Question

Calculate the 99% confidence interval for the difference (mu1-mu2) of two population means given the following sampling results. Population 1: sample size = 9, sample mean = 14.42, sample standard deviation = 0.47. Population 2: sample size = 14, sample mean = 10.78, sample standard deviation = 1.69.

Answer 1

Given :

Population 1: sample size ,

n1= 9

sample mean,

1 = 14.42

sample standard deviation,

s1= 0.47.

Population 2:

sample size,

n2 = 14

sample mean,

2 = 10.78,

standard deviation,

s2 = 1.69.

significance level,

= 1 - 99/100

= 0.01

the 99% confidence interval for the difference (mu1-mu2) of two population means is (2.2437 , 5.0363 )