Kuya conducted a study to investigate if children improve in their Verbal IQ wit

Question

Kuya conducted a study to investigate if children improve in their Verbal IQ within a period of about seven years, when they were at age 6 and when they turned 13. The test scores range from 1 to 30.

The appropriate test for this problem is:

The obtained statistic is:

The associated p value is:

Decision is:

Conclusion is:

VERBAL IQ Age 6 Age 13 20 17 22 21 10 20 17 21 21 18 17 23 13 16 26 18 14 16 17 21 14 20 20 21 14 16 21 21 10 16 22 18 26 22 17 23 16 21 20 15 14 21 21 19 22 22 12 18 20 15 14 20 20 18 20 21 20 21 10 22 17 18 10 22 16 21 11 15 16 15 13 19

Explanation / Answer

Solution:

Here we will use t test for dependent samples. because both samples are same only age difference is there. so both samples are dependent on each other and we will use t test for dependent samples.

Now we will calculate Difference b/w each samples

Dbar = 2.166667

SD = 4.819603

n= 37

test statistic = Dbar/SD/sqrt(n)

test statistic = 2.166667/4.819603/sqrt(37)

test statistic = 2.734 or 2.7

so test statistic answer is D. i.e. 2.7

associated values is

here degree of freedom = 37-1 =36

and it is a two tailed test

so p-value is 0.01

and at alpha = 0.05 or 95% confidence interval

we will reject the null hypothesis so its answer is A.

If we are rejecting the null hypothesis which means that verbal IQ scores is not remain about the same. so its answer is D. i.e. no conclusion can be drawn.

Age6 Age13 D 20 17 -3 22 21 -1 10 20 10 17 21 4 21 18 -3 17 23 6 13 16 3 26 18 -8 14 16 2 17 21 4 14 20 6 20 21 1 14 16 2 21 21 0 10 16 6 22 18 -4 26 22 -4 17 23 6 16 21 5 20 15 -5 14 21 7 21 19 -2 22 22 0 12 18 6 20 15 -5 14 20 6 20 18 -2 20 21 1 20 21 1 10 22 12 17 18 1 10 22 12 16 21 5 11 15 4 16 15 -1 13 19 6

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