The Department of Transportation Would Like to Test the Hypothesis $$z \bar { x }$$

question 18

Multiple Choice

The Department of Transportation would like to test the hypothesis that the average age of cars on the road is less than 12 years. A random sample of 45 cars had an average age of 10.6 years. It is believed that the population standard deviation for the age of cars is 4.1 years. The Department of Transportation would like to set ? = 0.05. The test statistic for this hypothesis test would be .

• A)\[z \bar { x }\] = - 2.29
• B)\[z \bar { x }\]= - 1.04
• C)\[z \bar { x }\]= - 2.11
• D)\[z \bar { x }\] = 1.90

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Definitions:

Categories

Distinct groups or classes into which data or objects are organized.

Nominal Data

Data classified into categories that cannot be ordered in a meaningful way, used in qualitative analysis.

Chi-squared Goodness-of-fit

A statistical test that measures how well observed data fit an expected distribution in categorical data.

Contingency Table

A Contingency Table is a type of table in a matrix format that displays the frequency distribution of the variables. It's used in statistics to analyze the association between two or more variables.