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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.

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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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.
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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