Researchers compared two groups of female competitive rowers: a group of skilled rowers and a group of novices. The researchers measured many mechanical aspects of rowing style as the subjects rowed on a Stanford Rowing Ergometer. One important variable is the angular velocity of the knee, which describes the rate at which the knee joint opens as the legs push the body back on the sliding seat. The data shows no outliers or extreme skewness. Here is the computer output: TTEST PROCEURES Variable: KNEE GROUP N Mean Std Dev Std Error SKILLED 10 4.18283335 0.47905935 0.15149187 NOVICE 8 3.01000000 0.95894830 0.33903942 Variances T DF Prob>|T| Unequal 3.1583 9.8 0.0104 Equal 3.3918 16.0 0.0037 The researchers believed that the knee velocity would be higher for skilled rowers. Use the computer output to carry out an appropriate test of this belief. (Note: the computer output provides two-sided P-values). Calculate and interpret a 90% confidence interval for the mean difference between the knee velocities of skilled and novice female rowers.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
- Researchers compared two groups of female competitive rowers: a group of skilled rowers and a group of novices. The researchers measured many mechanical aspects of rowing style as the subjects rowed on a Stanford Rowing Ergometer. One important variable is the angular velocity of the knee, which describes the rate at which the knee joint opens as the legs push the body back on the sliding seat. The data shows no outliers or extreme skewness. Here is the computer output:
TTEST PROCEURES
Variable: KNEE
GROUP N Mean Std Dev Std Error
SKILLED 10 4.18283335 0.47905935 0.15149187
NOVICE 8 3.01000000 0.95894830 0.33903942
Variances T DF Prob>|T|
Unequal 3.1583 9.8 0.0104
Equal 3.3918 16.0 0.0037
- The researchers believed that the knee velocity would be higher for skilled rowers. Use the computer output to carry out an appropriate test of this belief. (Note: the computer output provides two-sided P-values).
- Calculate and interpret a 90% confidence interval for the mean difference between the knee velocities of skilled and novice female rowers.
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