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Normal Probability: Reaction time of female candidates

In a standard test for reaction time, female candidates for flight school are found to have times that are normally distributed with a mean of 0.65 seconds and a standard deviation of 0.15 seconds.

If one candidate is randomly selected, find the probability that her reaction time is below the maximum allowable time of 1.00seconds.

-if it is greater than .80 seconds.
-if it is between .50 and .60 seconds.
-if it is between .60 and .90 seconds.
-If 25 candidates are randomly selected, find the probability that their mean reaction time is less than .70 seconds
-if its a 100 candidates and they are randomly selected, find the probability that their mean reation time is less than .70 seconds.
-find P85 the reaction time separating the shortest 85% from the longest 15%
-Find P15 the reaction time separating the shortest 15% from the longest 85%.
-If you are a candidate, would you prefer the score of P85 or P15? Why?

Solution Summary

The solution provides step by step method for the calculation of Z score and probability. Formula for the calculation and Interpretations of the results are also included.

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