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.**

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