Question

A.) A certain intelligence test has scores that are normally distributed with a mean of 100 and a standard deviation of 10. An individual takes the test and converts his score to a Z-score which he calculates to be 1.5. This corresponds to an actual test score of?

B.) Boiling point measurements for a liquid under fluctuating pressure conditions is normally distributed with

mean 98 degrees and standard deviation 0.5. The probability that a boiling point measurement exceeds 99 degrees is

Answer 1

a).

we know that,

according to the problem,

This corresponds to an actual test score of 115

b).X :Boiling point measurements for a liquid

X ~ N (98,0.5)

The probability that a boiling point measurement exceeds 99 degrees is :-

[ using standard normal table ]

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