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Unformatted text preview: data from previous driving distance
tests, the two population standard
deviations are known with σPar = 15
yards and σAce = 20 yards. test
test Difference Between 2
(x1 − x2)− D0
1 + σ2 n1 n2
H0: DPar–Ace ≤ 0
Ha: DPar–Ace > 0
reject H0 if zSTAT > z.05 or pvalue<0.05 H0: μ1 – μ2 ≥ D0
Ha: μ1 – μ2 < D0
reject H0 if zSTAT < zα or p-value<α H0: μ1 – μ2 = D0
Ha: μ1 – μ2 ≠ D0
reject H0 if zSTAT < –zα/2 or zSTAT
> zα/2 or if p-value<α Example
zSTAT = What is the value of the test statistic
zSTAT ? ( x1 - x 2 ) - D0 Par, Inc. sis + snmanufacturer of golf
equipment and has developed a new
( x Par - x Ace ) - D0
golf ball thats hass been designed to
provide “extra distance.” Par would like
to demonstrate that0 their new Par golf
(275 - 258) =
balls are superior to the comparable
ball made by their competitor, Ace, Inc.
In a test of driving distance using a
mechanical driving device, a sample of
Par golf balls was compared with a
sample of Ace golf...
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This document was uploaded on 03/05/2014.
- Spring '13