Reference no: EM131554911

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 = 9.3 + 0.79x. The standard error of b₁ was 0.42.

(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.