Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.2 month. 16 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)What is the probability that one randomly selected person learned to walk when the person was between 12 and 14 months old? For the 16 people, find the probability that the average age that they learned to walk is between 12 and 14 months old. For part d), is the assumption that the distribution is normal necessary? NoYesFind the IQR for the average first time walking age for groups of 16 people.Q1 = monthsQ3 = monthsIQR: months

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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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. 16 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the probability that one randomly selected person learned to walk when the person was between 12 and 14 months old?
For the 16 people, find the probability that the average age that they learned to walk is between 12 and 14 months old.
For part d), is the assumption that the distribution is normal necessary? NoYes
Find the IQR for the average first time walking age for groups of 16 people.
Q1 =  months
Q3 =  months
IQR:  months

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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