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Are TV commercials louder than their surrounding programs? To find out, researchers collected data on 50randomly selected commercials in a given week. With the television鈥檚 volume at a fixed setting, they measured the maximum loudness of each commercial and the maximum loudness in the first 30seconds of regular programming that followed. Assuming conditions for inference are met, the most appropriate method for answering the question of interest is

(a) a one-proportion z test.

(b) a one-proportion z interval.

(c) a paired t test.

Short Answer

Expert verified

The correct answer is (c) a pairedt-test.

Step by step solution

01

Given Information

The maximum loudness in the first 30 seconds of regular programming that followed.

02

Explanation

The question of interest involves the population mean the difference between the commercial and the regular programming.

The normal distribution is used for the population proportion and the Student t-distribution is used for the population mean, thus we will need to use the Student t-distribution.

It is best to use a test because we wish to test if there is a difference or not, and thus the correct answer is (c) a paired t-test.

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