A government agency reports that the mean amount of earnings for full-time workers ages 25 to 34 with a master’s degree is less than $70,000. In a random sample of 15 full-time workers ages 25 to 34 with a master’s degree, the mean amount of earnings is $66,231 and the standard deviation is $5945. At α = 0.05, is there enough evidence to support the agency’s claim? Assume the population is normally distributed.
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