# A random sample of 51 chemists from Washington state shows an average salary of $45750, the population standard deviation for chemist salaries in Washington state is$783. A random sample of 43 chemists from Florida state shows an average salary of $47453, the population standard deviation for chemist salaries in Florida state is$577. A chemist that has worked in both states believes that chemists in Washington make less than chemists in Florida. At αα=0.01 is this chemist correct? Let Washington be sample 1 and Florida be sample 2.

Question

A random sample of 51 chemists from Washington state shows an average salary of $45750, the population standard deviation for chemist salaries in Washington state is$783. A random sample of 43 chemists from Florida state shows an average salary of $47453, the population standard deviation for chemist salaries in Florida state is$577. A chemist that has worked in both states believes that chemists in Washington make less than chemists in Florida. At αα=0.01 is this chemist correct?

Let Washington be sample 1 and Florida be sample 2.