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Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1.5 month. 15 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the probability that one randomly selected person learned to walk when the person was between 11.5 and 12.5 months old? 2586 b. For the 15 people, find the probability that the average age that they learned to walk is between 11.5 and 12.5 months old. .8030 c. For part b, is the assumption that the distribution is normal necessary? © YesO No d. Find the IQR for the average first time walking age for groups of 15 people. Round to two decimal places. Q1 = months Q3 = months IQR: months

Suppose the age that children learn to walk is normally distributed with mean 12 months and standard deviation 1.5 month. 15 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the probability that one randomly selected person learned to walk when the person was between 11.5 and 12.5 months old? 2586 b. For the 15 people, find the probability that the average age that they learned to walk is between 11.5 and 12.5 months old. .8030 c. For part b, is the assumption that the distribution is normal necessary? © YesO No d. Find the IQR for the average first time walking age for groups of 15 people. Round to two decimal places. Q1 = months Q3 = months IQR: months

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Educational Content on Walking Age Statistics** **Understanding Normal Distribution in Walking Age** The age at which children learn to walk is typically normally distributed with a mean of 12 months and a standard deviation of 1.5 months. To explore this further, a survey was conducted asking 15 randomly selected people at what age they learned to walk. **Probabilities and Assumptions** a. **Individual Probability Calculation:** - **Problem:** What is the probability that a randomly selected person learned to walk between 11.5 and 12.5 months? - **Solution:** The probability is approximately **0.2568**. b. **Group Average Probability Calculation:** - **Problem:** For the group of 15 people, what is the probability that the average age they learned to walk is between 11.5 and 12.5 months? - **Solution:** The probability is approximately **0.8030**. c. **Assumption of Normality:** - **Question:** Is the assumption that the distribution is normal necessary? - **Answer:** Yes. **Interquartile Range (IQR) for Walking Age** d. **Finding the IQR:** - **Problem:** Calculate the Interquartile Range (IQR) for the average age at which children start walking in groups of 15, rounded to two decimal places. - **Calculations:** - First Quartile (Q1): No value provided - Third Quartile (Q3): No value provided - IQR: No value provided (Note: Specific numeric values for Q1, Q3, and IQR were not provided in the content.) This exercise illustrates the statistical concepts of probability and distribution as they apply to developmental milestones in children. Understanding these concepts is essential for interpreting data and making informed decisions based on statistical analysis.
Transcribed Image Text:**Educational Content on Walking Age Statistics** **Understanding Normal Distribution in Walking Age** The age at which children learn to walk is typically normally distributed with a mean of 12 months and a standard deviation of 1.5 months. To explore this further, a survey was conducted asking 15 randomly selected people at what age they learned to walk. **Probabilities and Assumptions** a. **Individual Probability Calculation:** - **Problem:** What is the probability that a randomly selected person learned to walk between 11.5 and 12.5 months? - **Solution:** The probability is approximately **0.2568**. b. **Group Average Probability Calculation:** - **Problem:** For the group of 15 people, what is the probability that the average age they learned to walk is between 11.5 and 12.5 months? - **Solution:** The probability is approximately **0.8030**. c. **Assumption of Normality:** - **Question:** Is the assumption that the distribution is normal necessary? - **Answer:** Yes. **Interquartile Range (IQR) for Walking Age** d. **Finding the IQR:** - **Problem:** Calculate the Interquartile Range (IQR) for the average age at which children start walking in groups of 15, rounded to two decimal places. - **Calculations:** - First Quartile (Q1): No value provided - Third Quartile (Q3): No value provided - IQR: No value provided (Note: Specific numeric values for Q1, Q3, and IQR were not provided in the content.) This exercise illustrates the statistical concepts of probability and distribution as they apply to developmental milestones in children. Understanding these concepts is essential for interpreting data and making informed decisions based on statistical analysis.
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