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:

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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 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).
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