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 populations’ 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