In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.4 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 66 inches.The probability that the study participant selected at random is less than 66 inches tall is(Round(b) Find the probability that a study participant has a height that is between 66 and 70 inches.The probability that the study participant selected at random is between 66 and 70 inches tall is(c) Find the probability that a study participant has a height that is more than 70 inches.The probability that the study participant selected at random is more than 70 inches tall is(Roun(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.O A. The events in parts (b) and (c) are unusual because its probabilities are less than 0.05.B. None of the events are unusual because all the probabilities are greater than 0.05.C. The event in part (a) is unusual because its probability is less than 0.05.D. The event in part (b) is unusual because its probability is less than 0.05.

The normal distribution is a continuous probability distribution with parameter mean=μ and standard…

Answered: In a survey of a group of men, the…

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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In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.4 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below.

(a) Find the probability that a study participant has a height that is less than 66 inches.
The probability that the study participant selected at random is less than 66 inches tall is
(Round
(b) Find the probability that a study participant has a height that is between 66 and 70 inches.
The probability that the study participant selected at random is between 66 and 70 inches tall is
(c) Find the probability that a study participant has a height that is more than 70 inches.
The probability that the study participant selected at random is more than 70 inches tall is
(Roun
(d) Identify any unusual events. Explain your reasoning. Choose the correct answer below.
O A. The events in parts (b) and (c) are unusual because its probabilities are less than 0.05.
B. None of the events are unusual because all the probabilities are greater than 0.05.
C. The event in part (a) is unusual because its probability is less than 0.05.
D. The event in part (b) is unusual because its probability is less than 0.05.

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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