Medical OperationsThe director of a medical hospital feels that her surgeons perform more operations per year than the national average of

211

.She selected a random sample of15

surgeons and found that the mean number of operations they performed was212.9

.The standard deviation of the sample was3.8

.Is there enough evidence to support the director's feelings at=

0.01

?Assume thatthe populationis approximately normally distributed. Use the critical value method and tables.

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(a) State the hypotheses and identify theclaim.