Question

Is there a statistically significant difference in mean scores between any of the following groups? Calculate and report the mean for each group. If one or more mean differences exist, please identify the groups with significantly different means. Use the most appropriate statistical test to answer this question at the alpha = 0.05 level of significance. Identify the hypothesis statements, test statistic, p-value, and your decision.

Group	Score
1	12
1	15
1	18
1	24
1	25
1	21
1	16
2	33
2	35
2	45
2	55
2	44
2	36
2	45
3	65
3	77
3	88
3	67
3	56
3	45
3	67
4	12
4	26
4	33
4	55
4	77
4	89
4	35

Answer 1

I have feed the above data in spss software the answer are given below

the hypothesis are

H0: The all means are same

H1: The all means are not same

From the above one way anova table

test statistic value of F is 10.125

From the above output the p value is 0.0001

the level of significance is 0.05

the p value is less then level of significance H0

means the all means are not same

from above iutput of tukeys method

comparing 1 and 2 group they are same becouse p value is grat er than level of significance

comparing 1 and 3 group and comparing 1 and 4 group their means are different becouse pvalue is less than level of significance

comparing 2 and 3 group they are different becouse p value is less than level of significance

comparing 2 and 1 group and comparing 2 and 4 group their same becouse p value is grat er than level of significance

comparing 3 and 1 group and comparing 3 and 2 group their means are different becouse pvalue is less than level of significance

comparing 3 and 4 group they are same becouse p value is grat er than level of significance

comparing 4 and 1 group they are same becouse p value is grat er than level of significance

comparing 4 and 2 group and comparing 4 and 3 group their means are different becouse pvalue is less than level of significance