Question

You are the Director of New Product Marketing for KFC. Your company has just rolled out its new Oven Roasted Chicken product to 1,500 company-owned stores in the U.S. Before releasing this product to your U.S. franchisees (who own about 4,500 KFC stores), you need to make sure that the preparation procedures are simple enough that minimum wage workers can follow them. One issue that concerns you most is that the chicken be cooked well enough to kill all potential disease-causing bacteria. This requires that the chicken be served with an interior product temperature of at least 180 degrees Fahrenheit. Product Development assures you that these procedures will do the trick, but you want to test them before releasing them (and introducing the Oven Roasted chicken product) to all of your U.S. franchisees. You have finally gotten all relevant departments at headquarters to agree to a test. After much negotiation, an agreement was achieved on an alpha of 0.05. To keep the time and the cost manageable, you have agreed to check the temperature of all the rotisserie chickens sold (an average of 15 per store for the day) in a random sample of 2% of KFC's company-owned U.S. stores. The results show an average serving temperature of 179.1 degrees Fahrenheit with a standard deviation of 10.9. 1. State the null and alternate hypotheses. 2. Find the test statistic (t-test or z-test why?) and give the critical value. 3. State the decision rule. 4. Calculate the test statistic. 5. Give a recommendation.

You are the Director of New Product Marketing for KFC. Your company has just rolled out its new Oven Roasted Chicken product to 1,500 company-owned stores in the U.S. Before releasing this product to your U.S. franchisees (who own about 4,500 KFC stores), you need to make sure that the preparation procedures are simple enough that minimum wage workers can follow them. One issue that concerns you most is that the chicken be cooked well enough to kill all potential disease-causing bacteria. This requires that the chicken be served with an interior product temperature of at least 180 degrees Fahrenheit. Product Development assures you that these procedures will do the trick, but you want to test them before releasing them (and introducing the Oven Roasted chicken product) to all of your U.S. franchisees.

You have finally gotten all relevant departments at headquarters to agree to a test. After much negotiation, an agreement was achieved on an alpha of 0.05. To keep the time and the cost manageable, you have agreed to check the temperature of all the rotisserie chickens sold (an average of 15 per store for the day) in a random sample of 2% of KFC's company-owned U.S. stores. The results show an average serving temperature of 179.1 degrees Fahrenheit with a standard deviation of 10.9.

1. State the null and alternate hypotheses.
2. Find the test statistic (t-test or z-test why?) and give the critical value.
3. State the decision rule.
4. Calculate the test statistic.
5. Give a recommendation.

Added by Dan G.

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