dom sample of 12 tins of peas is taken from the output ents are weighed. The mean and standard deviation of we 1.8 gm respectively. Find 99% confidence limits for the r by the factory on the day in question. urther random sample of 12 tins is taken, and the mean or this sample are 302-1 gm and 1.6 gm respectively. Assur ts are the same on the two days, show that a 95% confid en mean weights on the two days includes zero. les on both days are from the same population. Find a weight of tins in that population, based on both samples.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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(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:1 (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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