Small sample hypothesis test for a population mean
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Hypothesis test for the population mean: t test
A college professor claims that the entering class this year appears to be smarter than entering classes from previous years. He tests a random sample of 17 of this year's entering students and finds that their mean IQ score is115 , with standard deviation of 14. The college records indicate that the mean IQ score for entering students from previous years is 113. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the .01 level of significance, that the mean IQ score, of this year's class is greater than that of previous years?
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This solution is a detailed, step-by-step example of how to conduct and interpret a small sample hypothesis test for a population mean.
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