The Professional Golfers' Association (PGA)wants to know which brand of golf ball goes the farthest when hit by a driver.Three brands of golf balls are compared by using "Iron Byron" to randomly hit each brand of ball five times.The total distance in yards is measured after each ball comes to rest.Calculate MST,MSE and the F-ratio.Can you reject H0 using α = 0.05? The ANOVA table is listed below. Analysis of Variance
Source Sum-of-Squares df Mean-Square F-ratio P-value
Brand 1405.375
Error 1467.556
Total 2872.931

Question

Quizplus · Accepted Answer

We can calculate MST by dividing the sum of squares for Brand by its degrees of freedom (df), which is 1405.375/2 = 702.688. To calculate MSE, we divide the sum of squares for Error by its degrees of freedom, which is (total sum of squares - sum of squares for Brand)/(total number of observations - number of brands) = (2872.931 - 1405.375)/(15-3) = 122.296. We can calculate the F-ratio by dividing MST by MSE, which is 702.688/122.296 = 5.746. The p-value associated with this F-ratio is less than 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant difference in the driving distance between at least two of the three golf ball brands.

The Professional Golfers' Association (PGA)wants to Know Which Brand of Golf