1. As quality manager of a firm producing mineral water, you are concerned with the amount of water in the bottle which is measured by its weight. The following data represents the weights of 150 bottles that you supplied in your city. 9.17 9.25 9.70 9.58 9.34 9.97 10.36 10.24 9.29 10.74 10.28 10.14 10.77 10.85 10.64 10.31 10.73 9.26 9.24 10.64 10.47 10.59 10.49 9.80 10.76 10.48 9.43 9.78 9.39 10.18 10.43 9.61 10.53 9.68 10.28 10.96 10.89 10.21 10.35 10.23 9.92 10.88 9.44 10.56 10.84 9.44 9.91 10.36 10.60 10.23 10.15 10.91 10.63 9.31 9.53 9.31 9.86 9.25 9.64 10.60 10.67 10.78 10.27 9.23 9.57 10.41 9.37 10.89 9.26 9.70 10.44 9.37 10.44 9.77 10.70 10.02 9.76 9.34 10.63 9.82 9.45 10.90 10.02 9.74 10.97 10.72 10.61 9.08 9.50 10.45 9.19 9.46 9.75 10.53 9.09 9.10 9.78 9.27 9.19 10.67 9.29 10.76 9.36 9.87 10.13 10.52 10.63 10.18 9.81 10.87 9.26 9.48 9.58 9.67 10.23 9.96 10.08 10.33 10.49 9.45 9.60 9.43 10.59 9.81 10.83 10.07 9.77 9.10 9.15 9.01 10.13 9.45 9.92 10.13 9.70 10.19 10.08 9.77 10.67 10.80 10.89 9.40 9.42 9.75 10.07 9.58 10.73 10.09 9.96 10.18 9.11 10.96 9.73 10.81 10.57 10.49 10.87 10.06 10.62 9.39 a. You select a random sample of 5 (sequential selection is not allowed) and calculate the interval estimate of the mean weights population standard deviation as 0.6. (Please mention the data points of the sample that you have selected, if you fail to do so your submission will not be evaluated) b. You found out that the standard deviation of the population is incorrect. So now you should rely on the sample standard deviation. Find the new interval estimate of the mean weights of the bottles at 95% confidence considering of the bottles at 95% confidence considering the same sample as you chose in (a).

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
Question
1. As quality manager of a firm producing mineral water, you are
concerned with the amount of water in the bottle which is measured
by its weight. The following data represents the weights of 150 bottles
that you supplied in your city.
9.17
9.25
9.70
9.58
9.34
9.97
10.36
10.24
9.29
10.74
10.28
10.14
10.77
10.85
10.64
10.31
10.73
9.26
9.24
10.64
10.47
10.59
10.49
9.80
10.76
10.48
9.43
9.78
9.39
10.18
10.43
9.61
10.53
9.68
10.28
10.96
10.89
10.21
10.35
10.23
9.92
10.88
9.44
10.56
10.84
9.44
9.91
10.36
10.60
10.23
10.15
10.91
10.63
9.31
9.53
9.31
9.86
9.25
9.64
10.60
10.67
10.78
10.27
9.23
9.57
10.41
9.37
10.89
9.26
9.70
10.44
9.37
10.44
9.77
10.70
10.02
9.76
9.34
10.63
9.82
9.45
10.90
10.02
9.74
10.97
10.72
10.61
9.08
9.50
10.45
9.19
9.46
9.75
10.53
9.09
9.10
9.78
9.27
9.19
10.67
9.29
10.76
9.36
9.87
10.13
10.52
10.63
10.18
9.81
10.87
9.26
9.48
9.58
9.67
10.23
9.96
10.08
10.33
10.49
9.45
9.60
9.43
10.59
9.81
10.83
10.07
9.77
9.10
9.15
9.01
10.13
9.45
9.92
10.13
9.70
10.19
10.08
9.77
10.67
10.80
10.89
9.40
9.42
9.75
10.07
9.58
10.73
10.09
9.96
10.18
9.11
10.96
9.73
10.81
10.57
10.49
10.87
10.06
10.62
9.39
a. You select a random sample of 5 (sequential selection is not
allowed) and calculate the interval estimate of the mean
weights of the bottles at 95% confidence considering
population standard deviation as 0.6. (Please mention the data
points of the sample that you have selected, if you fail to do so
your submission will not be evaluated)
b. You found out that the standard deviation of the population is
incorrect. So now you should rely on the sample standard
deviation. Find the new interval estimate of the mean weights
of the bottles at 95% confidence considering the same sample
as you chose in (a).
Transcribed Image Text:1. As quality manager of a firm producing mineral water, you are concerned with the amount of water in the bottle which is measured by its weight. The following data represents the weights of 150 bottles that you supplied in your city. 9.17 9.25 9.70 9.58 9.34 9.97 10.36 10.24 9.29 10.74 10.28 10.14 10.77 10.85 10.64 10.31 10.73 9.26 9.24 10.64 10.47 10.59 10.49 9.80 10.76 10.48 9.43 9.78 9.39 10.18 10.43 9.61 10.53 9.68 10.28 10.96 10.89 10.21 10.35 10.23 9.92 10.88 9.44 10.56 10.84 9.44 9.91 10.36 10.60 10.23 10.15 10.91 10.63 9.31 9.53 9.31 9.86 9.25 9.64 10.60 10.67 10.78 10.27 9.23 9.57 10.41 9.37 10.89 9.26 9.70 10.44 9.37 10.44 9.77 10.70 10.02 9.76 9.34 10.63 9.82 9.45 10.90 10.02 9.74 10.97 10.72 10.61 9.08 9.50 10.45 9.19 9.46 9.75 10.53 9.09 9.10 9.78 9.27 9.19 10.67 9.29 10.76 9.36 9.87 10.13 10.52 10.63 10.18 9.81 10.87 9.26 9.48 9.58 9.67 10.23 9.96 10.08 10.33 10.49 9.45 9.60 9.43 10.59 9.81 10.83 10.07 9.77 9.10 9.15 9.01 10.13 9.45 9.92 10.13 9.70 10.19 10.08 9.77 10.67 10.80 10.89 9.40 9.42 9.75 10.07 9.58 10.73 10.09 9.96 10.18 9.11 10.96 9.73 10.81 10.57 10.49 10.87 10.06 10.62 9.39 a. You select a random sample of 5 (sequential selection is not allowed) and calculate the interval estimate of the mean weights of the bottles at 95% confidence considering population standard deviation as 0.6. (Please mention the data points of the sample that you have selected, if you fail to do so your submission will not be evaluated) b. You found out that the standard deviation of the population is incorrect. So now you should rely on the sample standard deviation. Find the new interval estimate of the mean weights of the bottles at 95% confidence considering the same sample as you chose in (a).
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Continuous Probability Distribution
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.
Similar questions
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