Question 1
Entering and analyzing data
1a. Ho: (in words)
There is no significant difference between scores in terms of plan type. In other words, scores do not change by plan type. Scores are equal for each of plan.
1b. H1: (in words)
There is a significant difference between scores by plan type. At least one group is different from the others. In other words, scores differ by groups (in here “plan”).
1c. What type of design was used to collect and analyze the data?
Simple analysis of variance (One Way ANOVA)
1d. Obtained F = 3.924 with 0.032 p-value.
1e. Decision about null hypotheses:
F critical value for df: (2,27) at 0.05 alpha is equal to 3.35. F obtained is greater than F critical. Therefore, we can reject the null. (Also, p-value is 0.032 less than 0.05 that means rejections of the null.)
1f. What verbal conclusions can be made about the reactions to the three different scenarios? If there is an effect, is it practically significant? Be specific and indicate the source of your conclusions.
Since the null hypothesis is rejected, there is a significant effect of plan types. According to descriptive statistics, the average scores by plans are 26.9, 33.2 and 22.9 respectively. As we can see, mean scores are different and these findings are significant at 0.05 level. This indicates that at least two groups (plan1-plan2 or plan1-plan3 or plan2-plan3) are different from each other. In order to see which groups are significantly different, I conducted Tukey Test and found that only scores of Plan 2 and Plan 3 are significantly different (p-value is equal to 0.026 and significant at 0.05 level). All SPSS tables are given in Attachment-1.

Entering and analyzing data
2a. Ho: (in words)
There is no overall significant difference between the means of scores at the different plans. Scores do not differ by plan. Plan type has no effect on the scores. There is no significant change in scores at plan 1, plan 2 and plan 3.
2b. H1: (in words)
There is an overall significant difference between the means of scores at the different plans. Score are not equal. Plan type has a significant effect on the scores.
2c. What type of design was used to analyze the data?
Repeated measures analysis of variance (One-way).
2d. Obtained F = 9.843 (Wilks’ Lambda – Multivariate Test

6. Denote by [x] the greatest integer not exceeding x. For the pdf...