A 205 bearing is installed at the left hand side of the incl

A 205 bearing is installed at the left hand side of the inclinced shaft depicted below. The lengths are 2 and 4 feet, the flywheel shown weights 1.000 Ibf, and the angle of inclincation is 15 degree. The shaft rotates at 1,800 RPM, and there is light shock loading in the system. What is the expected life in hours?

Solution

II)
Set Up Hypothesis
Null Hypothesis H0: U=200
Alternate Hypothesis H1: U!=200
Test Statistic
Population Mean(U)=200
Sample X(Mean)=206.73
Standard Deviation(S.D)=6.35
Number (n)=40
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =206.73-200/(6.35/Sqrt(39))
to =6.703
| to | =6.703
Critical Value
The Value of |t | with n-1 = 39 d.f is 2.023
We got |to| =6.703 & | t | =2.023
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Two Tailed ( double the one tail ) -Ha : ( P != 6.703 ) = 0
Hence Value of P0.05 > 0,Here we Reject Ho