Suppose That the Average Pop Song Length in America Is

question 27

Multiple Choice

Suppose that the average pop song length in America is 4 minutes with a standard deviation of 1.25 minutes. It is known that song length is not normally distributed. Suppose a sample of 25 songs is taken from the population. What is the approximate probability that the average song length will be less than 3.5 minutes? Round to the nearest thousandth.

• A)0.345
• B)0.477
• C)0.023
• D)0.155

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Definitions:

Regression Line

A line of best fit through a scatter plot of data points in statistical analysis, showing the relationship between two variables.

Correlation Coefficient

A statistical measure that calculates the strength and direction of a linear relationship between two quantitative variables.

Standard Error

A measure of the variation or dispersion of the sample means around the population mean in a sampling distribution.

Statistical Hypothesis Tests

Procedures used to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population.