Question

(20) 1. Complete the ANOVA table (9 points), state the null and alternate hypothesis in symbols and in words (6 points). Copy the results using technology and use words to describe how f relates to the p value and what the results indicate (5 points).

Girls from four different soccer teams are to be tested for mean goals scored per game. The entries in the table are the goals per game for the different teams as shown in the table below. Use technology to complete the ANOVA table and determine if the means are equal.

Team 1	Team 2	Team 3	Team 4
1	2	4	3
2	4	2	2
0	3	4	4
0	4	5	3
2	4	4	2

(9) 1A. Complete the ANOVA table.

Source of Variation	Sum of Squares (SS)	Degrees of Freedom (df)	Mean Squares (MS)	F = MSfactor – MSerror
Factor (between)	___	___	___	___
Error (within)	___	___	___
Totals	___	___

(6) 1B.(1) a. State the null hypothesis in symbols:

(2) b. State the null hypothesis in words:

(1) c. The alternate hypothesis in symbols:

(2) d. The alternate hypothesis in words:

(5) 1C. (1) a. Copy the results using technology. (Use extra space as needed.)

(1) b. State how f relates to the p value.

(1) c. Graph the f distribution relating the f and p values on the graph.

(2) d. State what the results indicate about the mean goals scored.

Answer 1

1a)

Ho : all population means are equal

1b)

Ho: µ1=µ2=µ3=µ4

1c)
H1: not all means are equal

....

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
team1	5	5	1	1
team2	5	17	3.4	0.8
team3	5	19	3.8	1.2
team4	5	14	2.8	0.7
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	22.95	3	7.65	8.27027	0.001503	3.238872
Within Groups	14.8	16	0.925
Total	37.75	19

F stat = 8.27

p value = 0.0015 excel fun=FDIST(fstat ,df1,df2)

p value > 0.05, reject Ho

there is sufficient evidence to say that atleast one mena is different than others

.....................

Please let me know in case of any doubt.

Thanks in advance!

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