The director of a medical hospital feels that her surgeons perform fewer operations per year than the national average of 211.operations per surgeon. She selected a random sample of 15 surgeons and found that the mean number of operation they performed was x = 208.8. The sample standard deviation was s = 3.8. Test the null hypothesis that the population mean is 211 against the alternative hypothesis that the population mean is less than 211 at the 0.10 level of significance.

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