1. The results of a national mathematics test for random samples of students taught by two different teachers at the same school are shown below. Can you conclude that there is a difference in the mean mathematics test scores for the students of the two teachers? Use a = 0.10. Assume the populations are normally distributed. Table 1 Teacher A |Teacher B $ =120 $1 =20.1 $2 =17.8 12 =20 Solution: (Step 1) Hypotheses: Ho: H.: (Step 2) Critical Value(s): -Tailed Test Rule of thumb: 0.5 s 1 5 2: Assume ] of = o; or o; * of a =0.10, df = feritical = (Step 3) Test Statistic: For of # o; 7 - T computed + computed= For of = 67 computed= (1 -1) $7 + (12 -1)$3 1 + 12-2 (1+1 + - 2 + -JCFor of = o; computed Subject Computed Critical / Value / Value Decision | Interpretation Critical Region: (Step 4) Decision: (Step 5) Conclusion