An issue of AAA Living magazine had an article claiming that

An issue of AAA Living magazine had an article claiming that the average length of time for a person to own a car in America is 5.5 years. A group of car enthusiasts in South Carolina believes that South Carolina residents own their cars longer than that on average. To test this, they obtained a random sample of 50 South Carolina car owners and found out how long each person\'s last car had been owned. The sample average time was 6.1 years with sample standard deviation 2.1 years. Use a 5% level of significance to test the \"car enthusiasts\" group\'s belief.

1. The correct hypotheses are

H_O: p = 5.5

H_A: p > 5.5

H_O: mu > 5.5

H_A: mu = 5.5

H_O: mu = 5.5

H_A: mu > 5.5

H_O: mu = 5.5

H_A: mu < 5.5

2. The correct p-value for the correct test is

.024

.035

.041

.048

3. The correct conclusion is

reject H_O, the average time of a car to be owned in SC is greater than 5.5 years

reject H_O, the average time of a car to be owned in SC must be 5.5 years

fail to reject H_O, the average time of a car to be owned in SC is 5.5 years

fail to reject H_O, there is not enough evidence to say the average time of a car to be owned in SC is greater than 5.5 years

Solution

1

HO: mu > 5.5

HA: mu = 5.5

2..041

3.reject HO, the average time of a car to be owned in SC is greater than 5.5 years