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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman