Question
Example Normal Distribution Problem: Scores on a management aptitude examination are believed to be normally distributed with mean 650 (out of a total of 800
Example Normal Distribution Problem: Scores on a management aptitude examination are believed to be normally distributed with mean 650 (out of a total of 800 possible points) and standard deviation 50. What is the probability that a randomly chosen manager will achieve a score above 700? What is the probability that the score will be below 750?
I used the following formula to obtain the find the area between 0 and 750 or our table area (TA):
P(X<750) = Z = (X-mean)/std. deviation = (750-650)/50 = 2
Using Appendix D on pg. 720 of our Lind text it shows z = .4772
(TA) + (Remainder of the area) = P(X<750)
.4772 + .5= .9772ans.
P(X<700)=Z=(X-mean)/std. deviation=(700-650)/50=1
Using Appendix D on pg. 720 of our Lind text it shows z = .3413
(TA) + (Remainder of the area) = P(X<700)
.3413 + .5= .8413
P(X>700) = 1 - .8413 = .1587ans.
please try this problem in Excel and see if you get the same results.
Can I please get help in excel to solve this problem? Also an explanation on how to do it. Thank you.
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