Question

The inside diameter of a randomly selected piston ring is a normally distributed random variable with mean 12 cm and standard deviation 0.04 cm. (a) What is the diameter that is exceeded by only 5% of the piston rings

Answer 1

Answer:

$x=12.07$

Step-by-step explanation:

From the question we are told that:

Mean $\=x =12cm$

Standard deviation $\sigma=0.04$

Significance level $\alpha=5\%=0.05$

Therefore

Confidence level $95\%=0.95$

From table $P(z$

Generally the equation for Z-score is mathematically given by

$z=\frac{x-\mu}{\sigma}$

$x=z\sigma+\mu$

$x=1.645*0.04+12$

$x=12.07$