An issue of AAA Living magazine had an article claiming that the average length

Question

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

HO: p = 5.5

HA: p > 5.5

HO: mu > 5.5

HA: mu = 5.5

HO: mu = 5.5

HA: mu > 5.5

HO: mu = 5.5

HA: mu < 5.5

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

.024

.035

.041

.048

3. The correct conclusion is

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

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

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

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

HO: p = 5.5

HA: p > 5.5

HO: mu > 5.5

HA: mu = 5.5

HO: mu = 5.5

HA: mu > 5.5

HO: mu = 5.5

HA: mu < 5.5

Explanation / Answer

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

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