Feature movie lengths (in hours) were measured for all movies shown in the past

Question

Feature movie lengths (in hours) were measured for all movies shown in the past year in the U.S. The mean length of all feature length movies shown was 1.80 hours with a standard deviation of 0.15 hours. Suppose the length of a random sample of 20 movies was recorded from all movies released this year. The mean length of the feature length movies was found to be 1.72 hours with a standard deviation of 0.18 hours.

Suppose the process of taking random samples of size 20 is repeated 200 times and a histogram of the 200 sample means is created. The histogram would be a display of which of the following?

Select one:

a. Normal distribution

b. distribution of a sample

c. sampling distribution of means

d. population distribution

Explanation / Answer

Answer

a. Normal distribution

Explanation: The central limit theorem basically states that as the sample size gets large enough, the sampling distribution becomes more normal or nearly normal regardless of the population distribution.

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