Some states that operate a lottery believe that restricting the use of lottery profits to supporting education makes the lottery more profitable. Other states permit general use of the lottery income. The profitability of the lottery for a group of states in each category is given below.

Test at the α = 0.01 level whether the mean profit of states using the lottery for education is higher than that of states permitting general use. Assume that the variances of the two random variables are equal.

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State Lottery Profits For Education For General Use State % Profit State % Profit Massachusetts New Mexico Idaho Kentucky South Carolina Georgia Missouri Ohio Tennessee Florida California North Carolina New Jersey aine Iowa Colorado Indiana Dist. Columbia Connecticut Pennsylvania Maryland 28 27 27 29 32 32 31 31 35 35 35