Apoll used a sample of 100 randomly selected car owners. within the sample, the mean time of ownership for a single car was 5.89 years with a standard deviation of 3.26 years. test the claim by the owner of a large dealership that the mean time of ownership for all cars is less than 6.5 years. use a 0.05 significance level.

We reject the null hypothesis at the significance level of 0.05.

Step-by-step explanation:

vs (lower-tail alternative)

We have , and n = 100. We have a large sample and our test statistic is

which is normal standard approximately. We have observed

.

We should use the significance level . The 5th quantile of the standard normal distribution is and the rejection region is given by RR = {z | z < -1.6449}. Because the observed value -1.8712 is less than -1.6449, we reject the null hypothesis at the significance level of 0.05.

the answer would be 0.54