Proportion of 1 cup sugar to 6 cups lemonade

Answer this question only if you know the answer! 30 points and

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]

Astudy found that the variance in the number of vehicles owned or leased by subscribers to a magazine is .094. assume a sample of 12 subscribers to another magazine provided the following data on the number of vehicles owned or leased: 1,1,1,0,3,2,1,1,2,1,0, and 1 a) compute the sample variance in the number of vehicles owned or leased by the subscribers (to 4 decimals). b)test the hypothesis to determine whether the variance in the number of vehicles owned or leased by subscribers of the other magazine differs from .calculate the value of the test statistic (to 3 decimals).