Question

This Question: 1 pt UML JU Tules - Taken 31 of 36 (0 complete The Remag 01:14:12 This Test: 3 Intelligence quotas on two different tests are normally distributed. Test A has a mean of 100 and a standard deviation of 18. Test Bhas a mean of 100 and a Mandard deviation of 16. Use zato person has the higher IQ: an individual who scores 128 on Test A or an individual who scores 122 on Test B. Which individual has the higher IQ? O A The individual who scores 128 on Test A. OB The individual who scores 122 on Test B. C. Both individuals have the same IQ ick to select your answer. 888 % 5 7

Answer 1

A ~ normal with mean 100 and std. 18 and B ~ normal with mean 100 and std. 16.

Now, p(A>128) = P((A-100)/18 >(128-100)/18)

= P(z>28/18) = P(z>1.56) = 0.059

And P(B>122) = P((B-100)/16 > (122-100)/16)

= P(z> 1.38) = 0.084

As probability of A greater than 128 is lower means 128 score in test A is tough than 122 in test B.

Hence, it has more iq

Hence, option a) is correct.