In a study examining gender bias, a nationwide sample of 127 science professors evaluated the application materials of an undergraduate student who had ostensibly applied undergraduate student who had ostensibly applied for a laboratory manager position. All participants received the same materials, which were randomly assigned either the name of a male (n_m = 63) or the name of a female (n_f = 64). Participants believed that they were giving feedback to the applicant, including what salary could be expected. The average salary recommended for the male applicant was $30,238 with a standard deviation of $5152 while the average salary recommended for the (identical) female applicant was $26,508 with a standard deviation of $7348. Does this provide evidence of a gender bias, in which applicants with male names are given higher recommended salaries than applicants with female names? Show all details of the test.