In: Statistics and Probability
1. Set up the following statements as a null and an alternative hypotheses.
a) A cereal manufacturer is testing its cereal filling process. Its goal to have each cereal box contain 368 grams.
b) A company claims that the life of its Milemaster tire exceeds 47,000 miles.
c) We want to test if college students take less than five years to graduate from college.
d) We want to test whether the mean height of 8th graders is 66 inches.
a) NULL HYPOTHESIS: Average weight of cereal in each box is 368 grams.()
ALTERNATIVE : Average weight is not equal to 368.(two tailed)
b) NULL HYPOTHESIS: Mean life of Milemaster tire is equal=70000
Alternative : mean life exceed 70000 i.e (right tailed)
c) null hypothesis : college students take five years to graduate on an average.
Alternative : college graduates take less than five years to graduate. (left tailed)
d) null hypothesis : mean height of 8th graders is equal to 66 inches i.e
Alternative : mean height is not equal to 66. i.e (two tailed)
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