The manager of the Public Broadcasting System for Tennessee is considering changing from the traditional weeklong contribution campaign to an intensive one-day campaign. In an effort to better understand current donation patterns, she is studying past data. A staff member from a neighboring state has speculated that male viewers' donations have greater variability in amount than do those of females. To test this, random samples of 25 men and 25 women were selected from people who donated during last year's telethon. The following statistics were computed from the sample data: Male x₁ = 12.40 S₁ = 2.50 Female x₁ = 8.92 S₂ = 1.34 Based on a significance level of 0.05, does it appear that male viewers' donations have greater variability in amount than do those of female viewers?
The manager of the Public Broadcasting System for Tennessee is considering changing from the traditional weeklong contribution campaign to an intensive one-day campaign. In an effort to better understand current donation patterns, she is studying past data. A staff member from a neighboring state has speculated that male viewers' donations have greater variability in amount than do those of females. To test this, random samples of 25 men and 25 women were selected from people who donated during last year's telethon. The following statistics were computed from the sample data: Male x₁ = 12.40 S₁ = 2.50 Female x₁ = 8.92 S₂ = 1.34 Based on a significance level of 0.05, does it appear that male viewers' donations have greater variability in amount than do those of female viewers?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The manager of the Public Broadcasting System for Tennessee is considering changing from the traditional
weeklong contribution campaign to an intensive one-day campaign. In an effort to better understand current
donation patterns, she is studying past data. A staff member from a neighboring state has speculated that male
viewers' donations have greater variability in amount than do those of females. To test this, random samples of
25 men and 25 women were selected from people who donated during last year's telethon. The following statistics
were computed from the sample data:
Male
= 12.40
X₁
S₁ = 2.50
Female
x₁ = 8.92
S₂ = 1.34
Based on a significance level of 0.05, does it appear that male viewers' donations have greater variability in
amount than do those of female viewers?
Expert Solution
Step 1
The following information has been provided:
The standard deviations are:
The sample size is:
We will use the F test for two population variances.
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