TheWillow Run Outlet Mall has two Haggar Outlet Stores one located on PeachStreet and the other on Plum Street. The two stores are laid out differentlybut both store managers claim their layout maximizes the amounts customers willpurchase on impulse. A sample of ten customers at the Peach Street storerevealed 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 offourteen customers at the Plum Street store revealed they spent the followingamounts 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-SampleAssumingUnequalVariances was used.
At the .01 significance level is therea difference in the mean amount purchased on an impulse at the two stores?Explain these results to aperson who knows about the t test fora single sample but is unfamiliar with the ttest for independent means.
Hypothesis Test: Independent Groups (t-test unequalvariance)
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
p-value(two-tailed)
-5.28173
confidence interval 99.% lower
0.43345
confidence interval 99.% upper
2.85759
margin of error