Answered: i. ii. iii. Calculate the value of *?…

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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Question

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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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iv. Calculate the p-value for this test.

v. 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. Does this confirm his suspicion? Test at the 5% level of significance.

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