pH in Rainfall Refer to the Exercise. Suppose 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...

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pH in Rainfall
Refer to the Exercise. Suppose 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) would have to be included in each sample? (Assume that the variance of the pH measurements is approximately .25 at both locations and that the samples will be of equal size.)



Exercise:



Polluted Rain
Suppose you wish to estimate the mean pH of rainfalls in an area that suffers heavy pollution due to the discharge of smoke from a power plant. You know that s is in the neighborhood of .5 pH, and you wish your estimate to lie within .1 of m, with a 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.



Answered Same DayDec 24, 2021

Answer To: pH in Rainfall Refer to the Exercise. Suppose you wish to estimate the difference between the mean...

David answered on Dec 24 2021
132 Votes
 
  
2
2
2 0.025
1 100% CI for is
We want
0.05 1.96
0.5
0.02
1.96 0.5
0.02

A
Y z
n
z B
n
where
z z
B
Thus
n



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   



  
  
2
1.96 0.5
...
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