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200) 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: 15 , 17 , 18 , 19 , 20 , 20 , 24
Set B: 19 , 18 , 18 , 17 , 15 , 15 , 13 , 13
a)The calculated F value for an F test of these two data sets.Based on the results of your F test, which t-tests could you do?
b)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?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?
c)What is the appropriate conclusion of the appropriate t-test?
The
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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