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Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.2 month. 17 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 13 b. What is the distribution of x? ~ N 13 0.0847 X c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 14.5 months old? 0.5572 X d. For the 17 people, find the probability that the average age that they learned to walk is between 12.5 and 14.5 months old. 0.0427 X 1.2 e. For part d), is the assumption that the distribution is normal necessary? Yes No f. Find the IQR for the average first time walking age for groups of 17 people. Q1 = 12.8037 ✔ months Q3 = 13.1963 IQR: 0.3926 months o months

Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.2 month. 17 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N 13 b. What is the distribution of x? ~ N 13 0.0847 X c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 14.5 months old? 0.5572 X d. For the 17 people, find the probability that the average age that they learned to walk is between 12.5 and 14.5 months old. 0.0427 X 1.2 e. For part d), is the assumption that the distribution is normal necessary? Yes No f. Find the IQR for the average first time walking age for groups of 17 people. Q1 = 12.8037 ✔ months Q3 = 13.1963 IQR: 0.3926 months o months

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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Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.2 month. 17 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 13 b. What is the distribution of x? x N 13 0.0847 X c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 14.5 months old? 0.5572 X d. For the 17 people, find the probability that the average age that they learned to walk is between 12.5 and 14.5 months old. 0.0427 X e. For part d), is the assumption that the distribution is normal necessary? Yes No o f. Find the IQR for the average first time walking age for groups of 17 people. 12.8037 months o Q1 = Q3 IQR: 0.3926 = 1.2 13.1963 months o months o
Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.2 month. 17 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( 13 b. What is the distribution of x? x N 13 0.0847 X c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 14.5 months old? 0.5572 X d. For the 17 people, find the probability that the average age that they learned to walk is between 12.5 and 14.5 months old. 0.0427 X e. For part d), is the assumption that the distribution is normal necessary? Yes No o f. Find the IQR for the average first time walking age for groups of 17 people. 12.8037 months o Q1 = Q3 IQR: 0.3926 = 1.2 13.1963 months o months o
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