Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.3 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(Correct,Correct)What is the distribution of ¯xx¯? ¯xx¯ ~ N(Correct,Correct)What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old? IncorrectFor the 16 people, find the probability that the average age that they learned to walk is between 12.5 and 13.5 months old. CorrectFor part d), is the assumption that the distribution is normal necessary? NoYesNOTE AGAIN..........THE ANSWER TO PART (C #3) IS NOT CORRECT. IT IS NOT 0.3036, 0.3086, 0.3026. WHAT EVER ANSWER YOU HAVE FOR PART C#3. I HAVE SUBMIT THIS QUESTION MULTIPLE TIMES AND YOU KEEP SENDING THE SAME ANSWER. IT IS NOT CORRECT. ALL OTHER PARTS ARE CORRECT EXCEPT C #3. PLEASE SUBMIT CORRECT ANSWER. I HAVE LIMITED QUESTIONS A MONTH. AND I HAVE MORE ASSIGNMENTS TO DO BEFORE THE SEMESTER ENDS.

From the provided information, Mean (µ) = 13 Standard deviation (σ) = 1.3 X~N (13, 1.3) 3) The required probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old can be obtained as: P12.5<X<13.5=P12.5-131.3<X-μσ<13.5-131.3=P-0.3846<Z<0.3846=PZ<0.3846-PZ<-0.3846=PZ<0.3846-1-PZ<0.3846=2PZ<0.3846-1=20.649733-1From excel =NORM.S.DIST(0.3846,TRUE)=0.299466≈0.2995 The excel output is as follow: The required probability is 0.2995.

Answered: Suppose the age that children learn to…

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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Suppose the age that children learn to walk is normally distributed with mean 13 months and standard deviation 1.3 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(Correct,Correct)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(Correct,Correct)
What is the probability that one randomly selected person learned to walk when the person was between 12.5 and 13.5 months old? Incorrect
For the 16 people, find the probability that the average age that they learned to walk is between 12.5 and 13.5 months old. Correct
For part d), is the assumption that the distribution is normal necessary? NoYes

NOTE AGAIN..........THE ANSWER TO PART (C #3) IS NOT CORRECT. IT IS NOT 0.3036, 0.3086, 0.3026. WHAT EVER ANSWER YOU HAVE FOR PART C#3. I HAVE SUBMIT THIS QUESTION MULTIPLE TIMES AND YOU KEEP SENDING THE SAME ANSWER. IT IS NOT CORRECT. ALL OTHER PARTS ARE CORRECT EXCEPT C #3. PLEASE SUBMIT CORRECT ANSWER. I HAVE LIMITED QUESTIONS A MONTH. AND I HAVE MORE ASSIGNMENTS TO DO BEFORE THE SEMESTER ENDS.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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