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 ŷ = 9.4 + 0.78x. The standard error of b₁ was 0.44.

(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 =
df =
P =

Conclusion

A. We reject H₀ at the 5% significance level.

B. We do not reject H₀ 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

A. We could reject H₀ at the 5% significance level.

B. We could not reject H₀ at the 5% significance level.   

Answer 1