Problem 4: (Use R to complete this) A critical dimension on a pressure fitting i

Question

Problem 4: (Use R to complete this) A critical dimension on a pressure fitting is intended to have a normal distribution with average of 0.500in. If the parts run larger, they can become difficult or impossible to assemble. If the parts run smaller, there is a chance that they will leak. A random sample of 18 parts was drawn from a large lot and inspected. The observations were: 0.497, 0.494, 0.496, 0.499, 0.499, 0.499, 0.497, 0.491, 0.497, 0.495, 0.501, 0.504, 0.501, 0.492, 0.497, 0.500, 0.498, 0.498 (Provide your R code without output below the answer for part b)

Explanation / Answer

Formula for Z Score:
z = n(x - x0)/
Where:
n: Sample number
x: Population mean
x0: Hyposized population mean
: Standard Deviation

Calculate the Z Score:

Calculate P value:

Since p < 0.05, we reject the hypothesis.

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