[10 points] Nutritional researchers want to investigate the effectiveness of a special high- reducing serum cholesterol level in men. 22 randomly selected men were given the SHF diet for two months and their cholesterol level measured. 30 men in the control group are given regular diet. The following sample results are available: Treatment Group (Individuals on SHF diet) Control Group (Individuals on regular diet) Sample Size 22 30 Sample Mean (Average cholesterol level in mg/dl) Sample Standard Deviation 110 120 10 8 Test the hypothesis that there is no difference in average cholesterol levels of the two populations. a) State the null and alternative hypotheses in this box. [Answer written outside this box will not be considered.] b) What is the degree of freedom for this test? Write your answer in this box. [Answer written outside this box will not be considered.] c) What is the critical value for testing the above hypothesis using 1% level of significance? Write your answer in this box. [Answer written outside this box will not be considered.] d) Test the hypothesis using a =0.01. Show work below and write your conclusion in this box. [Conclusion written outside this box will not be considered.]-