BSC Longevity ?Listed below are the numbers of years that popes and British monarchs (since 1690) lived after their election or coronation (based on data from Computer-Interactive Data Analysis, by Lunn and McNeil, John Wiley and Sons). Treat the values as simple random samples from a larger population. Use a 0.05 significance level to test the claim that both populations of longevity times have the same variation. Popes: 2 9 21 3 6 10 18 11 6 25 23 6 2 15 32 25 11 8 17 19 5 15 0 26 Kings and Queens: 17 6 13 12 13 33 59 10 7 63 9 25 36 15

Solution 14 BSC Step 1 The given problem explain about longevity. From the given problem we know that we want to test the claim that both populationsâ€™ longevity times have the same variation. Here, first sample is Kings and Queens group because its standard deviation is larger and second sample is popes. Then hypothesis is H 0 =1 2 H 1 = 1 / 2 Where and are the variance of population. 1 2 Then the given data is Longevity n1=14 Kings and x1= 22.17 Queens : s =18.60 1 n =24 2 Popes : x =13.13 2 s2=8.96 From given data, we calculated from the calculator