Question 1097787: This is for my statistics class not sure if you could help me figure this our or not please let me know
2. The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout maximizes the amounts customers will purchase on impulse. A sample of 10 customers at the Peach Street store revealed they spent the following amounts more than planned: $17.58, $19.73, $12.61, $17.79, $16.22, $15.82, $15.40, $15.86, $11.82, $15.85. A sample of 14 customers at the Plum Street store revealed they spent the following amounts more than they planned when they entered the store: $18.19, $20.22, $17.38, $17.96, $23.92, $15.87, $16.47, $15.96, $16.79, $16.74, $21.40, $20.57, $19.79, $14.83. For data analysis, a t test: two-sample assuming unequal variances was used.
At the .01 significance level, is there a difference in the mean amount purchased on an impulse at the two stores? Explain these results to a person who knows about the t test for a single sample but who is unfamiliar with the t test for independent means.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! This is a t test where the test statistic is (x bar1-xbar2) divided by the square root of s1^2/n1 +s2^2/n2)
The degrees of freedom are n1+n2-2 or 22
The critical value is |t|>2.819
x1bar is 15.87
x2bar is 18.29
s1=2.33
s2 is 2.55
t=-2.41
that is -2.42 divided by sqrt (sds/ sample size) which is about 1
This has a p-value of 0.025
fail to reject Ho
This means that if there were no difference between the parameters, one would expect to get a pair of samples this different more than 1% of the time. One concludes that the parameters are the same.
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