A man makes the implausible claim that the average yearly salary of men in a certain profession is only S6600. A random sample of 150 men in that profession shows a mean salary of S6730 with a standard deviation of 5900.
(a) Calculate the prob-value, and interpret.
(b) At a 5% level of significance would you reject the man's claim?
(c) At a 1% level of significance, would you reject his claim? Would you therefore accept it? Explain your answer