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The weights of boxes produced by a factory are normally distributed with a standard deviation of σ = 2.5 kg. A quality control team takes a random sample of 36 boxes and measures their weights. The sample mean weight is found to be 50.2 kg. (a) Compute and interpret a 99% confidence interval for the true mean weight of the boxes. (b) How large a sample size is necessary if the width of the 99% confidence interval is to be at most 0.5 kg?

The weights of boxes produced by a factory are normally distributed with a standard deviation of σ = 2.5 kg. A quality control team takes a random sample of 36 boxes and measures their weights. The sample mean weight is found to be 50.2 kg. (a) Compute and interpret a 99% confidence interval for the true mean weight of the boxes. (b) How large a sample size is necessary if the width of the 99% confidence interval is to be at most 0.5 kg?

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN: 9780079039897

Author: Carter

Publisher: McGraw Hill

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Transcribed Image Text:The weights of boxes produced by a factory are normally distributed with a standard deviation of σ = 2.5 kg. A quality control team takes a random sample of 36 boxes and measures their weights. The sample mean weight is found to be 50.2 kg. (a) Compute and interpret a 99% confidence interval for the true mean weight of the boxes. (b) How large a sample size is necessary if the width of the 99% confidence interval is to be at most 0.5 kg?

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