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A dairy company must maintain strict oversight on the weight of a box customers. Their current advertisement specifies between 290 and 310g per bottle of yogurt. The company collected 15 bottles of yogurt to measure their weight. The weight (gram) of each bottle are shown as follows. Use a = 0.054 for all calculations below. 305, 311, 310, 301, 295, 321, 302, 293, 294, 324, 284, 293, 294, 295, 296

A dairy company must maintain strict oversight on the weight of a box customers. Their current advertisement specifies between 290 and 310g per bottle of yogurt. The company collected 15 bottles of yogurt to measure their weight. The weight (gram) of each bottle are shown as follows. Use a = 0.054 for all calculations below. 305, 311, 310, 301, 295, 321, 302, 293, 294, 324, 284, 293, 294, 295, 296

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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A dairy company must maintain strict oversight on the weight of a box of yogurt they sell to customers. Their current advertisement specifies between 290 and 310g per bottle of yogurt. The company collected 15 bottles of yogurt to measure their weight. The weight (gram) of each bottle are shown as follows. Use a = 0.054 for all calculations below. 305, 311, 310, 301, 295, 321, 302, 293, 294, 324, 284, 293, 294, 295, 296 The data is found in the accompanying data file. Download .csv file Does the data suggest that the sample standard deviation in the weight (gram) per bottle compares to the hypothesised o 47.4? (a) Construct a 94.6% confidence interval estimate of the variance, o2, of the weight (gram) per bottle Give answers to at least 3 digits after the decimal. (0.0 (b) What assumption needs to be satisfied for the inferences made in (a) to be valid? use an appropriate tool/ R command to check the normality assumption. Report your p-value. Three digits after decimal P = Do the data follow an approximately Normal distribution? A. Yes B. No (c) The data suggest that the standard deviation in weight (gram) per bottle is A. Significantly less than B. Not significantly different from C. Significantly greater than 47.4?
Transcribed Image Text:A dairy company must maintain strict oversight on the weight of a box of yogurt they sell to customers. Their current advertisement specifies between 290 and 310g per bottle of yogurt. The company collected 15 bottles of yogurt to measure their weight. The weight (gram) of each bottle are shown as follows. Use a = 0.054 for all calculations below. 305, 311, 310, 301, 295, 321, 302, 293, 294, 324, 284, 293, 294, 295, 296 The data is found in the accompanying data file. Download .csv file Does the data suggest that the sample standard deviation in the weight (gram) per bottle compares to the hypothesised o 47.4? (a) Construct a 94.6% confidence interval estimate of the variance, o2, of the weight (gram) per bottle Give answers to at least 3 digits after the decimal. (0.0 (b) What assumption needs to be satisfied for the inferences made in (a) to be valid? use an appropriate tool/ R command to check the normality assumption. Report your p-value. Three digits after decimal P = Do the data follow an approximately Normal distribution? A. Yes B. No (c) The data suggest that the standard deviation in weight (gram) per bottle is A. Significantly less than B. Not significantly different from C. Significantly greater than 47.4?
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