A control group of 8 students were given the same test twice to see whether reta

Question

A control group of 8 students were given the same test twice to see whether retaking the test affected the score. Below are their scores on their first and second attempts. Test the claim that the differences have a mean of zero using a 0.05 significance level. What do the results suggest? 2 4 6 7 First 630 470 520 480 640 600 490 600 Second 630 510 500 520 700 570 560 57 Can the null hypothesis be rejected? ( A. Yes, because the test statistic does not fall in the critical region. O B. No, because the test statistic falls in the critical region. C. Yes, because the test statistic falls in the critical region. No, because the test statistic does not fall in the critical region. D. This suggests that it that the scores are the same after retesting. appears likely appears unlikely

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between First and Second
H0 : D = 0
HA : D 0
Hypothesis test results:

Hence,

Do not reject Ho; Option D is correcct.

appears likely

Difference Mean Std. Err. DF T-Stat P-value First - Second -16.25 14.50831 7 -1.1200477 0.2996

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