Question

Premier Motorcars is the new Fiat dealer in Delavan, Illinois. Premier Motorcars has been regularly advertising in its local market area that the new Fiat 500 average 30 miles to a gallon of gas and mentions that this figure may vary with driving conditions. A local consumer group wishes to verify the advertising claim. To do so, it selects a sample of recent purchasers of Fiat 500. It asks them to drive their cars until two tanks of gasoline have been used up and to record the mileage. The group then calculates and records the miles per gallon for each year. The data in the following table portray the results of the tests.

1.    Table1. Miles per Gallon Information

Purchaser	Miles Per Gallon
1	30.9
2	24.5
3	31.2
4	28.7
5	35.1
6	29
7	28.8
8	23.1
9	31
10	30.2
11	28.4
12	29.3
13	27
14	26.7
15	31
16	23.5
17	29.4
18	26.3
19	27.5
20	28.2
21	28.4
22	29.1
23	21.9
24	30.9

For the sample given in the text, compute the following values:

Conduct a hypothesis test to determine if the car in question does achieve the advertised mileage using a 0.05 significance level.

Answer 1