Question 314401
Describe the type of test statistic you would use and state the Null and Alternate Hypotheses. 
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 () of 4 oz and a standard deviation( ) 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? 
Type of test statistic: t_______________ 
Hypotheses: H0: u >= 5 oz _______________________ 
H1: u < 5 oz _______________________ 
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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? 
Type of test statistic F-test _________________ 
Hypotheses: H0: The means are all equal _______________________ 
H1: At least one of the means is not equal  _______________________ 
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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. 
Type of test statistic: Chi-Sq _________________ 
Hypotheses: H0: Row and Column factors are independent _______________________ 
H1: Row and Column factos are dependent _______________________ 

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Cheers,
Stan H.