Asked by Leroy Jankins on Jun 07, 2024
Verified
The assumption(s) for 
to have an F-distribution is (are) :
A) random samples are drawn from each of two normal populations
B) the samples are independent
C) the variability of the measurements in the two populations is the same and can be measured by a common variance,
D) all of these are required assumptions
E) none of these
F-Distribution
A statistical distribution used primarily in the analysis of variance (ANOVA), describing ratios of variance across different datasets.
Random Samples
A sample drawn from a population in such a way that every member of the population has an equal chance of being included.
- Recognize the presumptions required for utilizing the F-distribution.
Verified Answer
SH
Sukey HuangJun 13, 2024
Final Answer :
D
Explanation :
All of these assumptions are required for to have an F-distribution. The F-distribution is only valid when random samples are drawn from each of two normal populations, the samples are independent, and the variability of the measurements in the two populations is the same and can be measured by a common variance. Without any of these assumptions, the F-distribution is not applicable.
to have an F-distribution. The F-distribution is only valid when random samples are drawn from each of two normal populations, the samples are independent, and the variability of the measurements in the two populations is the same and can be measured by a common variance. Without any of these assumptions, the F-distribution is not applicable.
Learning Objectives
- Recognize the presumptions required for utilizing the F-distribution.