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Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true population variance 0.36. (a) Compute a 95% two-sided CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85.  (b) How large a sample size is necessary if the width of the 95% two-sided CI is to be 0.5?  (c) Compute a 98% upper one-sided CI for true average porosity of another seam based on 16 specimens with a sample average porosity of 4.56. show major intermediate steps.

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true population variance 0.36. (a) Compute a 95% two-sided CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85.  (b) How large a sample size is necessary if the width of the 95% two-sided CI is to be 0.5?  (c) Compute a 98% upper one-sided CI for true average porosity of another seam based on 16 specimens with a sample average porosity of 4.56. show major intermediate steps.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Assume that the helium porosity (in percentage) of coal samples taken from any
particular seam is normally distributed with true population variance 0.36.
(a) Compute a 95% two-sided CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85. 
(b) How large a sample size is necessary if the width of the 95% two-sided CI is to be 0.5? 
(c) Compute a 98% upper one-sided CI for true average porosity of another seam based on 16 specimens with a sample average porosity of 4.56.
show major intermediate steps.

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