SCENARIO 11-3
as Part of an Evaluation Program, a Sporting

question 156

Short Answer

SCENARIO 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting
speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill
speeds. The results are presented in miles per hour in the table below. $$\begin{array} { ccccc} \underline{\text { Trial }} & \underline{\text { Barth } }& \underline{ \text { Tornado } }& \underline{\text { Reiser }} & \underline{ \text { Shaw }} \\1 & 43 & 37 & 41 &43 \\2 & 46 & 38 & 45 & 45 \\3 & 43 & 39 & 42 & 46\end{array}$$
-Referring to Scenario 11-3, the null hypothesis for Levene's test for homogeneity of variances is a) $H _ { 0 } : \mu _ { A } = \mu _ { B } = \mu _ { C } = \mu _ { D }$
b) $H _ { 0 } : M _ { A } = M _ { B } = M _ { C } = M _ { D }$
c) $H _ { 0 } : \sigma _ { A } ^ { 2 } = \sigma _ { B } ^ { 2 } = \sigma _ { C } ^ { 2 } = \sigma _ { D } ^ { 2 }$
d) $H _ { 0 } : \pi _ { A } = \pi _ { B } = \pi _ { C } = \pi _ { D }$

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Definitions:

Charles Spearman

A psychologist known for his work in statistics and intelligence, notably for his theory that a general intelligence factor, "g", underlies all cognitive abilities.

Fluid G

Refers to one of the two types of general intelligence, characterized by the ability to reason quickly and solve new problems independently of previously acquired knowledge.

Artistic Intelligence

The ability to create, understand, and appreciate art and its aesthetic values.

New Problems

Unfamiliar or unforeseen challenges that require critical thinking and innovative solutions.