Question

A statistics instructor measured student attitudes toward a statistics course prior to lectures, at the middle, and after the final parts of class. Attitudes were measured on a 16-point scale, with higher scores indicating more positive attitudes toward the statistics course.

Student	Prior to Lectures	At the middle	After the Final
A	6	5	12
B	4	9	15
C	8	12	13
D	12	11	15
E	5	6	9

Based on the results shown in the table, test whether or not attitudes differed using the Friedman test at a 0.05 level of significance. (Round your answer to two decimal places.)
=

Answer 1

using excel>data>two way ANOVA

we have

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
A	3	23	7.666667	14.33333
B	3	28	9.333333	30.33333
C	3	33	11	7
D	3	38	12.66667	4.333333
E	3	20	6.666667	4.333333
Prior to Lectures	5	35	7	10
At the middle	5	43	8.6	9.3
After the Final	5	64	12.8	6.2
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Students	71.06667	4	17.76667	4.594828	0.032033	3.837853
lecture time	89.73333	2	44.86667	11.60345	0.004319	4.45897
Error	30.93333	8	3.866667
Total	191.7333	14

the value of F stat is 459 which is greater than 383 so we conclude that attitudes differed