Question

Use the Normal model ​N(98​,15) for the IQs of sample participants. What IQ represents the 17th percentile? Use the appropriate Excel function to calculate your answer and round to one decimal place.

Answer 1

=NORM.INV(0.17,98,15)

Explanation:

Consider X represents the IQs of sample participants.

Then X follows the Normal Distribution with mean 98 and standard deviation 15.

That is,

`X \sim N(98,15)`

The probability value is 17th percentile (that is 0.17)

To find the value of X using Excel, the Inverse Normal Distribution is used.

The Excel function =NORM.INV(0.22,105,17) is used to find the IQs of sample participants.