Nutritional information provided by Kentucky Fried Chicken (KFC) claims that each small

Chapter 10, Problem 10.67

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Nutritional information provided by Kentucky Fried Chicken (KFC) claims that each small bag of potato wedges contains 4.8 ounces of food and 280 calories. A sample of ten orders from KFC restaurants in New York and New Jersey averaged 358 calories.13 a If the sample standard deviation was s = 54, is there sufficient evidence to indicate that the average number of calories in small bags of KFC potato wedges is greater than advertised? Test at the 1% level of significance. b Construct a 99% lower confidence bound for the true mean number of calories in small bags of KFC potato wedges. c On the basis of the bound you obtained in part (b), what would you conclude about the claim that the mean number of calories exceeds 280? How does your conclusion here compare with your conclusion in part (a) where you conducted a formal test of hypothesis?

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