Question: You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18,

You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that b₁ = + 4.5 and Sb₁ = 1.5.

a. What is the value of t_STAT?

b. At the a = 0.05 level of significance, what are the critical values?

c. Based on your answers to (a) and (b), what statistical decision should you make?

d. Construct a 95% confidence interval estimate of the population slope, β₁.

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