cosmetics company fills its best-selling 8-ounce jars of fac he machine is set to dispense a mean of 8.1 ounces per jar ncontrollable factors in the process can shift the mean awa desirable. such a case, the dispensing machine is stopped and recali
cosmetics company fills its best-selling 8-ounce jars of fac he machine is set to dispense a mean of 8.1 ounces per jar ncontrollable factors in the process can shift the mean awa desirable. such a case, the dispensing machine is stopped and recali
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![A cosmetics company fills its best-selling 8-ounce jars of facial cream by an automatic dispensing machine.
The machine is set to dispense a mean of 8.1 ounces per jar.
Uncontrollable factors in the process can shift the mean away from 8.1 and cause either underfill or overfill, both of which are
undesirable.
In such a case, the dispensing machine is stopped and recalibrated.
Regardless of the mean amount dispensed, the standard deviation of the amount dispensed always has value 0.22 ounce.
A quality control engineer routinely selects 30 jars from the assembly line to check the amounts filled.
On one occasion, the sample mean is 8.2 ounces and the sample standard deviation is 0.25 ounce.
The quality control engineer must determine if there is sufficient evidence in the sample to indicate, at the 0.05 level of significance,
that the machine should be recalibrated.
Let u denote the mean amount of facial cream being dispensed.
The engineer tests the hypotheses: Ho : = 8.1 versus H1 : H # 8.1.
The value of the relevant test statistic equals: | (Select)
( Select ]
( Select]
( Select ]
[Select )
equals 0.100.
equals 8.2.
equals 0.010.
equals
cannot be determined.
The p-value equals:
-0.00639
0.0285
0.00639
The rejection region'ror tne test is:
LIIE UIUI UI1-2.576 } an
equals 2.1909.
The conclusion from the test is: The data do not provide suffi v
>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb84dfb1a-4bf8-4d37-8cdd-7c8b571f02bb%2Fd0c096ba-c492-4b0c-b280-6d400e86ece0%2F37kdufa_processed.png&w=3840&q=75)
Transcribed Image Text:A cosmetics company fills its best-selling 8-ounce jars of facial cream by an automatic dispensing machine.
The machine is set to dispense a mean of 8.1 ounces per jar.
Uncontrollable factors in the process can shift the mean away from 8.1 and cause either underfill or overfill, both of which are
undesirable.
In such a case, the dispensing machine is stopped and recalibrated.
Regardless of the mean amount dispensed, the standard deviation of the amount dispensed always has value 0.22 ounce.
A quality control engineer routinely selects 30 jars from the assembly line to check the amounts filled.
On one occasion, the sample mean is 8.2 ounces and the sample standard deviation is 0.25 ounce.
The quality control engineer must determine if there is sufficient evidence in the sample to indicate, at the 0.05 level of significance,
that the machine should be recalibrated.
Let u denote the mean amount of facial cream being dispensed.
The engineer tests the hypotheses: Ho : = 8.1 versus H1 : H # 8.1.
The value of the relevant test statistic equals: | (Select)
( Select ]
( Select]
( Select ]
[Select )
equals 0.100.
equals 8.2.
equals 0.010.
equals
cannot be determined.
The p-value equals:
-0.00639
0.0285
0.00639
The rejection region'ror tne test is:
LIIE UIUI UI1-2.576 } an
equals 2.1909.
The conclusion from the test is: The data do not provide suffi v
>
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman