STT051 Inferential Statistics and Biometry Final Examination June 3, 2022 GENERAL INSTRUCTION. Answer the following problems and show your complete solution including the formula used in the problem. MAGIC is strictly prohibited!5. In a medical research report, it is claimed that mice with an average life span of 32 months will live to be about 40 months when 40% of the calories in their food are replaced by vitamins and protein. A random sample of 64 mice are placed on this diet and found to have an average life of 38 months with a standard deviation of 5.8 months? a) Find a 95% condence interval for the mean life of mice. 1)) Test the hypothesis that at 0.025 level of significance that the average life span is less than 40