A study was conducted that measured the total brain volume (TBV) (in mm³) of patients that had schizophrenia and patients that are considered normal.The tables below contain the TBV of the normal patients and of the schizophrenia patients.

(a)Set up and run a test of hypothesis to determine ifthere is enough evidence to show thatthe patients with schizophrenia haveless TBVon averagethan a patient that is considered normal?Use a level of significance of 10%.Specifically, do the following:

(i)Write down the null and alternative hypotheses.

(ii)Verify that the assumptions necessary to apply the test are satisfied.

(iii)What is the test statistic and what is the p-value?

(iv)State your conclusion.

Table A: Total Brain Volume (in mm3) of Normal Patients ____ Table B: Total Brain Volume (in mm3) of Schizophrenia Patients ____