Problem Scenario 1:

Following is a problem description. Use the mean & variance provided to answer the questions which follow, showing all calculations BY HAND. For all hypothesis tests, you MUST show all 7 steps we have been using and use the CRITICAL VALUE METHOD to make your decision.Treat each question as a separate problem -- we use the same data set but are answering different "research questions".

Irradiation of Food

The irradiation of food to destroy bacteria is a growing phenomenon. In order to determine which one of two methods of irradiation is best; a scientist took a random sample of 100 one- pound packages of minced meat and subjected 50 of them to irradiation Method 1 and the remaining 50 to irradiation Method 2. The bacteria count was measured and the following statistics were computed.The scientist noted that the data are normally distributed.

NOTE: use ONLY the Critical Value method for hypothesis tests. If you include both rules in step 4 or include both in your decision step, I will have to conclude that you do not yet understand them.