In: Statistics and Probability
3. The owner of a gasoline station wants to study gasoline
purchasing habits by motorists at...
3. The owner of a gasoline station wants to study gasoline
purchasing habits by motorists at his station. He selects a random
sample of 55 motorists during a certain week, with the following
results:
- The amount purchased was XBar = 11.0 gallons, S = 3.3
gallons.
- 15 motorists purchased premium-grade gasoline.
- At the 0.05 level of significance, is there evidence that the
population mean purchase was different from 10 gallons?
- At the 0.1O level of significance, is there evidence that fewer
than 25% of all the motorists at the station purchased
premium-grade gasoline?
- What is your answer to (a) if the sample mean equals 11.3
gallons?
- What is your answer to (c) if 7 motorists purchased premium
gasoline?