b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over a period of time, it has been established that the volume of liquid in the cans follow a normal distribution with mean of 335 ml and standard deviation of 3 ml. A setting on the machine is altered, following which the operator suspects that the mean volume of liquid discharged by the machine into the cans has decreased. He takes a random sample of 50 cans and finds that the mean volume of liquid in these cans is 334.6 ml. Does this confirm his suspicion? Test at the 5% level of significance.
b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over a period of time, it has been established that the volume of liquid in the cans follow a normal distribution with mean of 335 ml and standard deviation of 3 ml. A setting on the machine is altered, following which the operator suspects that the mean volume of liquid discharged by the machine into the cans has decreased. He takes a random sample of 50 cans and finds that the mean volume of liquid in these cans is 334.6 ml. Does this confirm his suspicion? Test at the 5% level of significance.
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
Please answer question B
b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over
a period of time, it has been established that the volume of liquid in the cans follow a
normal distribution with
A setting on the machine is altered, following which the operator suspects that the mean
volume of liquid discharged by the machine into the cans has decreased. He takes a
random sample of 50 cans and finds that the mean volume of liquid in these cans is 334.6
ml. Does this confirm his suspicion? Test at the 5% level of significance.
![a) The final grades of forty students were randomly selected, recorded and inputted into
MINITAB. The results are summarized in Exhibit 1 below.
One-Sample Z: Grade
Test of mu-85 vs #85
The assumed standard deviation = 5.25
Variable
Grade
i.
ii.
iii.
iv.
V.
N
40
Mean
87
StDev
5.25
Calculate the value of *?
State the null and alternative hypotheses for the test.
What is the value of test statistic for this test.?
SE Mean
*
Calculate the p-value for this test.
State the conclusion of this test. Give a reason for your answer.
b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over
a period of time, it has been established that the volume of liquid in the cans follow a
normal distribution with mean of 335 ml and standard deviation of 3 ml.
A setting on the machine is altered, following which the operator suspects that the mean
volume of liquid discharged by the machine into the cans has decreased. He takes a random
sample of 50 cans and finds that the mean volume of liquid in these cans is 344.6 ml. Docs
this confirm his suspicion? Test at the 5% level of significance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F368ea900-5ae7-4dd1-a719-a25c6400c48c%2F06eca6bb-b145-4d73-b2fd-f7b1a2bcbbab%2Fe2tgvo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a) The final grades of forty students were randomly selected, recorded and inputted into
MINITAB. The results are summarized in Exhibit 1 below.
One-Sample Z: Grade
Test of mu-85 vs #85
The assumed standard deviation = 5.25
Variable
Grade
i.
ii.
iii.
iv.
V.
N
40
Mean
87
StDev
5.25
Calculate the value of *?
State the null and alternative hypotheses for the test.
What is the value of test statistic for this test.?
SE Mean
*
Calculate the p-value for this test.
State the conclusion of this test. Give a reason for your answer.
b) A machine fills cans with soft drinks so that their contents have a volume of 330ml. Over
a period of time, it has been established that the volume of liquid in the cans follow a
normal distribution with mean of 335 ml and standard deviation of 3 ml.
A setting on the machine is altered, following which the operator suspects that the mean
volume of liquid discharged by the machine into the cans has decreased. He takes a random
sample of 50 cans and finds that the mean volume of liquid in these cans is 344.6 ml. Docs
this confirm his suspicion? Test at the 5% level of significance.
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