4b.1Home work question: Please don't reject my probability question.   (a) The first section entails selecting randomly 12 cans of peas from a canning factory's output on a given day, and weighing the contents. For the sample, the mean weight is 301-8 g, and the standard deviation is 1-8 g. Find the 99% confidence limits for the mean weight of peas in tins produced by the factory on the relevant

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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4b.1Home work question:
Please don't reject my probability question.  
(a) The first section entails selecting randomly 12 cans of peas from a canning factory's output on a given day, and weighing the contents. For the sample, the mean weight is 301-8 g, and the standard deviation is 1-8 g. Find the 99% confidence limits for the mean weight of peas in tins produced by the factory on the relevant day.

Then, a second random sample of 12 tins is collected the following day. The mean and standard deviation of the contents for this sample are 302-1 gm and 1-6 gm, respectively. Show that a 95% confidence interval for the difference between the mean weights on the two days includes zero. Assuming that the variances of the weights are the same on the two days, do not change the variances of the weights.
Assume right now that the samples taken on both days came from the same population. Based on the results of the two samples, calculate the 99% confidence interval for the population's mean tin weight.

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