Administration wants to determine if student performance in mathematics differs

Question

Administration wants to determine if student performance in mathematics differs significantly by class period or by teacher. 4 teachers were evaluated over the 7 periods they teach.

At a 0.05 significance level, can you conclude that there is a difference in the mean math score by class or by teacher?Use the six steps of hypothesis testing and MS Excel in completing the analysis.For credit you must show these!

Class T1 90 90 85 72 92 85 90 T2 87 78 84 85 95 75 93 79 83 80 90 82 84 79 T4. 80 76 62 62 82 62

Explanation / Answer

null hypothesis: student have equal score irrespective of teacher and class

alternate hypothesis :student have differnt score for at least one class or teacher

level of significance=0.05

from above given data: excel-data-data analysis kit-two way ANOVA without replication

from above p value for class is above 0.05 hence there is no significant effect of class

for p value is less then 0.05 for teacher there fore we reject null hypothesis and conclude that   there is a difference in the mean math score by teacher

SUMMARY Count Sum Average Variance 1 4 336 84 28.66667 2 4 327 81.75 38.91667 3 4 311 77.75 114.9167 4 4 309 77.25 160.9167 5 4 351 87.75 45.58333 6 4 316 79 42 7 4 324 81 196.6667 T1 7 604 86.28571 46.90476 T2 7 597 85.28571 52.90476 T3 7 577 82.42857 14.95238 T4 7 496 70.85714 78.47619 ANOVA Source of Variation SS df MS F P-value F crit Rows 333.7143 6 55.61905 1.212457 0.344897 2.661305 Columns 1057.286 3 352.4286 7.682699 0.001643 3.159908 Error 825.7143 18 45.87302 Total 2216.714 27

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