1. Aperture Science has offices in Bellevue and Seattle. An HR representative wants to test whether the average number of vacation days taken by employees at the Bellevue office is more than one greater than the average number of vacation days taken by employees at the Seattle office.

Bellevue

• Standard Deviation = 4.725815626
• Sample Size = 25
• Mean = 14

Seattle

• Standard Deviation = 5.059644256
• Sample Size = 36
• Mean = 10

(a) Define the parameter to be tested.

(b) State the null and alternative hypothesese you would use to test the HR representative's claims. Hint: The null hypothesis is not 1 2 = 0.

(c) Would you use a pooled or unpooled test? Why?