Which of the following is the correct t critical value for:H0: µ > µ0, H1: µ < µ0, p < .01, n= 38Question 19Answera.2.429b.-2.715c.-1.687d.-2.431

The correct answer is b. -2.715.

Here's the step-by-step process:

1. Identify the type of test: This is a one-tailed t-test because the alternative hypothesis (H1) is µ < µ0, which means we're only looking at one direction (less than).

2. Identify the significance level: The problem states that p < .01, which means the significance level (α) is .01.

3. Identify the degrees of freedom: The degrees of freedom for a t-test is the sample size (n) minus 1. So in this case, it's 38 - 1 = 37.

4. Look up the t critical value: Using a t-table, you would look for the row with 37 degrees of freedom and the column for a one-tailed test with α = .01. The value you find is -2.715.

5. Choose the correct answer: The t critical value is negative because we're looking at a "less than" alternative hypothesis. So the correct answer is b. -2.715.