Use the given set of points to construct a $95 \%$ confidence interval for the mean response for the given value of $x$.

A) (57.40, 63.18)
B) (56.52, 64.05)
C) (58.77, 61.81)
D) (58.31, 62.26)

Question

Use the given set of points to construct a $95 \%$ confidence interval for the mean response for the given value of $x$.

A) (57.40, 63.18) 
B) (56.52, 64.05) 
C) (58.77, 61.81) 
D) (58.31, 62.26)

Quizplus · Accepted Answer

Based on the given set of points, we can calculate the sample mean and standard error for the response variable at the given value of x, and use the t-distribution with n-2 degrees of freedom to find the confidence interval. Using this method, we get a 95% confidence interval of (58.31, 62.26), which is option D.

Use the Given Set of Points to Construct A 95%95 \%95%

Use the Given Set of Points to Construct A $95 \%$