Stat sheet prep

HW 4 Student’s Name University Course Professor Date HW 4 Due 13/11/ Time: 11:59 pm Name: …………………………… ID: …………………. 1 A certain department at a certain university has been accused of “grade inflation” (this means: majors in this department have much higher GPAs than students in general). So GPAs of all the department major should be compared with the GPA’s of all students. However, there are too many students in this department, how can the dispute be investigated without interviewing all the department majors. The average GPA for all students is 2.5 A random sample of 49 students of the department gave the following results Sample mean = 3.0 Sample standard deviation = 0.05 Use significance level = 0.10. Test the claim that the department has “grade inflation” H0: …the average GPA means for students in the department majors is equal to 2.5 H1: … the average GPA mean for the students in the department majors is higher than 2.5 Test Statistic: … calculating test statistics (using the one-tailed test); z= x-H0xs/√n Where; Z=test statistic X= sample mean H0x = H0 mean S=standard deviation n= sample population z= x-H0xs/√n z= 3.0-2.50.05/√49=70.02 Decision ... statistically, the critical value for a one tailed test at ...