If a set of sample measurements has a mean of 100, a normal distribution, a standard deviation of 2, and control limits of 94 an
d 106, what percentage of the samples are expected to be between 94 and 106? Explain your answer.
1 answer:
Answer: 99.73%
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Let X be the random variable that represents the data values.
Formula for Z-score : 
For x=94, we have

For x=106, we have

The probability that the samples are between 94 and 106:-

Hence, the percent of the samples are expected to be between 94 and 106 = 99.73%
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