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for the sample are 301-8 gm and 1-8 gm respectively. Find 99% confidence limits for the mean weight of peas in tins produced by the factory on the day in question.

for the sample are 301-8 gm and 1-8 gm respectively. Find 99% confidence limits for the mean weight of peas in tins produced by the factory on the day in question.

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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Statistics and probability
(a) On a particular day a random sample of 12 tins of peas is taken from the output of a canning factory, and their contents are weighed. The mean and standard deviation of weight for the sample are 301-8 gm and 1-8 gm respectively. Find 99% confidence limits for the mean weight of peas in tins produced by the factory on the day in question. (b) On the following day a further random sample of 12 tins is taken, and the mean and standard deviation of contents for this sample are 302·1 gm and 1-6 gm respectively. Assuming that the variances of the weights are the same on the two days, show that a 95% confidence interval for the difference between mean weights on the two days includes zero. (c) Assume now that the samples on both days are from the same population. Find a 99% confidence interval for the mean weight of tins in that population, based on both samples.
Transcribed Image Text:(a) On a particular day a random sample of 12 tins of peas is taken from the output of a canning factory, and their contents are weighed. The mean and standard deviation of weight for the sample are 301-8 gm and 1-8 gm respectively. Find 99% confidence limits for the mean weight of peas in tins produced by the factory on the day in question. (b) On the following day a further random sample of 12 tins is taken, and the mean and standard deviation of contents for this sample are 302·1 gm and 1-6 gm respectively. Assuming that the variances of the weights are the same on the two days, show that a 95% confidence interval for the difference between mean weights on the two days includes zero. (c) Assume now that the samples on both days are from the same population. Find a 99% confidence interval for the mean weight of tins in that population, based on both samples.
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