Question

QUESTION 12 A sample of size 100 is chosen from a population. The sample mean is 100 and the standard deviation is 15. Find the upper limit of the 95% confidence interval for the population mean. Round off to three decimal places

Answer 1

a = 1-0.95 = 0.05

$t_{\alpha/2}=t_{0.025}=1.984$

$\bar{x}=100$

s = 15

Upper limit $=\bar{x}+t_{0.025}*\frac{s}{\sqrt{n}}$

                 

15 = 100 +1.984* 100

                  = 102.976