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Normal Distributions A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(T > 125) For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? What is the rule of thumb for normalizing the sampling distribution of means?

Normal Distributions A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(T > 125) For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? What is the rule of thumb for normalizing the sampling distribution of means?

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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Normal Distributions A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(T > 125) = For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? What is the rule of thumb for normalizing the sampling distribution of means?
Transcribed Image Text:Normal Distributions A magazine reported that on average, American drivers will be involved in 3.4 car accidents while driving over their lifetime, with a standard deviation of 0.68. Number of accidents for American drivers follows a normal distribution. Four Americans who are no longer driving were randomly selected. What is the probability that their average number of accidents while driving will be larger than 4? P(T > 125) = For this problem, we were told that the distribution is normal. If the shape of the distribution was not stated, we would not have been able to use the normal distribution table to find the probability. What does the Central Limit Theorem tell us to do to be able to normalize the distribution? What is the rule of thumb for normalizing the sampling distribution of means?
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