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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
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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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 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. 

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.
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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