Asked by De Onte McKelvin on Jun 02, 2024
Verified
The F-distribution is the sampling distribution of the ratio of:
A) two normal population variances
B) two normal population means
C) two sample variances provided that the samples are independently drawn from two normal populations with equal variances
D) two sample variances provided that the sample sizes are large
E) none of these
F-Distribution
A probability distribution used in analysis of variance that helps to determine if the means of several populations are equal.
Normal Population Variances
The variances of populations that follow a normal (Gaussian) distribution.
- Gain insight into the attributes and employment of the F-distribution for statistical analysis purposes.
Verified Answer
GM
Gafayat MoradeyoJun 03, 2024
Final Answer :
C
Explanation :
The F-distribution is the sampling distribution of the ratio of two sample variances provided that the samples are independently drawn from two normal populations with equal variances. Therefore, choice C is the correct answer. Choices A and B refer to the normal distribution and not the F-distribution. Choice D is incorrect because there is no mention of the sample sizes being large. Choice E is incorrect because one of the choices (C) is correct.
Learning Objectives
- Gain insight into the attributes and employment of the F-distribution for statistical analysis purposes.