If X=70​, S=12​, and n=16​, and assuming that the population is normally​ distributed, construct a 90% confidence interval estimate of the population​ mean, μ.

Question

If X=70​, S=12​, and n=16​, and assuming that the population is normally​ distributed, construct a 90% confidence interval estimate of the population​ mean, μ. please round to two decimal places.

Answer 1

Formula for confidence interval:

xbar +/- t-critical * S/sqrt(n)

xbar is given as 70

t-critical is t-score for 15 DOF and tail alpha = 0.05 = 1.753

S is given as 12

n is given as n

plug values into formula to find bounds of confidence interval