The age that children learn to walk is normally distributed with mean 11 months and standard deviation 2.3 months. 33 randomly selected people were asked what age they learned. d. For the 33 people, find the probability that the average age that chey learned to walk is betwe10.5 and 11.5 months old.e. For part d), is the assumption that the distribution is normal necessary? O YesO No of. Find the IQR for the average first time walking age for groups of 33 people.Q1 =monthsQ3 =monthsIQR:months

Answered: d. For the 33 people, find the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section: Chapter Questions

Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...

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The age that children learn to walk is normally distributed with mean 11 months and standard deviation 2.3 months. 33 randomly selected people were asked what age they learned.

d. For the 33 people, find the probability that the average age that chey learned to walk is betwe
10.5 and 11.5 months old.
e. For part d), is the assumption that the distribution is normal necessary? O YesO No o
f. Find the IQR for the average first time walking age for groups of 33 people.
Q1 =
months
Q3 =
months
IQR:
months

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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