A. K. Shah published a simple approximation for areas under the normal curve in The American Statistician (Feb. 1985). Shah showed that the area A under the standard normal curve between 0 and z is

a. Use Shah€™s approximation to find
i. P(0 ii. P(0 iii. P(z > .8)
iv. P(z b. Find the exact probabilities in part.
c. Shah showed that the approximation has a maximum absolute error of .0052. Verify this for the approximations in part a.

Transcribed Image Text:

(4.4-z)/10 for 0S(-2.2 for 2.2z2.6 for z 2.6 .50