In a research report, Richard H. Weindruch of the UCLA Medical School claims that mice with an average life span of 32 months will live to be about 40 months old when 40% of the calories in their diet are replaced by vitamins and protein. Is there any reason to believe that <40 if 64 mice that are placed on this diet have an average life of 38 months with a standard deviation of 5.8 months? Use a P-value in your conclusion.

Problem 10.19In a research report, Richard H. Weindruch of the UCLA Medical School claims that mice withan average lifespan of 32 months will live to be about 40 months old when 40% calories in theirdiet are replaced by vitamins and protein. Is there any reason to believe that µ < 40 if 64 micethat are placed on this diet have an average life of 38 months with a standard deviation of 5.8months Use P-value in your conclusion. Step-by-step solution Step 1 of 4Test whether the population mean m is less than 40 or not.The null and alternative hypothesis are,Since, the sample size is greater than 30, the use one sample z-test to test the claim.The formula for the test statistic is,