Question

For questions 1-4, you will be provided with a t-value, the number of degrees of freedom, alpha, and whether the test is one- or two-tailed. You will then be asked to establish the critical t-value and state your decision regarding the null hypothesis.

1. t = 1.45, df = 12, alpha = .05, two-tailed

   critical value of t =
   Decision =

   (2 points)

2. t = 2.90, df = 22, alpha = .01, two-tailed

   critical value of t =
   Decision =

   (2 points)

3. t = 2.60, df = 17, alpha = .05, one-tailed

   critical value of t =
   Decision =

   (2 points)

4. t = 1.70, df = 13, alpha = .05, one-tailed

   critical value of t =
   Decision =

Answer 1

We will use t distribution calculator to find the critical value of t .

If the critical value is less than t, the decision is Reject null hypothesis H0.

If the critical value is greater than t, the decision is to fail to Reject null hypothesis H0.

1. t = 1.45, df = 12, alpha = .05, two-tailed

critical value of t = 2.18

Since t lies between -2.18 and 2.18, the decision is to fail to reject null hypothesis.

Decision = Fail to reject null hypothesis.

2. t = 2.90, df = 22, alpha = .01, two-tailed

critical value of t = 2.82

Since t is greater than the +2.82, the decision is reject null hypothesis.
Decision = Reject the null hypothesis.

3. t = 2.60, df = 17, alpha = .05, one-tailed

critical value of t = 1.74

Since t is greater than the critical value, the decision is reject null hypothesis.
Decision = Reject the null hypothesis.

4. t = 1.70, df = 13, alpha = .05, one-tailed

critical value of t = 1.77

Since t is less than the critical value, the decision is fail to reject null hypothesis.

Decision = Fail to reject null hypothesis.