An article reports that a 95% confidence interval for the difference of two means ux - uy is (-5, 4.5). What can you conclude about the two sided test of Ho: ux - uy = 0 vs Ha : ux - uy (does not equal) 0?
Solution:
The null and alternative hypothesis are
Ho: ux - uy = 0 vs Ha : ux - uy 0
95% confidence interval for the difference of two means ux - uy is (-5, 4.5).
Hypothetical value 0 is inside the interval (-5, 4.5)
So ,
Fail to reject Ho: ux - uy = 0
Conclusion:
There is not sufficient evidence to support the claim that there is significant difference between two means and .
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