Assume that the helium porosity (in percentage) of coal samplestaken from any particular

Chapter 7, Problem 5

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Assume that the helium porosity (in percentage) of coal samplestaken from any particular seam is normally distributedwith true standard deviation .75.a. Compute a 95% CI for the true average porosity of a certainseam if the average porosity for 20 specimens fromthe seam was 4.85.b. Compute a 98% CI for true average porosity of anotherseam based on 16 specimens with a sample average porosityof 4.56.c. How large a sample size is necessary if the width of the95% interval is to be .40?d. What sample size is necessary to estimate true averageporosity to within .2 with 99% confidence?

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