A Large University Is Interested in Learning About the Average

question 136

Multiple Choice

A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 238 students and asked each to provide the amount of time they
Spent traveling to campus. This variable, travel time, was then used conduct a test of hypothesis.
The goal was to determine if the average travel time of all the universityʹs students differed from
20 minutes. Suppose the sample mean and sample standard deviation were calculated to be 23.2
And 20.26 minutes, respectively. Calculate the value of the test statistic to be used in the test.

• A)z = 2.437
• B)z = 0.173
• C)z = 2.551
• D)z = 37.59

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Definitions:

Factorial ANOVA

A statistical analysis used to examine the effects of two or more categorical independent variables on one continuous dependent variable.

T-test

A statistical method employed to evaluate if there's a significant difference between the average values of two distinct groups.

Null Hypotheses

A statement positing that no statistical relation or significance exists in a set of given observations.

Factorial Analysis

Factorial analysis is another term for factor analysis, a technique employed in statistics to explore underlying factors or components that explain the variability among observed variables.