The Willow Run Outlet Mall has two Haggar Outlet Stores one located on

The Willow Run Outlet Mall has two Haggar Outlet Stores one located on Peach Street and the other on Plum Street

Regular price \$15.00

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 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.

Hypothesis Test: Independent Groups (t test, 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
p-value (two-tailed)
-5.28173
confidence interval 99.% lower
0.43345
confidence interval 99.% upper
2.85759
margin of error