The CEO of a company claims that the mean work day of his mechanical engineers is at most 8.5 hours. A random sample of 25 of the company's mechanical engineers has a mean work day of 8.2 hours....

The CEO of a company claims that the mean work day of his mechanical engineers is at most 8.5 hours.  A random sample of 25 of the company's mechanical engineers has a mean work day of 8.2 hours.  Assume the population standard deviation is 0.5 hours and the population is normally distributed.  At the alpha = 0.01 level, test the CEO's claim,

 Write the p-value of the test rounded to 4 decimal places, and the one sentence conclusion written like a statistician.  Show all of your work.