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 15 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:

1. Back: 140 144 146 141 139= 710

2. Side: 141 143 145 144 136= 709

3. Sitting: 144 145 147 148 144= 728

Indicate the correct competing hypotheses:

Indicate the decision rule.Indicate the mean of Group 1.

Indicate the mean of Group 2.

Indicate the mean of Group 3.

Indicate the overall mean.

Indicate the Between Groups Sums of Squares (SSB,).

Compute Error Sums of Squares For Each Group:

Complete the ANOVA table:

True or false: We have statistically significant evidence at α=0.05 to show that there is a significant difference in mean SBP among the treatment groups

Answer 1

applying ANOVA on above data:

Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	45.73	2	22.87	2.80	0.1005	3.89
Within Groups	98.00	12	8.17
Total	143.73	14

correct competing hypotheses: :Ho:All the means are same.

Ha: not all the means are same

decision rule :reject HO if F>3.89

mean of Group 1 =710

mean of Group 2 =709

mean of Group 3 =728

Between Groups Sums of Squares =45.733

Error Sums of Squares =98.000

False