Exercise 4 A sample of 150 boxes of cereal was randomly selected from the production line and found to have a mean weight of 500g and a standard deviation of 20g. A week later a sample of 120 boxes was randomly selected and, this time, the mean weight was 505g with a standard deviation of 16g. (a) Using Minitab, Construct a 95% confidence interval for the difference in the average weight between the two samples. (a) With 95% confidence, would you conclude that the process has shifted or not? Explain your answer.

MATLAB: An Introduction with Applications
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Exercise 4
A sample of 150 boxes of cereal was randomly selected from the production
line and found to have a mean weight of 500g and a standard deviation of 20g.
A week later a sample of 120 boxes was randomly selected and, this time, the
mean weight was 505g with a standard deviation of 16g.
(a) Using Minitab, Construct a 95% confidence interval for the difference in the average
weight between the two samples.
(a) With 95% confidence, would you conclude that the process has shifted or not?
Explain your answer.
Transcribed Image Text:Exercise 4 A sample of 150 boxes of cereal was randomly selected from the production line and found to have a mean weight of 500g and a standard deviation of 20g. A week later a sample of 120 boxes was randomly selected and, this time, the mean weight was 505g with a standard deviation of 16g. (a) Using Minitab, Construct a 95% confidence interval for the difference in the average weight between the two samples. (a) With 95% confidence, would you conclude that the process has shifted or not? Explain your answer.
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