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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
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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.

(1 point) 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 = 0.0937 for all calculations below.
322, 302, 290, 289, 312, 341, 306, 297, 297, 314, 297, 281, 299, 301, 289
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 = 42.4?
(a) Construct a 90.63% confidence interval estimate of the variance, o², of the weight (gram) per bottle Give answers to at least 3 digits after the decimal.
(b) What assumption needs to be satisfied for the inferences made in (a) to be valid? Use appropriate graph to check the normality assumption. Report your p-value. Three digits after decimal
P =
Do the data follow an approximately Normal distribution?
A. No
В. Yes
(c) The data suggest that the standard deviation in weight (gram) per bottle is
42.4?
A. Significantly less than
B. Significantly greater than
C. Not significantly different from
Transcribed Image Text:(1 point) 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 = 0.0937 for all calculations below. 322, 302, 290, 289, 312, 341, 306, 297, 297, 314, 297, 281, 299, 301, 289 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 = 42.4? (a) Construct a 90.63% confidence interval estimate of the variance, o², of the weight (gram) per bottle Give answers to at least 3 digits after the decimal. (b) What assumption needs to be satisfied for the inferences made in (a) to be valid? Use appropriate graph to check the normality assumption. Report your p-value. Three digits after decimal P = Do the data follow an approximately Normal distribution? A. No В. Yes (c) The data suggest that the standard deviation in weight (gram) per bottle is 42.4? A. Significantly less than B. Significantly greater than C. Not significantly different from
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