A99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3. this result is based on a sample of size 144. construct the 95% confidence interval.

a) 66.0 in < μ < 67.0 in.
b) 65.7 in < μ < 67.3 in.
c) 65.6 in < μ < 67.4 in.
d) 65.9 in < μ < 67.1 in.

d) 65.9 in < μ < 67.1 in.

Step-by-step explanation:

Given that a 99% confidence interval (in inches) for the mean height of a population is 65.7 < μ < 67.3

Mean = average of 65.7 and 67.3 =

i.e. here margin of error =

For 99% confidence interval critical value is 2.58

Hence std deviation =

For 95% confidence interval critical value is 1.96

Margin of error =

Hence confidence interval =

d) 65.9 in < μ < 67.1 in. is right

ian gonna lie that is way to much