128 Pulse Rate The following table lists pulse rates obtaine

12-8 Pulse Rate The following table lists pulse rates obtained from data set 1 Body Measurements Male/Female. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What do you conclude? Under 30 Years of Age Over 30 Years of Age Female 78 104 78 64 60 98 82 98 90 96 76 76 72 66 72 78 62 72 74 56 Male 60 80 56 68 68 74 74 68 62 56 46 70 62 66 90 80 60 58 64 60 Are pulse rates affected by an interaction between gender and age? Explain. Are pulse rates affected by gender? Explain. Are pulse rates affected by age Explain

Solution

sol)

From the Excel TWO WAY ANOVA

a) )

Null Hyp: The pulse rates are not effected by an interaction b/w gender and age

Alt Hyp: The pulse rates are effected by an interaction b/w gender and age

Level:5%

From above analysis

F cal of interaction is 3.68 andd F critical value=4.11 at 5% level

Hence we conclude that F cal< F critical. we accept the null hyp

CONCLUSION:The pulse rates are not effected by an interaction b/w gender and age

b)

Null Hyp: The pulse rates are not effected by gender

Alt Hyp: The pulse rates are effected by gender

Level:5%

From above analysis

F cal for gender= 4.87 andd F critical value=4.11 at 5% level

Hence we conclude that F cal > F critical. we reject the null hyp

CONCLUSION:The pulse rates are effected by gender.

c)

Null Hyp: The pulse rates are not effected by age

Alt Hyp: The pulse rates are effected by age

Level:5%

From above analysis

F cal for age= 10.862 andd F critical value=4.11 at 5% level

Hence we conclude that F cal > F critical. we reject the null hyp

CONCLUSION:The pulse rates are effected by age.

Anova: Two-Factor With Replication
SUMMARY	Females	males	Total
under 30
Count	10	10	20
Sum	848	666	1514
Average	84.8	66.6	75.7
Variance	224.1778	64.93333	224.1158
over 30
Count	10	10	20
Sum	704	656	1360
Average	70.4	65.6	68
Variance	48.71111	149.1556	99.78947
Total
Count	20	20
Sum	1552	1322
Average	77.6	66.1
Variance	183.8316	101.6737
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Sample	592.9	1	592.9	4.870037	0.03379	4.113165
Columns	1322.5	1	1322.5	10.86292	0.002211	4.113165
Interaction	448.9	1	448.9	3.687232	0.06278	4.113165
Within	4382.8	36	121.7444
Total	6747.1	39