Question

2017-2018 Goals

49

44

43

42

42

41

40

40

39

39

39

37

36

36

35

35

34

34

34

34

2012-2013 Goals

32

29

28

26

23

23

23

22

22

21

21

21

20

20

20

19

19

18

18

18

2007-2008 Goals

65

52

50

47

43

43

42

41

40

40

38

38

36

36

35

34

34

33

33

32

Given the above three sets of data, we want to compare the three seasons using the ANOVA. Answer the following questions:

1. Using proper notation, write the null and alternative hypothesis statements.

2. In the context of the problem posed, interpret the results of the test and make a conclusion about the hypotheses.

****You must be provide concise explanations in your solutions****

Answer 1

One-way ANOVA: 2007-2008 Goals, 2012-2013 Goals, 2017-2018 Goals

Method

1)

Null hypothesis : All means are equal
Alternative hypothesis :  At least one mean is different
Significance level :α = 0.05

Equal variances were assumed for the analysis.

Source DF Seq SS Contribution Adj SS Adj MS F-Value P-Value
Factor 2 4110 69.14% 4110 2054.85 63.87 0.000
Error 57 1834 30.86% 1834 32.17
Total 59 5944 100.00%

2)

Where P-value is less than 0.05 So we reject H0 .so we may conclude that there is at least one mean is different.

---------------------------------------------------------------------------------------------------------------------------------------------------------------