A college professor claims that the entering class this yearappears to be smarter than entering classes from previous years. Hetests a random sample of 14 of this year's entering students andfinds that their mean IQ score is 116, with standard deviation of14. The college records indicate that the mean IQ score forentering students from previous years is 111. If we assume that theIQ scores of this year's entering class are normally distributed,is there enough evidence to conclude, at the 0.05 level ofsignificance, that the mean IQ score, ?, of this year's class isgreater than that of previous years?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimalplaces and round your answers as specified in the table.
| The nullhypothesis: | H0: | | The alternativehypothesis: | H1: | | The type of teststatistic: | (Choose one)Z, t,Chi square, F | | | | | | | The value of thetest statistic:
(Round to at least three decimal places.) | | | The critical valueat the 0.05 level of significance:
(Round to at least three decimal places.) | | | Can we conclude,using the 0.05 level of significance, that the mean IQ score ofthis year's class is greater than that of previous years? | Yes | No |
|
