Can a pretest on mathematics skills predict success in a statistics course? The

Question

Can a pretest on mathematics skills predict success in a statistics course? The 82 students in an introductory statistics class took a pretest at the beginning of the semester. The least-squares regression line for predicting the score y on the final exam from the pretest score x was y = 9.9 + 0.76x. The standard error of b_1 was 0.41. (a) Test the null hypothesis that there is no linear relationship between the pretest score and the score on the final exam against the two-sided alternative. (Round your test statistic to three decimal places and your P-value to four decimal places.) t = p = We reject H_0 at the 5% significance level. We do not reject H_0 at the 5% significance level. (b) Would you reject this null hypothesis versus the one-sided alternative that the slope is positive? Explain your answer. P = Conclusion We could reject H0 at the 5% significance level. We could not reject H0 at the 5% significance level.

Explanation / Answer

a) t = 0.76 / 0.41 = 1.854

df = n - 2 = 82 - 2 = 80

P = 0.0674

We do not rejecr Ho at the 5% significance level.

Option B is correct.

b) One tailed p - value = 0.0337

Yes, we could reject Ho at 5% significance level.

Option A is correct.

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