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 13 of this year's entering students and finds that their mean IQ score is 114, with standard deviation of 9. The college records indicate that the mean IQ score for entering students from previous years is 112. If we assume that the IQ scores of this year's entering class are normally distributed, is there enough evidence to conclude, at the 0.05 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 complete the parts below.

Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

(a) State the null hypothesis H, and the alternative hypothesis H. P H : I X S p H : I 0 (b) Determine the type of test statistic to use. (Choose one) 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0#0 00 X 5 ? (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude, using the 0.05 level of significance, that the mean IQ score of this year's class is greater than that of previous years? Yes No