Question

This requires you to conduct a one-way analysis of variance.

Data are given to you on the times (in minutes) of athletes competing in a Triathlon for a random sample of athletes using five different training programs.

a.) Conduct an appropriate test to determine if there are significant differences in the times for the different training programs.

b.) Present the results of the analysis and interpret them.

Circuit	Free weights	Isometrics	Meditation	Land and Sea
200	260	175	260	247
255	243	250	255	249
304	258	208	265	251
264	263	273	257	247
250	267	257	268	309
265	204	264	263	245
245	302	233	247	249
250	250	254	286	260
266	248	268	251	217
246	145	252	252	208
251	254	256	266	228
304	275	265	264	253
248	270	252	210	295
243	203	245	236	222
221	222	235	225	221
223	230	216	230	197
220	225	241	232	281

Answer 1

a.) Conduct an appropriate test to determine if there are significant differences in the times for the different training programs.?

Using Excel’s data analysis tool we see that p-value = 0.856772 > .05, and so we cannot reject the null hypothesis and conclude there is no significant difference between the means of the five different training methods.

b) b.) Present the results of the analysis and interpret them.

One way analysis is possible in excel data analysis through one way Anova single factor statistics

1. Go to data tab --> choose data analysis --> slect ANOVA single factor