In: Statistics and Probability
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 on impulse purchases: $17.58, $19.73, $12.61, $17.79, $16.22, $15.82, $15.40, $15.86, $11.82, and $15.85. A sample of 14 customers at the Plum Street store revealed they spent the following amounts on impulse purchases: $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, and $14.83. At the 0.01 significance level, is there a difference in the mean amounts purchased on impulse at the two stores?
1. Find the degrees of freedom for unequal variance test. (Round down your answer to nearest whole number.)
2. State the decision rule for 0.01 significance level: H0: μPeach = μPlum; H1: μPeach ≠ μPlum. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
3. Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)