Final answer:
b. To test the claim regarding the mean distance between oil changes, conduct a hypothesis test at a 1% significance level with a critical value of -2.33. If the test statistic is less than -2.33, reject the null hypothesis.
Step-by-step explanation:
To test the claim that the mean distance between oil changes is lower for all lower price cars, we can conduct a hypothesis test. At a 1% significance level, the critical value is -2.33 (option (b)).
If the test statistic is less than -2.33, we reject the null hypothesis and conclude that the mean distance between oil changes is lower for lower price cars. If the test statistic is greater than -2.33, we fail to reject the null hypothesis.