tomant a statistics course prior to lectures, at the midtenm, and after the fina

Question

tomant a statistics course prior to lectures, at the midtenm, and after the final ea nocesunst on a lpont swalt w ig oes Inlcating oetbward the statistics course 14 12 Based on the resuts shown in the table, est whether or not attitudes difered uning the Friedman test at a o.05 level of significance. (Round your answer to two decimal places.) State whether to retain or reject the null hypothesis Retain the null hypothesls Reject the nutl hypothesis You may need to use the appropriate table in Appendix B to answer this question Additional Materials

Explanation / Answer

Here

Null Hypothesis : Attitude of any student doesn't ddiffer across different times

ALtrnative Hypothesis : Atititude of any student differ across different times

Obesereved table

Rank each column separately. The smallest score should get a rank of 1. I am ranking across rows here so each patient is being ranked a 1, 2, or 3 for each treatment.

Test statistisc Here

X2R = [12/ (N * k * (k+1)] * R2 - [3 * N * (k + 1)]

= [12 * (82 + 72 + 152)/ (5 * 3 * (3 + 1)] - [3 * 5 * (3 + 1)]

= [12 * 338/60] - 60

= 7.6

for alpha = 0.05, N = 5 and k = 3

Here critical value = 6.40

so here

X2R > critical value so we will reject the null hypothesis.

Student Prior to lectures At the midterms After the final A 6 5 10 B 4 10 14 C 8 7 14 D 12 11 16 E 5 7 10

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