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10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)

10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)

MATLAB: An Introduction with Applications
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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10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)
Transcribed Image Text:10) Boxes of cereal are labeled as containing 14 ounces. Following are the weights of a sample for 12 boxes. Assume that the population is normally distributed. 14.02 14.15 13.97 14.11 14.12 14.10 14.02 13.97 14.05 14.04 14.11 14.12 a) Find the sample variance. Sk 0.0038 b) Construct a 98% confidence interval for the population standard deviation. Use formula & table (make sure to note which table was used and what the inputs were). Round to 2 decimal places. c) The goal of the quality control manager is for the population standard deviation of the weights to be less than 0.1. Based on the confidence interval, is it reasonable to believe that the goal has been met? (remember: to support "less than 0.1" all values in the interval need to be less than 0.1)
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