Medical OperationsThe director of a medical hospital feels that her surgeons perform more operations per year than the national average of211. She selected a random sample of15surgeons and found that the mean number of operations they performed was212.2.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.

(a) State the hypotheses and identify theclaim.

H₀ : ____ $______

H₁ : ____ $______

This hypothesis test is a______ -tailed test.

(b) Find the critical values.

(c) Compute the testvalue.

(d) Make thedecision.

(e) Summarize theresults.