Question

QUESTION 5 Construct a 95% confidence interval for μ 1 - μ 2. Two samples are randomly selected from normal populations.

The sample statistics are given below. n 1 = 8 n 2 = 7 1 = 4.1 2 = 5.5 s 1 = 0.76 s 2 = 2.51 (-1.132, 1.543) (2.112, 2.113) (-1.679, 1.987) (-3.813, 1.013)

Answer 1

Point estimate of differnce =x1-x2     =			-1.400
for 95 % CI & 6 df value of t=			2.447
margin of error E=t*std error                   =			2.413
lower bound=mean difference-E     =			-3.813
Upper bound=mean differnce +E      =			1.013

95% confidence interval for μ 1 - μ 2 =(-3.813 , 1.013)