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The average production cost for major movies is 58 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the distribution of ? -N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 58 million dollars. d. For the group of 43 movies, find the probability that the average production cost is between 53 and 58 million dollars. e. For part d), is the assumption of normal necessary? O No Yes

The average production cost for major movies is 58 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N b. What is the distribution of ? -N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 58 million dollars. d. For the group of 43 movies, find the probability that the average production cost is between 53 and 58 million dollars. e. For part d), is the assumption of normal necessary? O No Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average production cost for major movies is 58 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of ? - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 58 million dollars. d. For the group of 43 movies, find the probability that the average production cost is between 53 and 58 million dollars. e. For part d), is the assumption of normal necessary? O No Yes Question Help: E Written Example MMessage instructor Submit Question Jump to Answer
Transcribed Image Text:The average production cost for major movies is 58 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of ? - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 58 million dollars. d. For the group of 43 movies, find the probability that the average production cost is between 53 and 58 million dollars. e. For part d), is the assumption of normal necessary? O No Yes Question Help: E Written Example MMessage instructor Submit Question Jump to Answer
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