Question

1. The table below shows the mean and standard deviation for each subject.

	Mean	SD
Math	67	9.58
English	78	12.45

One student’s math score was 70, and the same individual’s English score was 84. On which exam was the student’s relative performance the best?

Answer 1

Math

This is a normal distribution question with

x = 70

P(x < 70.0)=?

The z-score at x = 70.0 is,

z = 0.3132

This implies that

P(x < 70.0) = P(z < 0.3132) = 0.6229

English

P(x < 84.0)=?

The z-score at x = 84.0 is,

z = 0.4819

This implies that

P(x < 84.0) = P(z < 0.4819) = 0.6851

Student is having best performance in English

PS: you have to refer the z score table to find the final probabilities.

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