Question

In: Statistics and Probability

I am going to study gender differences and scores on the spelling test. Ind variable: Gender...

I am going to study gender differences and scores on the spelling test. Ind variable: Gender (Male or female) Dep variable: spelling test score Null: There is no difference between males and females on the spelling test. Directional: Boys will score higher than girls on the spelling test. Now, create a study.

Solutions

Expert Solution

Creating study-

At first we perform a study taking spelling test of 15 students of our class. Our of 20 the scores are as follows.

Boy 1 2 3 4 5 6 7 8 9
Score 18 17 19 12 17 19 18 16 15
Girl 1 2 3 4 5 6
Score 12 20 15 13 12 14

Hypothesis test-

Suppose, random variables X and Y denote scores on the spelling test of males and females respectively.

We have to test for null hypothesis

against the alternative hypothesis

Our test statistics is given by

Here,

First sample size

Second sample size

Degrees of freedom

[Using R-code '1-pt(1.815008,13)']

We reject our null hypothesis if , level of significance.

We generally test for level of significance 0.10, 0.05 or something like these.

So, we can reject our null hypothesis.

Hence, based on the given data we can conclude that boys score significantly higher than girls on the spelling test.


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