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A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
12.38 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 96% confidence interval (CI)?
b. Suppose that the company wants the error in estimating the magnesium content is less than
0.30, 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 12.38 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 96% confidence interval (CI)? b. Suppose that the company wants the error in estimating the magnesium content is less than 0.30, 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).
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