SOLUTION: Your process requires a fitting with a pitch diameter of 0.4 +/- 0.001 inch. You have been approached by ACME Fitting Co. to buy your fittings from them. Their fittings have diamet

Question 1002323: Your process requires a fitting with a pitch diameter of 0.4 +/- 0.001 inch. You have been approached by ACME Fitting Co. to buy your fittings from them. Their fittings have diameters which are normally distributed with a mean of .4008 and a standard deviation of .0004.
What proportion of their product is expected to be within your tolerances?
I don't really know where to start with this, so I need some help. Thank you.:)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Your process requires a fitting with a pitch diameter of 0.4 +/- 0.001 inch. You have been approached by ACME Fitting Co. to buy your fittings from them. Their fittings have diameters which are normally distributed with a mean of .4008 and a standard deviation of .0004.
What proportion of their product is expected to be within your tolerances?
-----
Sketch a normal curve with mean = 0.4008
----
Sketch the area under the curve between 0.3999 and 0.4001
----
Find the z-values:
z(0.3999) = (0.3999-0.4008)/0.0004 = -.025
z(0.4001) = (.4001-0.4008)/0.0004 = -1.75
----
P(0.3999 < x < 4.001) = P(-1.75< z < -0.025) = normalcdf(-1.75,-0.025) = 0.45
-----
Ans 45%
--------
Cheers,
Stan H.
RELATED QUESTIONS
In pipe fitting you use the set,run,and travel of the right triangle to solve missing... (answered by rothauserc)

Thank you for helping me! I need to make a scatter plot of the data and find the... (answered by ikleyn,math_tutor2020)

The figure shows four circular pipes, all with 12-inch diameters, that are strapped... (answered by ikleyn,Edwin McCravy,AnlytcPhil)

A regression equation gives the best fitting line for a set of data. What does best... (answered by Fombitz)

how do you draw a fitting line for a scatter plot on a graph? (answered by richwmiller)

I am having a problem fitting my factors into the quadratic equation. The question is as (answered by longjonsilver)

This is a question concerning least squares. I was asked to derive the math for fitting a (answered by stanbon)

When given a data set, a. How do we determine the type of model to use? (Linear,... (answered by josgarithmetic)

I really need help with part B When given a data set, a. How do we determine the... (answered by josgarithmetic)