A survey of 100 randomly selected Michigan homeowners finds that they spend a mean of $67 per month on home maintenance. In an independent survey, 100 randomly selected Florida homeowners find that they spend a mean of $75 per month on home maintenance. Construct a 99% confidence interval for the true difference in the mean amounts of money spent per month on home maintenance for the two states. Assume that the population standard deviation is $14 per month for Michigan homeowners and $21 per month for Florida homeowners. Round the endpoints of your interval to the nearest cent and interpret the result.
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