Hi,

finding p-value after determining the correct z-value (or visa-versa)can be done:

I. using a chart

II. TI calculator

III.  Excel function 

a) z = 3  ⇒  p = .999   Or  99.9% ≤ 13.3oz 

What proportion of the packages will contain more than 13.3 oz of cereal?

 1- .999 = .001   Or 1%

Calculate the 85th percentile and interpret the result. 

IF  P = .85 ⇒ z = 1.04

 1.04 = (x - 13)/.1

  .104 + 13 = x

 13.104 = x, the 85th percentile



Important to Understand z -values as they relate to the Standard Normal curve:

Below:  z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.  

Note: z = 0 , 50% of the area under the curve is to the left and 50%  to the right



 

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