a singlé randomly selected movie, find the probability that this movie's production cost is between 67 and 72 million dollars. d. For the group of 17 movies, find the probability that the average production cost is between 67 and 72 million dollars.

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 avg. … (please complete only part c and d the rest is completed)
The average production cost for major movies is 65 million dollars and the standard deviation is 22 million
dollars. Assume the production cost distribution is normal. Suppose that 17 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( 65
22
b. What is the distribution of x? a - N( 65
5.3358
c. For a single randomly selected movie, find the probability that this movie's production cost is
between 67 and 72 million dollars.
d. For the group of 17 movies, find the probability that the average production cost is between 67 and
72 million dollars.
e. For part d), is the assumption of normal necessary? O YesO No o Yes
Transcribed Image Text:The average production cost for major movies is 65 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 17 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( 65 22 b. What is the distribution of x? a - N( 65 5.3358 c. For a single randomly selected movie, find the probability that this movie's production cost is between 67 and 72 million dollars. d. For the group of 17 movies, find the probability that the average production cost is between 67 and 72 million dollars. e. For part d), is the assumption of normal necessary? O YesO No o Yes
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