Question

An article in the Journal of Engineering Tribology discusses several experiments involving various lubricants. In one experiment, 45 steel balls lubricated with purified paraffin were subjected to a 40 kg load at 600 rpm for 60 minutes. The average wear, measured by the reduction in diameter, was 673.2 , and the standard deviation was 14.9. Assume that the specification for the lubricant is that the mean wear must be less than 675.

Required:
Find the P-value.

Answer 1

the P value is 45.22%

Explanation:

The computation of the P value is as follows;

Given that

standard deviation = 14.9

mean = 675

Reduction in diameter= 673.2

Based on the above information,

We have to applied the following formula i.e.

`Z = (x - \bar x)/(\sigma) \\\\= (673.2 - 675)/(14.9)\\\\= -0.1208`

Now the P value for -0.1208 is 0.4522 i.e. 45.22%

Hence, the P value is 45.22%

The same is to be considered