Thanks to an initiative to recruit top students, an administrator at a college claims that this year's entering class must have a greater mean IQ score than that of entering classes from previous years. The administrator tests a random sample of 19 of this year's entering students and finds that their mean IQ score is 118, with a standard deviation of 12. The college records indicate that the mean IQ score for entering students from previous years is 112. mean IQ Is there enough evidence to conclude, at the 0.05 level of significance, that the population score, u, of this year's class is greater than that of previous years? To answer, assume that the IQ scores of this year's entering class are approximately normally distributed. Perform a one-tailed test. Then answer the questions below. Carry your intermediate computations to three or more decimal places. (a) State the null hypothesis Ho and the alternative hypothesis H1. Ho: H1: zedlogy Hun er 12 (s) (b) Determine the type of test statistic to use. au bod 12s to eqv sitt snimais (d) . Z . t Chi-square 916Up2-110 . F Degrees of freedom (if applicable): 29910s (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we conclude that the mean IQ score of this year's class is greater than that of previous yea Yes No pHmm OS