When 100 randomly selected car owners are surveyed,it is found that the mean length of time they plan to keep their car is 7.01 years,and the standard deviation is 3.74 years.Calculate the p-value for the test statistic used to test the claim that the mean years for all car owners is less than 7.5 years.
A)-0.0951
B)0.0951
C)0.1902
D)0.0057
E)- 0.0057

Question

Quizplus · Accepted Answer

The test statistic is calculated using the formula for the z-score: $ z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}} $, where $\bar{x} = 7.01$, $\mu = 7.5$, $\sigma = 3.74$, and $n = 100$. The z-score is approximately -1.31. The p-value for a left-tailed test with this z-score is approximately 0.0951.

When 100 Randomly Selected Car Owners Are Surveyed,it Is Found