Question

# A sample of 53 night-school students' ages is obtained in order to estimate the mean age...

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

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