Suppose samples are taken from two different groups of

Suppose samples are taken from two different groups of workers (50 in each sample) The first has an average wage of $550week (standard deviation 50), and the second has an average wage of $575week (standard deviation 60) Assume both samples are normally distributed a) Test whether each group has the same average weekly wage b) Suppose a worker in group 1 has a weekly wage of $475 What percentage of the workers in group 2 will earn less than this c) How do your answers to a) and b) change if the standard deviation of the second group is 120 instead of 60 (all other numbers are unchanged)?

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