For this series of questions, you will conduct an F test and a two-tailed t-test on samples from the following data sets: Set A: 13 , 10 , 16 , 20 , 14 , 16 , 16 Set B: 15 , 9 , 11 , 11 , 15 , 13 , 9 , 13 a.What is the calculated F value for an F test of these two data sets? b.Based on the results of your F test, which t-tests could you do? (choose from the set of options below) Heteroscedastic or paired, but not homoscedastic. Homoscedastic or paired, but not heteroscedastic. Homoscedastic, but not heteroscedastic or paired. Heteroscedastic or homoscedastic, but not paired. All three t-tests can be performed with this data. Paired, but not heteroscedastic or homoscedastic. Heteroscedastic, but not homoscedastic or paired. c.Assuming the results of your F-test allowed it, what would the calculated t value be for a heteroscedastic t-test of this data be? d.Assuming the results of your F-test allowed it, what would the calculated t value be for a homoscedastic t-test of this data be? e.What is the appropriate conclusion of the appropriate t-test?(photo attached)
For this series of questions, you will conduct an F test and a two-tailed t-test on samples from the following data sets: Set A: 13 , 10 , 16 , 20 , 14 , 16 , 16 Set B: 15 , 9 , 11 , 11 , 15 , 13 , 9 , 13 a.What is the calculated F value for an F test of these two data sets? b.Based on the results of your F test, which t-tests could you do? (choose from the set of options below) Heteroscedastic or paired, but not homoscedastic. Homoscedastic or paired, but not heteroscedastic. Homoscedastic, but not heteroscedastic or paired. Heteroscedastic or homoscedastic, but not paired. All three t-tests can be performed with this data. Paired, but not heteroscedastic or homoscedastic. Heteroscedastic, but not homoscedastic or paired. c.Assuming the results of your F-test allowed it, what would the calculated t value be for a heteroscedastic t-test of this data be? d.Assuming the results of your F-test allowed it, what would the calculated t value be for a homoscedastic t-test of this data be? e.What is the appropriate conclusion of the appropriate t-test?(photo attached)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For this series of questions, you will conduct an F test and a two-tailed t-test on samples from the following data sets:
Set A: 13 , 10 , 16 , 20 , 14 , 16 , 16
Set B: 15 , 9 , 11 , 11 , 15 , 13 , 9 , 13
a.What is the calculated F value for an F test of these two data sets?
b.Based on the results of your F test, which t-tests could you do? (choose from the set of options below)
Heteroscedastic or paired, but not homoscedastic.
Homoscedastic or paired, but not heteroscedastic.
Homoscedastic, but not heteroscedastic or paired.
Heteroscedastic or homoscedastic, but not paired.
All three t-tests can be performed with this data.
Paired, but not heteroscedastic or homoscedastic.
Heteroscedastic, but not homoscedastic or paired.
c.Assuming the results of your F-test allowed it, what would the calculated t value be for a heteroscedastic t-test of this data be?
d.Assuming the results of your F-test allowed it, what would the calculated t value be for a homoscedastic t-test of this data be?
e.What is the appropriate conclusion of the appropriate t-test?(photo attached)
Transcribed Image Text:The mean of set B is significantly smaller than the mean of set B (p>0.05)
The mean of set B is significantly smaller than the mean of set B (0.04<p<0.05)
The mean of set B is significantly smaller than the mean of set B (0.02<p<0.04)
The mean of set B is significantly smaller than the mean of set B (0.01<p<0.02)
The mean of set B is significantly smaller than the mean of set B (0.001<p<0.01)
The mean of set B is significantly smaller than the mean of set B (p<0.001)
The means of the data sets are not significantly different from each other (p>0.05)
The means of the data sets are not significantly different from each other (0.04<p<0.05)
The means of the data sets are not significantly different from each other (0.02<p<0.04)
The means of the data sets are not significantly different from each other (0.01<p<0.02)
The means of the data sets are not significantly different from each other (0.001<p<0.01)
The means of the data sets are not significantly different from each other (p<0.001)
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