A government agency reports that the mean amount of earnings for full-time workers ages 25 to 34 with a master's degree is $62,569. In a random sample of 15 full-time workers ages 25 to 34 with a master's degree, the mean amount of earnings is $59,231 and the standard deviation is $5945. Is there enough evidence to reject the agency's claim? Use a P-value and = 0.05. Assume the population is normally distributed. (Adapted from U.S. Census Bureau)