of cookie manufactured by Haddad Food Company is Cocoa Cookies. The machine
that fills packages of these cookies is set up in such a way that the average net weight of these
packages is 32 ounces with a variance of .015 square ounce. From time to time the quality con-
trol inspector at the company selects a sample of a few such packages,
calculates the variance
of the net weights of these packages, and makes a test of hypothesis about the population vari-
ance.
She always uses .01. The acceptable value of the population variance is .015 square
ounce or less. If the conclusion from the test of hypothesis is that the population variance is not
within the acceptable limit, the machine is stopped and adjusted. A recently taken random sam-
ple of 25 packages from the production line gave a sample variance of .029 square ounce. Based
on this sample information, do you think the machine needs an adjustment? Assume that the net
weights of cookies in all packages are normally distributed .
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