(41(8) On a recent English test, students were given the names of four authors a

Question

(41(8) On a recent English test, students were given the names of four authors and four match each novel with the correct author novels, and asked to (a) If a student just guesses randomly, what is the probability of getting only three correct? (b) If a student just guesses randomly, what is the probability of getting only two correet? 151(4) A student took two national aptitude tests in the course of applying for admission to colleges. The national average and standard deviation for the first test were 475 and 100, respectively, where as for the econd test the average and standard deviation were 30 and 8, respectively. The student scored 625 on he first test and 45 on the second. Using statistical tool, determine on which exam the student performed etter

Explanation / Answer

5.

1st test:

Mean , Average = 475
Stdev = 100

2nd test:

Mean, Average = 30
Stdev = 8

1st test score and 2nd test score are 625 and 45 respectively. Lets standardize ( bring the both distributions to the same scale)
i.e. the Normalize the 2 distributions by doing the following:

Z for 1st test = X-Mu / Sigma = (625-475)/100 = 1.25

Z for 2nd test = X-Mu / Sigma = (45-30)/8 = 1.875

We can see he has outscored in the 2nd test as Z for 2nd test > Z for 1st test

So, he has done better in the 2nd test compa

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