5. A bottle-filling machine is set to dispense 12.1 fluid ounces into juice bottles. To ensure that the machine is filling accurately, every hour a worker randomly selects four bottles filled by the machine during the past hour and measures the contents. If there is convincing evidence that the mean amount of juice dispensed is different from 12.1 ounces or if there is convincing evidence that the standard deviation is greater than 0.05 ounce, the machine is shut down for recalibration. It can be assumed that the amount of juice that is dispensed into bottles is normally distributed. During one hour, the mean number of fluid ounces of four randomly selected bottles was 12.05 and the standard deviation was 0.085 ounce. (a) Perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ounces. Assume the conditions for inference are met.
5. A bottle-filling machine is set to dispense 12.1 fluid ounces into juice bottles. To ensure that the machine is filling accurately, every hour a worker randomly selects four bottles filled by the machine during the past hour and measures the contents. If there is convincing evidence that the mean amount of juice dispensed is different from 12.1 ounces or if there is convincing evidence that the standard deviation is greater than 0.05 ounce, the machine is shut down for recalibration. It can be assumed that the amount of juice that is dispensed into bottles is normally distributed. During one hour, the mean number of fluid ounces of four randomly selected bottles was 12.05 and the standard deviation was 0.085 ounce. (a) Perform a test of significance to determine whether the mean amount of juice dispensed is different from 12.1 fluid ounces. Assume the conditions for inference are met.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:5. A bottle-filling machine is set to dispense 12.1 fluid ounces into juice bottles. To ensure that the machine is
filling accurately, every hour a worker randomly selects four bottles filled by the machine during the past hour
and measures the contents. If there is convincing evidence that the mean amount of juice dispensed is different
from 12.1 ounces or if there is convincing evidence that the standard deviation is greater than 0.05 ounce, the
machine is shut down for recalibration. It can be assumed that the amount of juice that is dispensed into bottles
is normally distributed.
During one hour, the mean number of fluid ounces of four randomly selected bottles was 12.05 and the standard
deviation was 0.085 ounce.
(a) Perform a test of significance to determine whether the mean amount of juice dispensed is different from
12.1 fluid ounces. Assume the conditions for inference are met.
Transcribed Image Text:Name:
Period:
Problem:
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State the Population of Interest:
Define the Parameter:
Claims
Ho using symbols
Ho using words
HA using symbols
HA using words
Name the Procedure:
Conditions
Random
Normal
Independent
Calculations (Show your work)
Curve
Calculations
Conclusion (in context)
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