Question

A national food processor is studying two meat additives to determine if they differ on the mean amount of time (in hours) that it takes for the meat to spoil. They are particularly interested in how effective the additive is on ribeye steaks. Suppose 20 ribeye cuts are treated with additive A and 20 are treated with additive B. The results are summarized in the table below:

	Mean	Standard Deviation
Additive A (Group 1)	110.4	8.9
Additive B (Group 2)	126.9	8.1

Compute the test statistic to test the hypothesis at the 0.01 level of significance that the two means differ under the assumption that the population standard deviations are NOT equal (Case 2) to two decimal places.  Take all calculations to three decimal places.

Answer 1