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a. Beef patties for McDonalds are prepared and packaged at a processing plant and shipped frozen to the individual outlets. From past experience, it is known that the weight of individual patties is normally distributed with a mean µ) of 4 oz and a standard deviation (s) of .5 oz.. If a random sample of 25 patties has an average weight of 4.235 oz., should management feel the patties are not meeting weight specifications?

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b. Suppose that an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline to use. The four grades are regular, regular leaded, premium and super premium. The test car made 30 trial runs on the test track using each of the four grades. What test would they use to base their recommendation?

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c. A random sample of current students at United University yields the following data:

Major Male Female

Business 20 10

Engineering 15 5

Liberal Arts 30 20

Science 30 20

Use the data to determine if major is independent of sex.

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