Question

Construct a 99% confidence interval to estimate the population mean using the data below.

x overbarx=15

s=5.6

n=12

What assumptions need to be made about this population?

The 99% confidence interval for the population mean is from a lower limit of ____ to an upper limit of ____

Answer 1

= 0.01

= 15

s = 5.6

n = 12

So,

SE = s/

= 5.6/ = 1.6166

ndf = m - 1 = 12 - 1= 11

From Table, critical values of t = 3.1058

Confidence interval:

15 (3.1058 X 1.6166)

= 15 5.0208

= ( 9.9792, 20.0208)

So,

answer is:

The 99% confidence interval for the population mean is from a low limit of 9.9792 and an upper limit of 20.0208.

Assumption need to be made:

The population should be Normal Distribution.