Refer to Exercise 8.74. Suppose that you wish to estimate
Chapter 8, Problem 75E(choose chapter or problem)
Problem 75E
Refer to Exercise 8.74. Suppose that you wish to estimate the difference between the mean acidity for rainfalls at two different locations, one in a relatively unpolluted area along the ocean and the other in an area subject to heavy air pollution. If you wish your estimate to be correct to the nearest .1 pH with probability near .90, approximately how many rainfalls (pH values) must you include in each sample? (Assume that the variance of the pH measurements is approximately .25 at both locations and that the samples are to be of equal size.)
Reference
Suppose that you want to estimate the mean pH of rainfalls in an area that suffers from heavy pollution due to the discharge of smoke from a power plant. Assume that σ is in the neighborhood of .5 pH and that you want your estimate to lie within .1 of μ with probability near .95. Approximately how many rainfalls must be included in your sample (one pH reading per rainfall)? Would it be valid to select all of your water specimens from a single rainfall? Explain.
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