pollution will not exceed 0.2 pH. How many rainfalls (pH measurements) must be included in each sample?
pollution will not exceed 0.2 pH. How many rainfalls (pH measurements) must be included in each sample?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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SOlve question 7.
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 99 % 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 0.2 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
0.20, and the variance of pH measurements in an area subject to heavy pollution is equal
2
to σ = 0.30, and samples are of equal size (n₁ = n₂ = n).
2
It is supposed that values of pH in rainfalls are normally distributed in polluted and unpolluted areas.
Show your work in finding the answer to the question in the problem.
1
=
The number of rainfalls (pH measurements) that must be included in each sample is
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