The New York State Humane Society in conjunction with the state's Vet Board wishes to test whether to authorize the use of new special cat food for cats in Stage 3 kidney failure on life span. A random selection of cats are placed on a new IV treatments, PotAshLow, to stimulate appetite and also reduce potassium levels in the urine, versus a placebo and then the number of days to death arerecorded. Presume all cats are already on the same low potassium kidney failure food diet. Is there evidence the new food is associated with a longer life? PotAshLow 35, 90, 90, 150, 200, 250, 290, 300, 290, 370, 390

Placebo Food 25, 40, 60, 100, 190, 190, 170, 195, 230, 150, 120

a)Provide null and alternative hypotheses in formal terms and layperson's terms for the test b) show the math and reject/accept at a=.05

c)Explain the results in layperson's terms

d)Calculate and then explain a 95% confidence interval in layperson's terms if appropriate. If not, you must explain why not.