12-8 Pulse Rate The following table lists pulse rates obtained from data set 1 B
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Question
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 ExplainExplanation / Answer
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 39Related Questions
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