Assume that you have a sample of n₁ =9, with the sample mean X₁ = 43, and a sample standard deviation of S₁ = 7, and you have an independent sample of n₂ = 17 from another population with a sample mean of X₂ = 36 and the sample standard deviation S₂ = 8. Complete parts (a) through (d) below. a. What is the value of the pooled-variance tSTAT test statistic for testing Ho: H₁ H₂? ISTAT (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? degrees of freedom (Simplify your answer.) c. Using a significance level of a = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: ₁ ≤ H₂ against the alternative H₁: ₁ > H₂? "13" The critical value is. (Round to two decimal places as needed.) d. What is your statistical decision? OA. Reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. OB. Reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value. OC. Do not reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value.

From the given information we have

Sample mean (x̅₁) = 43
Sample mean (x̅₂) = 36
Sample size (n₁) = 9
Sample size (n₂) = 17
Standard deviations (s₁) = 7
Standard deviations (s₂) = 8
Significance level (α) = 0.01