Age x and resting heart rate y were sampled for 25 randomly selected children from age 2 to 9. Summary information is: n = 25, Σx = 140.5, Σx2 = 903.75, Σy = 2567, Σy2 = 264, 457, Σxy = 14, 171.5 (a)...

Age x and resting heart rate y were sampled for 25 randomly selected children from age 2 to 9. Summary information is:

n = 25, Σx = 140.5, Σx2 = 903.75, Σy = 2567, Σy2 = 264, 457, Σxy = 14, 171.5

(a) Compute a 95% confidence interval for the average resting heart rate of 3 six year old children.