The average earnings of year-round full-time workers with bachelor’s degrees or more is $88,641 for men and $58,000 for women—a difference of slightly over $30,000 a year. One hundred of each were sampled, resulting in a sample mean of $90,200 for men, and the population standard deviation is $15,000, and a mean of $57,800 for women, and the population standard deviation is $12,800. At the 0.01 level of significance can it be concluded that the difference in means is not $30,000?