Question 130993: This is not in a text book - can you help?
A new model of digital camera is marketed in three major department store chains. THe number of cameras sold every month at each three store chains is listed below:
Target - 177, 200, 191, 188
KMart - 164, 144, 170, 151
WalMart - 180, 213, 198, 204
At 0.05 level of significance is there a difference in the mean numbers of cameras sold at the three stores?
a. state null and alternative hypothesis
b. compute SS total, SST, SSE
c. Develop ANOVA table
d. what is the decision regarding the null hypothesis, is there a difference in the mean numbers od cameras sold at the three stores?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A new model of digital camera is marketed in three major department store chains. THe number of cameras sold every month at each three store chains is listed below:
Target - 177, 200, 191, 188
KMart - 164, 144, 170, 151
WalMart - 180, 213, 198, 204
At 0.05 level of significance is there a difference in the mean numbers of cameras sold at the three stores?
a. state null and alternative hypothesis
Ho: the means are the same
Ha: at least one of the means is different
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b. compute
SS total = Summation(x-xbarbar)^2= 3767.16667
SST = Summation n(subi)(x-bar-xbarbar)^2
SSE = Summation(ni-1)(si)^2
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c. Develop ANOVA table
For each data element the expected value is (row total/grand total)*(columun total)
d. what is the decision regarding the null hypothesis, is there a difference in the mean numbers od cameras sold at the three stores?
Test statistic: F = 13.2907
p-value = 0.002058...
Conclusion: Reject Ho: at least one of the means is different.
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Cheers,
Stan H.
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