Suppose I collect some data and get the following 95 % confidence interval for u

Question

Suppose I collect some data and get the following 95 % confidence interval for u1 -u2: (-5,-3)

I wish to test the null hypothesis

Ho:u1 = u2

for the following tests, will I reject the null? answer" yes, no or can't tell from the information given"

1. A test at level alpha = 0.01 with alternative hypothesis Ha : u1 +=/u2

2.A test at level alpha = 0.01 with alternative hypothesis Ha : u1 >u2

3. A test at level alpha = 0.01 with alternative hypothesis Ha : u1 <u2

4. A test at level alpha = 0.05 with alternative hypothesis Ha : u1 =/u2

5. A test at level alpha = 0.05 with alternative hypothesis Ha : u1 >u2

6. A test at level alpha = 0.05 with alternative hypothesis Ha : u1 <u2

7. A test at level alpha = 0.10 with alternative hypothesis Ha : u1 =/u2

8. A test at level alpha = 0.10 with alternative hypothesis Ha : u1 >u2

9. A test at level alpha = 0.10 with alternative hypothesis Ha : u1 <u2

Explanation / Answer

Option-6 is the correct answer.

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