Suppose that you wish to estimate the difference between mean pH measurements of rainfalls in two different locations, one in relatively unpolluted area and the other in an area subject to heavy air pollution. You want to be 95 % confident that the margin of error for the difference between mean pH of rainfalls in relatively unpolluted area and mean pH of rainfalls in an area subject to heavy air pollution will not exceed 0.1 pH. How many rainfalls (pH measurements) must be included in each sample? Assume that the variance of pH measurements in a relatively unpolluted area is equal to 2 o = 20, and the variance of pH measurements in an area subject to heavy pollution is equal to 2 ₁ = 0.25, and samples will be of equal size (n₁ = n₂ = n). It is supposed that values of pH in rainfalls are normally distributed in polluted and unpolluted areas. The number of rainfalls (pH measurements) that must be included in each sample is
Suppose that you wish to estimate the difference between mean pH measurements of rainfalls in two different locations, one in relatively unpolluted area and the other in an area subject to heavy air pollution. You want to be 95 % confident that the margin of error for the difference between mean pH of rainfalls in relatively unpolluted area and mean pH of rainfalls in an area subject to heavy air pollution will not exceed 0.1 pH. How many rainfalls (pH measurements) must be included in each sample? Assume that the variance of pH measurements in a relatively unpolluted area is equal to 2 o = 20, and the variance of pH measurements in an area subject to heavy pollution is equal to 2 ₁ = 0.25, and samples will be of equal size (n₁ = n₂ = n). It is supposed that values of pH in rainfalls are normally distributed in polluted and unpolluted areas. The number of rainfalls (pH measurements) that must be included in each sample is
A First Course in Probability (10th Edition)
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Transcribed Image Text:Suppose that you wish to estimate the difference between mean pH measurements of rainfalls
in two different locations, one in relatively unpolluted area and the other in an area subject to
heavy air pollution.
You want to be 95% confident that the margin of error for the difference between mean pH of
rainfalls in relatively unpolluted area and mean pH of rainfalls in an area subject to heavy air
pollution will not exceed 0.1 pH.
How many rainfalls (pH measurements) must be included in each sample?
Assume that the variance of pH measurements in a relatively unpolluted area is equal to
2
=
20, and the variance of pH measurements in an area subject to heavy pollution is equal to
2
= 0.25, and samples will be of equal size (n = n₂ = n).
2
It is supposed that values of pH in rainfalls are normally distributed in polluted and unpolluted areas.
The number of rainfalls (pH measurements) that must be included in each sample is
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