Asked by Jonathan Miller on Jun 02, 2024
Verified
A researcher wished to compare the effect of the different rates of stepping on volunteers' heart rates in a step-aerobics workout.A collection of thirty adult volunteers,fifteen women and fifteen men,were selected from a local gym.The men were randomly divided into three groups of five subjects each.Each group did a standard step-aerobics workout,with Group 1 at a low rate of stepping,Group 2 at a medium rate of stepping,and Group 3 at a rapid rate.The women were also randomly divided into three groups of five subjects each.As with the men,each group did a standard step-aerobics workout,with Group 1 at a low rate of stepping,Group 2 at a medium rate of stepping,and Group 3 at a rapid rate.The mean heart rate at the end of the workout for all the subjects was determined in beats per minute. A partial ANOVA table for these data is given below. 
The profile plot and the P-value for the test for interaction show little evidence of interaction.What can we conclude?
A) There is little difference in the heart rates of men and women.
B) The change in heart rate due to different stepping rates is similar for men and women.
C) Changes in stepping rate are positively associated with heart rate.
D) Step exercise is equally beneficial to men and women.
Profile Plot
A graphical representation of the interaction patterns between treatments and quantitative measurements across various conditions or time points.
P-value
The chance that test outcomes as extreme as or more than the observed results will occur, assuming the null hypothesis is true.
Interaction
In statistics, the effect of two or more variables is not simply additive, meaning their combined effect is different from what would be expected based on their separate effects.
- Understand the methodology for calculating and interpreting P-values within the scope of ANOVA.
- Understand the significance and consequences of main effects and interaction effects in Analysis of Variance (ANOVA).
- Utilize Analysis of Variance (ANOVA) to examine the impact of various factors on a dependent variable.
Verified Answer
EO
Eddie OlivaJun 03, 2024
Final Answer :
B
Explanation :
The lack of evidence for interaction suggests that the effect of different stepping rates on heart rate is similar for both men and women. This indicates that the change in heart rate due to stepping is not affected by gender. We cannot conclude anything about the other options based on the given information.
Learning Objectives
- Understand the methodology for calculating and interpreting P-values within the scope of ANOVA.
- Understand the significance and consequences of main effects and interaction effects in Analysis of Variance (ANOVA).
- Utilize Analysis of Variance (ANOVA) to examine the impact of various factors on a dependent variable.