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# Answer: Assume that the helium porosity (in percentage) of ISBN: 9780495382171 196

## Solution for problem 7.5 Chapter 7

Probability and Statistics for Engineering and the Sciences (with Student Suite Online) | 7th Edition

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Problem 7.5

Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation .75. a. Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85. b. Compute a 98% CI for true average porosity of another seam based on 16 specimens with a sample average porosity of 4.56. c. How large a sample size is necessary if the width of the 95% interval is to be .40? d. What sample size is necessary to estimate true average porosity to within .2 with 99% confidence?

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STATS​ ​241 Week​ ​6 Chapter​ 6 ​ ⇒Continuous​ ​random​ ​variables-​ ​take​ ​up​ ​an​ ​infinite​ ​amount​ ​of​ ​space​ ​in​ ​an​ ​interval​ ​on​ ​the​ ​real number​ l ​ ine ⇒Normal​ ​distribution-​ ​used​ ​mostly​ ​with​ ​continuous​ ​probability​ ​distribution ⇒Continuous​ ​probability​ d ​ istribution: ★ The​ ​probability​ ​that​ ​a​ ​random​ ​variable​ ​is​ ​between​ ​two​ ​values ★ Given​ ​by​ ​the​ ​area​ ​under​ ​the​ ​graph​ ​of​ ​probability​ ​distribution​ ​between​ ​the​ ​two​ ​values ★ The​ ​probability​ ​that​ ​a​ ​continuous​ ​random​ ​variable​ ​is​ ​exactly​ ​a​ ​specific​ ​number​ ​is​ ​zero ★ Total​ ​pr

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##### ISBN: 9780495382171

Since the solution to 7.5 from 7 chapter was answered, more than 258 students have viewed the full step-by-step answer. The answer to “Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation .75. a. Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 20 specimens from the seam was 4.85. b. Compute a 98% CI for true average porosity of another seam based on 16 specimens with a sample average porosity of 4.56. c. How large a sample size is necessary if the width of the 95% interval is to be .40? d. What sample size is necessary to estimate true average porosity to within .2 with 99% confidence?” is broken down into a number of easy to follow steps, and 108 words. Probability and Statistics for Engineering and the Sciences (with Student Suite Online) was written by and is associated to the ISBN: 9780495382171. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences (with Student Suite Online), edition: 7. The full step-by-step solution to problem: 7.5 from chapter: 7 was answered by , our top Statistics solution expert on 01/02/18, 08:17PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 23 chapters, and 1318 solutions.

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Answer: Assume that the helium porosity (in percentage) of