## Understanding Normal Distribution in Walking Age of ChildrenSuppose the age that children learn to walk is normally distributed with a mean of 13 months and a standard deviation of 1.3 months. Thirteen randomly selected people were asked what age they learned to walk. Round all answers to four decimal places where possible.### Questions and Analysisa. **What is the distribution of $ \bar{X}? $** - Distribution: $ \bar{X} \sim N(\mu, \frac{\sigma}{\sqrt{n}}) $b. **What is the distribution of $ \Sigma X? $** - Distribution: $ \Sigma X \sim N(n\mu, n\sigma^2) $c. **What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old?** - Probability: [calculate using normal distribution with given mean and standard deviation]d. **For the 13 people, find the probability that the average age that they learned to walk is between 12.5 and 13.5 months old.** - Probability: [calculate using distribution of $ \bar{X} $]e. **For part d), is the assumption that the distribution is normal necessary?** - Yes or No (select)f. **Find the IQR for the average first-time walking age for groups of 13 people.** - $ Q1 = $ [calculate] - $ Q3 = $ [calculate] - $ IQR = Q3 - Q1 $### InstructionsUse the given normal distribution parameters to perform calculations. Utilize standard normal distribution tables or software to find probabilities and percentiles as needed.### Additional NotesUnderstanding how to calculate these values helps in assessing child development metrics and supports statistical knowledge in real-world scenarios.

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Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.3 month. 13 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 b. What is the distribution of ? N( c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old? d. For the 13 people, find the probability that the average age that they learned to walk is between 12.5 and 13.5 months old. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes 13. people

Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.3 month. 13 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 b. What is the distribution of ? N( c. What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old? d. For the 13 people, find the probability that the average age that they learned to walk is between 12.5 and 13.5 months old. e. For part d), is the assumption that the distribution is normal necessary? O NoO Yes 13. people

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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the median of the following distribution: 10-14 15-19 16 20-24 12 25-29 4. TOTAL 40 O 20.00 O 17.00 O 14.50 O 18.25 Chek Save and Submit to save and submit. Click Save All Answers to sav
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