Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes:14.02 13.97 14.11 14.12. 14.10 14.02 14.15 13.97 14.05 14.04 14.11 14.12The quality control manager is concerned that the mean weight is actually less than 14 ounces. Your help is needed once again to construct a confidence interval to estimate the mean weight of all boxes of cereal of this type. It is reasonable to assume that the population is approximately normal.Explain why it is not necessary to assess normality for this sample, even though it is a small sample.Show how to find the boundaries of a 98% confidence interval using only the highlighted values from your summary statistics output. (For this activity, do not use any other methods to find the confidence interval.)Write an interpretation for your confidence interval, including units if appropriate. You may round the upper and lower limits to 2 places.Based on the confidence interval, is there a reason the quality control manager should be concerned that the mean weight is actually less than 14 ounces? Explain.

Given data: 14.02, 13.97, 14.11, 14.12, 14.10, 14.02, 14.15, 13.97, 14.05, 14.04, 14.11, 14.12

Answered: Boxes of cereal are labeled as…

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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Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes:

14.02 13.97 14.11 14.12. 14.10 14.02 14.15 13.97 14.05 14.04 14.11 14.12

The quality control manager is concerned that the mean weight is actually less than 14 ounces. Your help is needed once again to construct a confidence interval to estimate the mean weight of all boxes of cereal of this type. It is reasonable to assume that the population is approximately normal.

Explain why it is not necessary to assess normality for this sample, even though it is a small sample.
Show how to find the boundaries of a 98% confidence interval using only the highlighted values from your summary statistics output. (For this activity, do not use any other methods to find the confidence interval.)
Write an interpretation for your confidence interval, including units if appropriate. You may round the upper and lower limits to 2 places.
Based on the confidence interval, is there a reason the quality control manager should be concerned that the mean weight is actually less than 14 ounces? Explain.

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