A Popular Music Magazine Has Speculated That the Average Length

question 92

Essay

A popular music magazine has speculated that the average length of a song on one of today's popular CDs is 3.75 minutes with a standard deviation of .75 minutes. A randomly selected song of a particular new type of music is 5 minutes. Based on this one case, what can you conclude about whether this new type of music is longer than popular songs in general? (Use the .05 level.)
a. Use the five steps of hypothesis testing.
b. Sketch the distributions involved.
c. Explain the logic of what you did (be sure your explanation includes the overall logic of hypothesis testing, including each of the five steps).
d. Would the conclusion be different if you utilized the .01 level of significance?

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Definitions:

Researcher Bias

The tendency for researchers to influence the outcome of a study due to their personal beliefs, expectations, or preferences.

Detailed Picture

An image or representation that includes a high level of detail, making it very clear and precise.

Interpret

To explain the meaning of or make sense of.

Descriptive Methods

Methods that yield descriptions of behavior but not necessarily causal explanations.