Question

a simple random sample of size n = 16 is drawn from a population that is normally distributed. The sample mean is found to be x = 50 and the standard deviation is found to be s = 11. Construct a 95% confidence interval about the populatio nmean

Answer 1

Given a simple random sample say, x x xn, where n=16 and Noonally i distributed. Let Sauplemears, 8-taxi Sauiple standard deviation, s. I I (xi-Bje Ginen X= 50. we need to construct a5% confidence interva about the population meam, say t. 13.95%, 2-0.05 The formula for confidence interval, pe {* #2 20 = 1396 Moc [ 5051.96x4] pie ( 50 + .9682-75] Me [50 + 5.39] > 44.61* p< 55.39 - we can 95% confident that the population meam f lies between 44.61 and 55.39.