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Statistics and Probability

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Calculate Confidence Interval

STATS-WA4LRJ

You are testing the null hypothesis that there is no linear relationship between two variables, $X$ and $Y$. From your sample of 32, you determine $b_1$ = 4.5 and the standard error for $b_1$ = .75

Construct a 95% confidence interval estimate of the population slope, $\beta_{1}$

A

2.97 $\geq$ $\beta_1$ $\geq$ 6.03

B

2.97 $\leq$ $\beta_1$ $\leq$ 6.03

C

2.24 $\geq$ $\beta_1$ $\geq$ 6.76

D

2.24 $\leq$ $\beta_1$ $\leq$ 6.76