Statistical question not sure
1. 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 ten 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
fourteen 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 tTest: TwoSample
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 is unfamiliar with the t test for independent means.
Hypothesis Test: Independent Groups (ttest, unequal variance) 

Peach Street 
Plum Street 

15.8680 
18.2921 
mean 
2.3306 
2.5527 
std. dev. 
10 
14 
n 
20 
df 

2.42414 
difference (Peach Street  Plum Street) 

1.00431 
standard error of difference 

0 
hypothesized difference 

2.41 
t 

.0255 
pvalue (twotailed) 

5.28173 
confidence interval 99.% lower 

0.43345 
confidence interval 99.% upper 

2.85759 
margin of error 
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