To see whether there is a statistically significant difference between the age of owners of convertibles and the age of owners of sedans, an advertising agency found that 15 convertible owners had an average age of 29.2 years with s=5, and 35 sedan owners had an average age of 24.8 years with s=8. Test at a 5% level of significance.

a. State the null and alternative hypotheses

b. Calculate the expected results for the hypothesis test assuming the null hypothesis is true and determine the hypothesis test model, i.e., "cut off" critical values etc.

c. Formulate the decision rule, i.e., include "one-tail" left, or "one-tail" right, or "two-tail" determination etc.

d. Determine the experimental outcome.

e. Determine the conclusion, and answer the question(s) posed in the problem, if any.

(Please Include Graph)