pH measurements of a chemical solutions have mean 6.8 with standard deviation 0.02. Assuming all pH measurements of this solutio n have a nearly symmetric/bell-curve distribution. Find the percent (%) of pH measurements reading below 6.74 OR above 6.76.
1 answer:
Answer: 2.14 %
Step-by-step explanation:
Given : pH measurements of a chemical solutions have
Mean :
Standard deviation :
Let X be the pH reading of a randomly selected customer chemical solution.
We assume pH measurements of this solution have a nearly symmetric/bell-curve distribution (i.e. normal distribution).
The z-score for the normal distribution is given by :-
For x = 6.74
For x = 6.76
The p-value =
In percent,
Hence, the percent of pH measurements reading below 6.74 OR above 6.76 = 2.14%
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