MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2 months. 34 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 \( X \)? 

\[ X \sim N(\_\_\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_\_\_) \]

b. What is the distribution of \( \bar{x} \)? 

\[ \bar{x} \sim N(\_\_\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_\_\_) \]

c. What is the probability that one randomly selected person learned to walk when the person was between 10.6 and 11.3 months old?

\_\_\_\_\_\_\_\_\_\_

d. For the 34 people, find the probability that the average age that they learned to walk is between 10.6 and 11.3 months old.

\_\_\_\_\_\_\_\_\_\_

e. For part d), is the assumption that the distribution is normal necessary? 

[ ] No [ ] Yes

f. Find the IQR for the average first time walking age for groups of 34 people.

Q1 = \_\_\_\_\_\_\_\_\_\_ months

Q3 = \_\_\_\_\_\_\_\_\_\_ months

IQR: \_\_\_\_\_\_\_\_\_\_ months
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Transcribed Image Text:Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2 months. 34 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 \( X \)? \[ X \sim N(\_\_\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_\_\_) \] b. What is the distribution of \( \bar{x} \)? \[ \bar{x} \sim N(\_\_\_\_\_\_\_\_\_\_, \_\_\_\_\_\_\_\_\_\_) \] c. What is the probability that one randomly selected person learned to walk when the person was between 10.6 and 11.3 months old? \_\_\_\_\_\_\_\_\_\_ d. For the 34 people, find the probability that the average age that they learned to walk is between 10.6 and 11.3 months old. \_\_\_\_\_\_\_\_\_\_ e. For part d), is the assumption that the distribution is normal necessary? [ ] No [ ] Yes f. Find the IQR for the average first time walking age for groups of 34 people. Q1 = \_\_\_\_\_\_\_\_\_\_ months Q3 = \_\_\_\_\_\_\_\_\_\_ months IQR: \_\_\_\_\_\_\_\_\_\_ months
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