Question

a. We are testing H₀: μ₁ - μ₂ = 0. Our 95% confidence interval is (-23.95,-7.41).

We should expect the t-statistic to be _____( greater than 2 /between 0 and 2/ between 0 and -2 /less than -2) .

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

b. We are testing H₀: μ = 15. Our t statistic is 1.53.

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

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

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

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

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

Answer 1

a.

We are testing H₀: μ₁ - μ₂ = 0. Our 95% confidence interval is (-23.95,-7.41).

We should expect the t-statistic to be less than -2

We should expect the p-value to be less than .05.

We should reject H₀ and conclude that the group 1 population average is smaller than the group 2 population average.

It is possible that we could be making a Type I.

b.

We are testing H₀: μ = 15. Our t statistic is 1.53.

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

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

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

We should fail to reject H₀.

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