It is believed that the average age of California females at time of marriage is younger than that of males. Among a sample of 27 females, the average age at time of marriage was 27.4 years with standard deviation 2.84 years. A sample of 22 males found the average age at time of marriage was 30.2 years with standard deviation 3.77 years. 1. State the hypotheses and indicate which is the claim. 2. Find the test-statistic and p-value. 3. State your conclusion at the 0.02 significance level. 4. Find a comparable confidence interval for the difference in average age at time of marriage between females and males