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Four girls soccer teams took a random sample of players regarding the number of goals scored per game. The results are below. Use a significance level of 5% to determine if there is a difference in the average number of goals scored per game. Team 1Team 2Team 3Team 4 1203 2314 0214 3403 2402

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H o : µ 1 =µ 2 =µ 3 =µ 4 Ha: Not all of the means are equal Determine the distribution to be used. This is an F distribution. F ~ F 3,16 df(num) = k – 1 = 4 – 1 = 3 df(denom) = n – k = 20 – 4 = 16

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Calculate the test statistic: F = 10.40 Enter data into L1 (Team 1), L2 (Team 2), L3 (Team 3), L4 (Team 4) Access STATS, ANOVA. Calculator will show ANOVA(. Type L1,L2,L3,L4) Press Enter. Probability statement: p-value = P(F > 10.40) = 0.0005 (4.8534 X 10 -4 ) Decision: Because α > pvalue, we DO reject the null hypothesis. Conclusion: There IS sufficient evidence to conclude that there is a difference among the mean number of goals scored per game for the teams.

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Section 7-2 Hypothesis Testing for the Mean (n 30)

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