Based on the computer output below, please answer the following ANOVA: score ver

Question

Based on the computer output below, please answer the following ANOVA: score versus course, clubs Factor Type Levels Values course fixed 3 1.2,3 clubs fixed 21,2 Analysis of Variance for score Source DF SSMS FP course 2 44.444 22.222 8.70 0.004 clubs Error 1 9.389 9.389 3.67 0.076 14 35.778 2.556 Total 17 89.611 s-1.59861 R-Sq-60.07% R-Sq(adj)-51.52% a. Does the course affeet the score a-0.05? b. Does the club affect the score at -0.05? Does the club affect the score at -0.1? d. How many factors we have? e. What are the levels for these factors? f. What is the number of replications? g. Is the model adequate (Hint: Examine the residual plots?) Residual Plots for score Normal Probability Plot Versus Fits 10 91 Residual Fitted Value Histogram Versus Order 2 4 6810 12 14 16 18 Residual Observation Order

Explanation / Answer

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When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 and interpreted in the following way: A small p-value (typically 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

a) Course p value = 0.004

p < alpha (0.05)

Null is rejected. Thus, it affects the score.

b)

Club p value = 0.076

p > alpha (0.05)

Null is not rejected. Thus, it doesn't affect the score.

c)

Club p value = 0.076

p < alpha (0.01)

Null is rejected. Thus, it affects the score.

d) We have 2 factors

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