120 hardness measurements are made on a large slab of steel with an average of Rockwell C value of 39 and a standard deviation o
f 4.0. What percent of measurements should fall between 35 and 45?
1 answer:
Answer: 77.45 %
Step-by-step explanation:
We assume that the measurements are normally distributed.
Given : Mean :
Standard deviation :
Let x be the randomly selected measurement.
Now we calculate z score for the normal distribution as :-
For x = 35, we have
For x = 45, we have
Now, the p-value =
In percent ,
Hence, the percent of measurements should fall between 35 and 45 = 77.45 %
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