Please answer question #2 in this document.

1. To test whether different professors were harder or easier graders, a group of students submitted the same report to four different profs and recorded the mark given to each essay by each professor. The IV is professor, the DV is grade (as a percentage of 100). In the table below, has the assumption of sphericity been met? Please report your findings in APA format. Answer: Mauchly's test indicated that there is significant deviation from sphericity (x2 = 11.628, p = .043). Mauchly's Test of Sphericity df Measure: Measure I Within Mauchly's Subjects W Effect Tutor 131 Approx. Chi-Square Sig. Greenhouse- Geisser Huynh- Feldt Lower- bound 11.628 5 .043 .558 .712 .333 2. Based on the answer in Question 1, please provide an interpretation of the Test of Within- Subjects Effects Table below in APA format. Source df F. Sig. Tutor Sphericity Assumed Greenhouse-Geisser Huynh-Feldt Lower-Bound Type III Sum of Squares 554.125 554.125 554.125 554.125 3 1.673 2.137 1.000 Mean Square 184.708 331.245 259.329 554.125 3.700 3.700 3.700 3.700 .028 .063 .047 .096 Partial Eta Squ. .346 .346 .346 .346 Error (WL) Sphericity Assumed Greenhouse-Geisser Huynh-Feldt Lower-Bound 1048.375 1048.375 1048.375 1048.375 21 11.710 14.957 7.000 49.923 89.528 70.091 149.768 1. To test whether different professors were harder or easier graders, a group of students submitted the same report to four different profs and recorded the mark given to each essay by each professor. The IV is professor, the DV is grade (as a percentage of 100). In the table below, has the assumption of sphericity been met? Please report your findings in APA format. Answer: Mauchly's test indicated that there is significant deviation from sphericity (x2 = 11.628, p = .043). Mauchly's Test of Sphericity df Measure: Measure I Within Mauchly's Subjects W Effect Tutor 131 Approx. Chi-Square Sig. Greenhouse- Geisser Huynh- Feldt Lower- bound 11.628 5 .043 .558 .712 .333 2. Based on the answer in Question 1, please provide an interpretation of the Test of Within- Subjects Effects Table below in APA format. Source df F. Sig. Tutor Sphericity Assumed Greenhouse-Geisser Huynh-Feldt Lower-Bound Type III Sum of Squares 554.125 554.125 554.125 554.125 3 1.673 2.137 1.000 Mean Square 184.708 331.245 259.329 554.125 3.700 3.700 3.700 3.700 .028 .063 .047 .096 Partial Eta Squ. .346 .346 .346 .346 Error (WL) Sphericity Assumed Greenhouse-Geisser Huynh-Feldt Lower-Bound 1048.375 1048.375 1048.375 1048.375 21 11.710 14.957 7.000 49.923 89.528 70.091 149.768