1. According to the American MedicalAssociation, the average annual earnings of radiologists in theUnited States are $230,000 with a standard deviation of $15,000.The average annual earnings of surgeons are $225,000 with astandard deviation of $32,000. Suppose that the means are based onrandom samples of 300 radiologists and 400 surgeons. Assume thatthe two populations are normally distributed.
a. Construct a 99% confidence interval for the differencebetween mean annual earnings of radiologists and surgeons.
b. Interpret the results.
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