Question

Using the data in Ch.13 Data Set 2 and SPSS, compute the F ration for a comparison among the three levels representing the average amount of time that swimmers practice weekly (<15, 15-25, and >25), with the outcome variable being their time for the 100-yard freestyle. Answer the question of whether practice time makes a difference. Don't forget to use the options feature to get the means for the groups.

(You will be using a One-Way ANOVA to determine if there is a statistically significant difference between the 3 groups of practice times)

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Answer 1

The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are equal

The means for the three groups are 58.05 seconds, 57.96 seconds, and 59.03 seconds, and the probability of this F value [F(2, 33) = .160] occurring by chance is .853, far above what we would expect due to the treatment.

The p-value is 0.853.

Since the p-value (0.853) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a statistically significant difference between the 3 groups of practice times.