Question
The inside diameter of certain type piston ring follows normal distribution with mean 9.3 cm, and...
The inside diameter of certain type piston ring follows normal distribution with mean 9.3 cm, and standard deviation 0.06 cm. A sample of size 12 is selected from these pistons, and suppose [(x)] denotes the sample mean.
1. What is the expected value of [(x)]? Answer to 1 decimal place.
2. What is the standard deviation of [(x)]? Answer to 3 decimal places.
3. What is the probability that the sample mean [(x)] will exceed 9.312 cm? Answer to 4 decimal places.
Homework Answers
Answer #1
Solution:-
Given
,
n = 12
The expected value of 
The standard deviation of 
is 
= 0.0173
The probability that the sample mean
will exceeds 9.312
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