Assume that the helium porosity in percentage of coal samples taken from any particular seam is normally distributed with true

Question

Assume that the helium porosity in percentage of coal samples taken from any particular seam is normally distributed with true standard deviation 0 73 a Compute a 95 CI for the true average porosity of a certain seam if the average porosity for 24 specimens from the seam was 4 85 Round your answers to two decimal places b Compute a 98 CI for true average porosity of another seam based on 18 specimens with a sample average porosity of 4 56 Round your answers to two decimal places c How large a sample size is necessary if the width of the 95 interval is to be 0 3 Round your answer up to the nearest whole number specimens d What sample size is necessary to estimate true average porosity to within 0 24 with 99 confidence Round your answer up to the nearest whole number specimens

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