State the null and alternative hypothesis for the following: a) The average SAT in the state is reported to be 1,010. A school administrator wants to know if the mean for the local district is the same or different from 1,010, so the administrator takes a random sample of scores from the records of students in the district. b) The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate has received numerous complaints that the apartments are smaller than advertised. A state building inspector is sent out to measure a sample of apartments. c) A vendor tells the chief of the state motor pool that a new gasoline additive will increase car engine performance and gas mileage Records show that the average state car gets 26.2 miles per gallon. The chief decides to take a sample of cars.
State the null and alternative hypothesis for the following:
a) The average SAT in the state is reported to be 1,010. A school administrator wants to know if the mean for the local district is the same or different from 1,010, so the administrator takes a random sample of scores from the records of students in the district.
b) The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate has received numerous complaints that the apartments are smaller than advertised. A state building inspector is sent out to measure a sample of apartments.
c) A vendor tells the chief of the state motor pool that a new gasoline additive will increase car engine performance and gas mileage Records show that the average state car gets 26.2 miles per gallon. The chief decides to take a sample of cars.
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