Question 314401: Statistics-Hypotheses Testing
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_______________
Hypotheses: H0 _______________________
H1 _______________________
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_________________
Hypotheses: H0 _______________________
H1 _______________________
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: _________________
Hypotheses: H0 _______________________
H1 _______________________
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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