Is this a z test, single sample t test, independent sample t-test or a paired sample t test? Also, what is the null and alternative hypothesis?

6.) A student wished to determine if there is a significant difference between the mean age of cars owned by students and the mean age of cars owned by faculty at his college. A random sample of 217 student cars had ages with a M = 7.89 years and a's = 3.67 years. A random sample of 152 faculty cars had ages with M = 5.99 years and a s = of 3.65 years. Use an | 0=0.01 significance level to test the claim that there is a significant difference between the two population means. 1.) What type of test should you perform (z-test, single sample t-test, independent samples t-test, paired samples t-test)? Why? 2.) State the null and alternative hypotheses in statistical notation. H