Asked by Angel Barrancaa on Jun 09, 2024
Verified
In testing for the equality of two population variances, when the populations are normally distributed, the 10% level of significance has been used. To determine the rejection region, it will be necessary to refer to the F table corresponding to an upper-tail area of:
A) 0.90
B) 0.05
C) 0.20
D) 0.10
E) 0.85
Level of Significance
The threshold for rejecting the null hypothesis in a statistical test, often set at a value like 0.05 or 0.01.
F Table
A table used in statistics for finding critical values of the F-distribution, important in analysis of variance (ANOVA) testing.
- Distinguish between different statistical distributions used for variance and mean comparison.
- Recognize the critical values and significance levels in hypothesis testing for variances.
Verified Answer
MS
Muhammad SaeedJun 15, 2024
Final Answer :
B
Explanation :
For testing the equality of two population variances, we use the F-test. The F-test has two degrees of freedom: one for the numerator and one for the denominator. To determine the rejection region, we need to refer to the F table corresponding to the level of significance and degrees of freedom. In this case, we have a 10% level of significance, which means we have a 5% significance level in each tail (since it's a two-tailed test). Therefore, we need to refer to the F table for an upper-tail area of 0.05, which corresponds to answer B.
Learning Objectives
- Distinguish between different statistical distributions used for variance and mean comparison.
- Recognize the critical values and significance levels in hypothesis testing for variances.