Use the Normal to Model the Distribution of Sample Proportions

question 17

Multiple Choice

Use the Normal to model the distribution of sample proportions.
-It is generally believed that electrical problems affect about 14% of new cars. An
Automobile mechanic conducts diagnostic tests on 128 new cars on the lot. What is the
Probability that in this group over 18% of the new cars will be found to have electrical
Problems?

• A) 0.0985
• B) 0.197
• C) 0.9015
• D) 0.803
• E) 0.500

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Definitions:

Standard Error

A statistical measure that describes the accuracy with which a sample mean estimates the population mean.

Regression Line

A line of best fit that describes the linear relationship between an independent variable and a dependent variable.

Least-Squares Regression

A statistical method that determines the best-fitting line for a set of data by minimizing the sum of the squares of the vertical distances of the points from the line.

Slope

The measure of the steepness or incline of a line, indicating the rate at which values increase or decrease.