A sample of 53 night-school students' ages is obtained in order to estimate the mean age of night-school students. x = 25.6 years. The population variance is 27.
(a) Give a point estimate for μ. (Give your answer correct to one decimal place.)
(b) Find the 95% confidence interval for μ. (Give your answer correct to two decimal places.)
Lower Limit
Upper Limit
(c) Find the 99% confidence interval for μ. (Give your answer correct to two decimal places.)
Lower Limit
Upper Limit
n=53, = 25.6 ,
=27
,
=5.1962,
C=95%
a) Point Estimate = = 25.6
b) formula for Confidence Interval is
where Zc is the Z critical value for C= 95%
Zc= 1.96
24.201< <26.999
(24.20 , 27.00)
Lower Limit = 24.20
Upper Limit = 27.00
c)
formula for Confidence Interval is
where Zc is the Z critical value for C= 99%
Zc= 2.58
23.761< <27.439
Lower Limit = 23.76
Upper Limit = 27.44
Get Answers For Free
Most questions answered within 1 hours.