Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 41, with a standard deviation of28. A pollster draws a sample of 92 people to interview. Answer the two following questions. Part 4 of 5(d) Would it be unusual for the sample mean to be less than 32? Round the answer to at least four decimal places.It (Choose one) ▼unusual because the probability of the sample mean being less than 32isisis notPart 5 of 5(e) Do you think it would be unusual for an individual to have an Income of less than 32? Explain. Assume the variable isnormally distributed. Round the answer to at least four decimal places.(Choose one) ▼because the probability that an individual has an income less than 32 is Part 4 of 5(d) Would it be unusual for the sample mean to be less than 32? Round the answer to at least four decimal places.It (Choose one) ▼unusual'because the probability of the sample mean being less than 32isPart 5 of 5(e) Do you think it would be unusual for an individual to have an income of less than 32? Explain. Assume the varlable isnormally distributed. Round the answer to at least four decimal places.(Choose one) ▼because the probability that an individual has an income less than 32 isYesNo

Let X be the random variable from normal distribution with mean (μ) = 41 standard deviation (σ) = 28…

Answered: Annual income: The mean annual income…

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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Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 41, with a standard deviation of 28. A pollster draws a sample of 92 people to interview. Answer the two following questions.

Part 4 of 5
(d) Would it be unusual for the sample mean to be less than 32? Round the answer to at least four decimal places.
It (Choose one) ▼
unusual because the probability of the sample mean being less than 32
is
is
is not
Part 5 of 5
(e) Do you think it would be unusual for an individual to have an Income of less than 32? Explain. Assume the variable is
normally distributed. Round the answer to at least four decimal places.
(Choose one) ▼
because the probability that an individual has an income less than 32 is

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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