Using the data below, perform descriptive statistics analyses (mean, standard deviation, variance) for the brothers’ test....

Using the data below, perform descriptive statistics analyses (mean, standard deviation, variance) for the brothers’ test. Then, perform an Analysis of Variance (ANOVA) to determine if there is a significant difference between the brothers’ scores. Note: You may use Excel on your own or make an appointment to perform the test in SPSS

Test

Chapter 1, 2, 3&4 5 6 7 8&9 10 11&12 13 14

Chapter 1, 2, 3&4, 5, 6, 7, 8&9, 10, 11&12, 13, 14 (Jim) 85, 75, 68, 89, 72, 86, 79, 75, 85, 92, and 88

(Bill) 95, 86, 96, 93, 100, 95, 96, 99, 90, 93, and 80

(Rick) 75, 70 ,80, 62, 74, 85, 83, 77, 60, 85, and 92

(Dave) 100, 90, 90, 97, 95, 94, 93, 92, 91, 90, and 89

(Dan) 70, 80, 76, 71, 64 ,85, 70, 76, 75, 46, and 50

Solutions

Expert Solution

NULL HYPOTHESIS H0:

ALTERNATIVE HYPOTHESIS Ha: Not all means are equal.

alpha=0.05

Test statistic F=16.821

P value=0.000

Since P value SMALLER than the level of significance therefore SIGNIFICANT.

Decision: DO NOT REJECT H0.

Conclusion: WE HAVE SUFFICIENT EVIDENCE TO CONCLUDE THAT THE MARKS OBTAINED BY BROTHERS ARE DIFFERENT.

orchestra answered 1 year ago

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