Problem 5 Barzman Inc., which produces water, wants to analyze the mnineral contents (gm) in the bot liter water they produce. Especially, they are interested in identifying the magnesium cc which is one of the most important minerals in the water. The quality control engineer production unit randomly selected 7 bottles and then measured the mineral contents in the sa The results from the sample show that the average mineral contents in the water is 12. Assuming that the mineral content in the water bottle is normally distributed and pop standard deviation is equal to 0.51 gm:

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
Topic Video
Question
Problem 5
Barzman Inc., which produces water, wants to analyze the mineral contents (gm) in the bottle of 1
liter water they produce. Especially, they are interested in identifying the magnesium contents,
which is one of the most important minerals in the water. The quality control engineer at their
production unit randomly selected 7 bottles and then measured the mineral contents in the samples.
The results from the sample show that the average mineral contents in the water is 1238 gm.
Assuming that the mineral content in the water bottle is normally distributed and population
standard deviation is equal to 0.51 gm:
a Identify the bounds at 94 % confidence interval (CI)?
b. Suppose that the company wants the error in estimating the magnesium content is less than
0.20, what sample size should the company use in part (a) for the analysis?
C. If only one sided confidence bound is desired by the company at the lower tail, then what will
be the lower bound for the date in (a). Discuss the difference in the lower bound as compared
to (a) and give reason for the difference using simple figure(s).
Transcribed Image Text:Problem 5 Barzman Inc., which produces water, wants to analyze the mineral contents (gm) in the bottle of 1 liter water they produce. Especially, they are interested in identifying the magnesium contents, which is one of the most important minerals in the water. The quality control engineer at their production unit randomly selected 7 bottles and then measured the mineral contents in the samples. The results from the sample show that the average mineral contents in the water is 1238 gm. Assuming that the mineral content in the water bottle is normally distributed and population standard deviation is equal to 0.51 gm: a Identify the bounds at 94 % confidence interval (CI)? b. Suppose that the company wants the error in estimating the magnesium content is less than 0.20, what sample size should the company use in part (a) for the analysis? C. If only one sided confidence bound is desired by the company at the lower tail, then what will be the lower bound for the date in (a). Discuss the difference in the lower bound as compared to (a) and give reason for the difference using simple figure(s).
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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