used data from the Social Security records to study the average monthly benefit for a specific year for retired workers and for disabled workers. A random sample for both retired and disabled workers revealed the following. mean benefit sample standard deviation sample size Retired $950.50 $98 63 Disabled $902.89 $100 60 Is there sufficient evidence tO conclude that the average monthly Social Security benefit is different for the two groups?
used data from the Social Security records to study the average monthly benefit for a specific year for retired workers and for disabled workers. A random sample for both retired and disabled workers revealed the following. mean benefit sample standard deviation sample size Retired $950.50 $98 63 Disabled $902.89 $100 60 Is there sufficient evidence tO conclude that the average monthly Social Security benefit is different for the two groups?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:Problem 6
Researchers used data from the Social Security records to study the average monthly benefit for
a specific year for retired workers and for disabled workers. A random sample for both retired and
disabled workers revealed the following.
mean benefit sample standard deviation sample size
Retired
$950.50
$98
63
Disabled
$902.89
$100
60
Is there sufficient evidence to conclude that the average monthly Social Security benefit is different
for the two groups?
a) Formulate the null and the alternative hypotheses and test them at a level of confidence
a = 0.01.
b) Perform the p-value test and confirm the result obtained in part a).
c) Find the 99% CI for the difference of average monthly benefit and confirm further the result
obtained in part a) and b).

Transcribed Image Text:d) Can it be concluded that there is a difference between the average average monthly benefit for
retired workers is different than the average monthly benefit for disabled workers? Explain.
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