10.11

Use the data given and the eight-step process to test the following hypotheses.

 

            H₀: µ₁ - µ₂ = 0

            H_a: µ₁ - µ₂ < 0

 

Sample 1	Sample 2
n1 = 8	n2 = 11
= 24.56	= 26.42

 

Use a 1% level of significance, and assume that x is normally distributed.

 

α = .01

 

 

This is a one-tailed test. Degrees of freedom are: 8 + 11 – 2 = 17. α = .01

 

From table A.6:

The null hypothesis is rejected if is less than

 

The sample data is already given:

 

Sample 1	Sample 2
n1 = 8	n2 = 11
= 24.56	= 26.42

 

 

 

 

 

= -1.05 is NOT less than= -2.57. Therefore, the null hypothesis is NOT rejected.