The Orange County Supervisor claims that full-time salaried employees in her county have a mean annual income that is greater than $50,000. If she based that claim on a sample of 150 such employees...

The Orange County Supervisor claims that full-time salaried employees in her county have a mean annual income that is greater than $50,000. If she based that claim on a sample of 150 such employees who had a sample mean of ¯x=$52,122 and a standard deviation of s=$14,276, is her claim justified? Use an α=0.01 significance level.