Question

We are testing H₀: μ₁ - μ₂ = 0. Our 95% confidence interval is (-20.82,-7.54)

1) We should expect the t-statistic to be ______.

a) greater than 2

b) between 0 and 2

c) between 0 and -2

d) less than -2 .

2) We should expect the p-value to be ______.

a) less than .05

b) greater than .05

c) equal to .05 .

3) We should (reject fail to / reject ) H₀ and conclude that the group 1 population average is (smaller / larger) than the group 2 population average. It is possible that we could be making a (Type I / Type II) error.

We are testing H₀: μ = 15. Our t statistic is 1.13.

4) We can tell that in our sample, the sample average was (greater / less) than 15.

5) We should expect the 95% confidence interval to (include / exclude) 15.

6) We should expect the p-value to be (less than .05 / greater than .05 / equal to .05).

7) We should (reject / fail to reject) H₀.

8) It is possible that we could be making a (Type I / Type II) error.

Answer 1

H0: μ1 - μ2 = 0.

Our 95% confidence interval is (-20.82,-7.54)

1) We should expect the t-statistic to be-

  d) less than -2 .

2)  We should expect the p-value to be-

a) less than .05

( As we will reject the null hypothesis and this happens only when p-value is less than significance level (0.05))

3) It is possible that we are making TYPE I Error

( AS here we are rejecting null hypothesis & TYPE I error is rejecting null hypothesis when it is true)

We are testing H0: μ = 15. Our t statistic is 1.13.

4) We can tell that in our sample, the sample average was greater than 15.

( Because the test statistic is positive, that means that sample average is greater than 15)

5) We should expect the 95% confidence interval to include 15.

( As here we will fail to reject the null hypothesis, then 95% confidence interval should include 15)

6) We should expect the p-value to be greater than .05

  ( As we will fail to reject the null hypothesis , & this will happen only when p-value is greater than 0.05)

7)We should fail to reject H0.

8) It is possible that we could be making a Type II error.

( Because here we are failing to reject the null hypothesis & Type II error is accepting the null hypothesis when it is False)