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A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability. for the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. for the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. which is this persons stronger ability: verbal or quantitative? explain your answer to a person who has never had a course in statistics.

Question

A person scores 81 on a test of verbal ability and 6.4 on a test of quantitative ability. for the verbal ability test, the mean for people in general is 50 and the standard deviation is 20. for the quantitative ability test, the mean for people in general is 0 and the standard deviation is 5. which is this persons stronger ability: verbal or quantitative? explain your answer to a person who has never had a course in statistics. 

check_circleAnswer
Step 1

Consider X is a random variable defined as the score of the verbal ability test of a person.

Consider Q is a random variable defined as the score of quantitative ability test of a person.

The provided information is:

For the verbal ability test:
Mean (450
Standard deviation (o) 20
For quantitative ability test:
Mean()0
Standard deviation (o,) =5
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For the verbal ability test: Mean (450 Standard deviation (o) 20 For quantitative ability test: Mean()0 Standard deviation (o,) =5

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Step 2

The test statistics for verbal ability can be calculated as:

X-4
81 -50
20
1.55
=
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X-4 81 -50 20 1.55 =

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Step 3

The test statistics for quantitative ...

Z
2
6.4 0
5
= 1.28
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Z 2 6.4 0 5 = 1.28

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