Mathematics, 07.03.2020 00:24 Jasten
The pH measurements of water specimens from various locations along a given river basin are Normally distributed with mean 8 and standard deviation 0.3. You take water specimens from 4 randomly selected locations on this river basin.
1. What is the probability that the mean pH measurement of these 4 specimens is greater than 8.2?
A. 0.2546
B. 0.7454
C. 0.0918
D. 0.9082
Answers: 1
be the mean pH measurement of these 4 specimens, we know that this random variable is normally distributed with mean 8 and standard deviation 
, this because we have a sample size n = 4. We are looking for 
, the z-score related to 8.2 is (8.2-8)/0.15=1.3333, therefore, 
.
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