A Simple Random Sample of the Running Time of Movies

question 27

Essay

A simple random sample of the running time of movies of 70 international movies resulted in a sample mean length of 112 minutes and a sample standard deviation of 7 minutes. Test the claim that international movies have a mean running time of more than 110 minutes at the 5% level of significance. Assume that the lengths of movies are normally distributed.

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Definitions:

Global City

A significant urban center with a major influence on global economics, politics, and culture, often marked by a highly diverse population and a dynamic economic environment.

Mumbai

A major metropolitan city in India, known for its financial, commercial, and entertainment industries, as well as its diverse population and vibrant culture.

Urban Density

Concentration of people in a city, measured by the total number of people per square mile.

Georg Simmel

A German sociologist and philosopher who contributed to the foundations of sociology and the study of social forms and interactions.