Three sections of statistics were randomly selected. From those a random selecti

Question

Three sections of statistics were randomly selected. From those a random selection of 10 point quiz scores was chosen. The following table shows those scores. Test the claim that the population of all three sections scored about the same average. Use a .025 of significance. H_0: mu_A = mu_B = mu_C a) H_a: Not all the means are the same. b) test statistics: c) F-critical value: d) H_0 is Accepted/Rejected (circle one) e) The quiz scores, on the average, appear to be about the same. Yes/No (circle one)

Explanation / Answer

By using excel we can solve this question easily.

First enter all data in excel.

Click on Data -------> Data Analysis--------> Anova: Single Factor ----> Input Data -------> Select all data -------> Output Range : Select any empty cell --------> ok.

We get

b) Test statistic is F = 1.07

c) Critical value = 6.542

d) Critical value > test statistic we fail to reject null hypothesis.

e) Yes the quiz on the average appear to be about the same.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 3 24 8 1 B 3 19 6.333333 12.33333333 C 4 19 4.75 10.91666667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 18.18333 2 9.091667 1.071107994 0.392792 6.54152 Within Groups 59.41667 7 8.488095 Total 77.6 9

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