Question

A support used in an automotive application is supposed to have a nominal internal diameter of
1.5 inches. A random sample of 25 supports is selected and the nominal internal diameter of
These brackets is 1.4975 inches. The diameters of the supports are known to be normally
distributed with a standard deviation of σ = 0.01 inches.
a) Test the hypothesis Ho: μ = 1.5 versus H1 ≠ 1.5 using α 0.01.
b) What is the p-value for the test of part a?
c) Compute the power for the test if the true average diameter is 1495.
d) What sample size is required to detect a true average diameter as low
like 1,495 inches if we want the power of the test to be 0.9?

Answer 1

find -the 2-vue as folloos ぐ Scned with CamScanner o- O

1.4975-15 o-o) o-ol 2-(-25 Це.the. Signrficane levd lcuel. Sided 5-10 56 -O.ODケ. Scanned with CamScanner

2.sg т o.co5 5-1 o S319 zc is cleukdfoliows TeluiredSample S 159.9 Cs Scanned with CamScanner