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? Can the null hypothesis be rejected? A. Yes, because the test statistic falls in the critical region. B. No, because the test statistic falls in the critical region. C. No, because the test statistic does not fall in the critical region. D. Yes, because the test statistic does not fall in the critical region. The suggests that it that the scores are the same after retesting

Explanation / Answer

Paired T-Test and CI: First, Second

Descriptive Statistics

Estimation for Paired Difference

µ_difference: mean of (First - Second)

Test

since TS = -1.67

critical value = 2.365

since |TS| < critical value ,

we fail to reject the null

option C) is correct

there is no significant evidence that the scores differ after taking retest.

Sample N Mean StDev SE Mean First 8 555.0 75.0 26.5 Second 8 575.0 76.3 27.0

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