The Summary Statistics for a Certain Set of Points Are $n = 10 , s _ { \mathrm { e } } = 3.857 , \sum ( x - \bar { x } ) ^ { 2 } = 13.030$

Multiple Choice

The summary statistics for a certain set of points are: $n = 10 , s _ { \mathrm { e } } = 3.857 , \sum ( x - \bar { x } ) ^ { 2 } = 13.030$ , and $b _ { 1 } = 1.747$ . Assume the conditions of the linear model hold. A $99 \%$ confidence interval for $\beta _ { 1 }$ will be constructed. What is the critical value?

A) 3.250
B) 2.821
C) 3.355
D) 2.896