Question

Construct the indicated confidence interval for the population mean μ using the t-distribution.
c = 0.95,   = 645, s = 31, n = 16

Answer 1

Construct the indicated confidence interval for the population mean μ using the t-distribution.
c = 0.95,   = 645, Sx = 31, n = 16

The (1 - )% confidence interval for population mean without the population Sd using t-dist

here the = 1 - c = 1 - 0.95 = 0.05

The critical value =

= 2.1315 ...............using t-dsit tables with df = 15 and p = 0.025

Substituting the other values