content area top Part 1 A Statistics professor has observed that for several years students score an average of 113 points out of 150 on the semester exam. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will increase students' scores. The software is expensive, and the salesman offers to let the professor use it for a semester to see if the scores on the final exam increase significantly. The professor will have to pay for the software only if he chooses to continue using it. In the trial course that used this software, 237 students scored an average of 116 points on the final with a standard deviation of 8.8 points. Complete parts a) and b) below. Question content area bottom Part 1 a) Should the professor spend the money for this software? Support this recommendation with an appropriate test. Use alphaequals0.05. What are the null and alternative hypotheses? Upper H 0: mu equals 113 Upper H Subscript Upper A: mu greater than 113 Part 2 What is the test statistic? z t equals enter your response here (Round to two decimal places as needed.) Part 3 What is the P-value? P-valueequals enter your response here (Round to four decimal places as needed.) Part 4 What is the appropriate conclusion? A. Reject Upper H 0. The change is not statistically significant. The software does not appear to improve exam scores. B. Fail to reject Upper H 0. The change is n