Question

University A University B Sample Size 50 40 Average Purchase $260 $250 Standard Deviation (σ) $...

University A

University B

Sample Size

50

40

Average Purchase

$260

$250

Standard Deviation (σ)

$ 20

$ 23

We want to determine if, on the average, students at University A spent more on textbooks then the students at University B.

a. Compute the test statistic.
b. Compute the p-value.
c. What is your conclusion? Let α = .05.
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Answer #1

a)

z = (x1-x2)/sqrt(s1^2/n1+s2^2/n2)
= ( 260 - 250)/sqrt(20^2/50 + 23^2/40)
= 2.17

b)

p value = 0.0150


c)

Rject H0 as p value < 0.05

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