The following data were collected in an experiment designed to investigate the i

Question

The following data were collected in an experiment designed to investigate the impact of different positions of the mother during ultrasound on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study includes 20 women who are assigned to one position and have the fetal heart rate measured in that position. Each woman is between 28-32 weeks gestation. The data are shown below.

Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance.

Back Side Sitting Standing 140 141 144 147 144 143 145 145 146 145 147 148 141 144 148 149 139 136 144 145 Mean = 142 Mean = 141.8 Mean = 145.6 Mean = 146.8

Explanation / Answer

null hypothesis: all position have equal mean fetal heart rates

alternate hypothesis: at least two of the position have different fetal heart rates

applying one way ANOVA on abve

as p value is less then 0.05 level of significance we reject null hypothesis and conclude that  there is a significant difference in mean fetal heart rates by position

Groups Count Sum Average Variance Back 5 710 142 8.5 Side 5 709 141.8 12.7 Sitting 5 728 145.6 3.3 Standing 5 734 146.8 3.2 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 96.15 3 32.05 4.628159 0.016297 3.238872 Within Groups 110.8 16 6.925 Total 206.95 19

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