At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 500 ml of water, and in the past the standard deviation of the population of bottles has be 7.5 ml. The technician dispenses 39 samples of water and determines the volumes have a mean of 498.3 ml. The technician wants to perform a hypothesis test at (alpha) = 0.05 level to determine whether the machine is not dispensing 500 ml, and is thus out of calibration. Hypothesis Statement: Test Value(s): So, we ____ the null hypothesis because ______. There ______ enough evidence to support the claim that the machine mean volume differs from 500 ml and is out of calibration.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 500 ml of water, and in the past the standard deviation of the population of bottles has be 7.5 ml. The technician dispenses 39 samples of water and determines the volumes have a mean of 498.3 ml. The technician wants to perform a hypothesis test at (alpha) = 0.05 level to determine whether the machine is not dispensing 500 ml, and is thus out of calibration. Hypothesis Statement: Test Value(s): So, we ____ the null hypothesis because ______. There ______ enough evidence to support the claim that the machine mean volume differs from 500 ml and is out of calibration.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,