# If a data set of n=115 has a mean of 9.74 and a population standard deviation of 2.93, what is the 95% confidence interval?

##### 1 Answer

Nov 2, 2015

We are 95% confidence that the population mean lies between

#### Explanation:

95% Confidence interval is -

#mu=barx+-(SE . z)#

# SE =sigma/sqrtn=2.93/sqrt115=2.93/10.72=0.27#

#z = 1.96#

Upper Limit:

#mu=9.74+(0.27 xx 1.96)#

#mu=9.74+0.53#

#mu=10.27#

Lower Limit:

#mu=9.74-(0.27 xx 1.96)#

#mu=9.74-0.53#

#mu=9.21#