Question

IQ scores are normally distributed and you know the mean and standard deviation of these scores. Mensa is organization for people with very high levels of intelligence. Mensa accepts as members anyone whose IQ score falls in the top 2% of all people. Your IQ score is 130 and you want to do an analysis to find out if you are eligible. You would need to do a _____ analysis. (Choose 1)

_____ a. z-score and the normal curve

_____ b. simple correlation
_____ c. bivariate regression
_____ d. multiple regression

_____ e. oneway ANOVA
_____ f. test of independence chi-square (two variable chi-square)

_____ g. independent sample t-test
_____ h related (dependent) sample t-test

Answer 1

Solution:

Given: IQ scores are normally distributed and you know the mean and standard deviation of these scores.

Mensa accepts as members anyone whose IQ score falls in the top 2% of all people.

Your IQ score is 130 and you want to do an analysis to find out if you are eligible.

To find out if you are eligible, we need to find z score for top 2% area by using standard normal distribution.

then find z score for your IQ score of 130.

Then compare z score of your IQ score with z score obtained for top 2% scores.

If z score of your IQ score is more than or equal to z score obtained for top 2% scores, then you are eligible for Mensa, otherwise not eligible.

Thus correct answer is:

a. z-score and the normal curve