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 14 of this year's entering students and finds that their mean IQ score is 116, with standard deviation of 12. The college records indicate that the mean IQ score for entering students from previous years is 110. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the .1 level of significance, that the mean IQ score of this year's class is greater than that of previous years?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
1 null hypothesis?
2. alternative hypothesis?
3. type of test t z chi f
4. Value of test statistic
6. can we conclude the mean IQ of this year is greater than previous years
This solution shows how to conduct a hypothesis test for the situation described in an attached Word document.