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 on fetal heart rate. Fetal heart rate is measured by ultrasound in beats per minute. The study included 20 women who were assigned to one position and had the fetal heart rate measured in that position. Each woman was between 28-32 weeks gestation. The data are shown below.  

Back

Side

Sitting

Standing

20

21

24

26

24

23

25

25

26

25

27

28

21

24

28

29

19

16

24

25

Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. 1) Write out the appropriate null hypothesis and the alternative hypothesis; 2) Calculate the test statistic; 3) Give your conclusion including a comparison to alpha or the critical value.

Back

Side

Sitting

Standing

20

21

24

26

24

23

25

25

26

25

27

28

21

24

28

29

19

16

24

25

Explanation / Answer

In order to test the difference in mean fetal heart rates by position, we perform ANOVA analysis. Below are the null and alternate hypothesis

H0: All menas of fetal heart rates by position are same

H1: At least two means of fetal heart rates by position are different

Below is the result of ANOVA analysis

As p-value = 0.02 is less than significance level of 0.05, we reject the null hypothesis.

This means there is significant difference in at least two means of fetal heart rates by postition.

Groups Count Sum Average Variance Back 5 110 22 8.5 Side 5 109 21.8 12.7 Sitting 5 128 25.6 3.3 Standing 5 133 26.6 3.3

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