1. 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 differently,but 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-SampleAssuming Unequal Variances 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