Question

QUESTION 1 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 24 23 25 26 25 27 28 21 24 28 19 16 24 Is there a significant difference in mean fetal heart rates by position? Run the test at a 5% level of significance. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available. TTT Arial .3(12pt) • T.E.E. . Chick Save and submit to save and submit. Click Save All Answers to see all answers Save All Answers Close

Answer 1

Part 1.

Ho: There is no significant difference in mean fetal hearts rates by position

H₁: There is significant difference in mean fetal hearts rates by position

Part 2.

One way ANOVA using Minitab:

lick Stat > ANOVA > One-Way... on the top menu, as shown below:

lick Stat > ANOVA > One-Way... on the top menu, as shown below:

Eile Edit Data Calc Stat Graph Editor Tools Window Help Assistant Basic Statistics O SO O SOBA Regression VIA TOOM ANOVA One-Way... DOE Analysis of Means.. One-Way Control Charts Balanced ANOVA... Differer Determine whether the means of two Music of Med Quality Tools General Linear Model or more groups differ. Music - No -5.6 Reliability/Survival Fully Nested ANOVA... No music Multivariate General MANOVA... Time Series Music = Music - No Tables Test for Equal Variances... Difference Nonparametrics Interval Plot... Music of Means Main Effects Plot... No music Equivalence Tests -2.950 Power and Sample Size

You will be presented with the following One-Way Analysis of Variance dialogue box:

N . Minitab - Untitled - [Worksheet 1 ***] file Edit Data Calc Stat Graph Editor Tools Window Help Assistant 100% 2003 SOGO2018|SOOG w 3-A3X2 y h 8+ PEINXIQ Th TOO LOM + C1 C2 C3 C4 One-Way Analysis of Variance Back Side Sitting Standing ci Back Response data are in a separate column for each factor level Side 1 2021 2426 C3 Sitting c4 Standing Responses: - 24 23 25 25 Back Side Sitting Standing - 26 25 27 28 21 24 28 19 16 24| c2 Options... Comparisons... / Graph... Select Results... Storage... Help OK Cancel

Click on the OK button. The output that Minitab produces is shown below.

One-way ANOVA: Back, Side, Sitting, Standing Method Null hypothesis All means are equal Alternative hypothesis At least one mean is different Significance level a = 0.05 Equal variances were assumed for the analysis. Factor Information Factor Levels Values Factor 4 Back, Side, Sitting, Standing Analysis of Variance Source DF Adj ss Adj MS Factor 3 90.80 30.267 Error 16 111.20 6.950 Total 19 202.00 F-Value 4 .35 P-value 0.020

Part 3. P-value 0.020 < 0.05 so we reject the null hypothesis and we conclude that there is significant difference in mean fetal rates by position.