Asked by Nitin Channa on Apr 23, 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. 
What is the value of the F statistic for testing the main effect of gender?
A) 0.01
B) 0.29
C) 5.32
D) 81.49
F Statistic
A ratio of two variances that is used in ANOVA or regression analysis to assess the significance of group differences or the contribution of predictor variables.
Main Effect
The primary effect of an independent variable on a dependent variable in an experimental or observational study.
Gender
A social construct that refers to the roles, behaviors, activities, expectations, and norms considered appropriate for individuals based on their perceived sex.
- Acquire the competence to compute and analyze the F-statistic within the framework of two-way ANOVA.
Verified Answer
ZK
Zybrea KnightMay 02, 2024
Final Answer :
B
Explanation :
The F statistic for testing the main effect of gender is found in the row labeled "gender" and has a value of 0.29. This means that the difference in mean heart rates between men and women is not statistically significant at the alpha=0.05 level.
Learning Objectives
- Acquire the competence to compute and analyze the F-statistic within the framework of two-way ANOVA.