The reaction times of three groups of sportsmen were measured on a particular task, with the following results (time in milliseconds): Racing drivers 31 28 39 42 36 30 Tennis players 41 35 41 48 44 39 38 Boxers 44 47 35 38 51 Test whether there is a difference in reaction times between the three groups.

The answer is summarised in this Excel table: SUMMARY Groups Count Sum Average Variance Racing drivers 6 206 34.333 30.667 Tennis players 7 286 40.857 17.810 Boxers 5 215 43 42.5 ANOVA Source of variation SS df MS F P-value F crit Between groups 233.421 2 116.710 4.069 0.039 3.682 Within groups 430.190 15 28.679 Totals 663.611 17 The result shows that there is a difference between the three groups, with an F statistic of 4.069 (P value 3.9%). The difference appears to be largely between racing drivers and the other two types.

Question 6.EX.6: The reaction times of three groups of sportsmen were measure...

Statistics for Economics, Accounting and Business Studies

The reaction times of three groups of sportsmen were measured on a particular task, with the following results (time in milliseconds):

Racing drivers	31	28	39	42	36	30
Tennis players	41	35	41	48	44	39	38
Boxers	44	47	35	38	51

Test whether there is a difference in reaction times between the three groups.

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The answer is summarised in this Excel table:

SUMMARY
Groups	Count	Sum	Average	Variance
Racing drivers	6	206	34.333	30.667
Tennis players	7	286	40.857	17.810
Boxers	5	215	43	42.5

ANOVA
Source of variation	SS	df	MS	F	P-value	F crit
Between groups	233.421	2	116.710	4.069	0.039	3.682
Within groups	430.190	15	28.679
Totals	663.611	17

The result shows that there is a difference between the three groups, with an F statistic of 4.069 (P value 3.9%). The difference appears to be largely between racing drivers and the other two types.