(1.) A population has a meanμ=80and a standard deviationσ=24.Find the mean and standard deviation of a sampling distribution of sample means with sample sizen=64. (2).A population has a meanμ=90and a standard deviationσ=22.Find the mean and standard deviation of a sampling distribution of sample means with sample sizen=241.μx=nothing(Simplify your answer.) (3).The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample ofn=64,find the probability of a sample mean being less than23.2ifμ=23andσ=1.34. LOADING...Click the icon to view page 1 of the standard normal table.LOADING...Click the icon to view page 2 of the standard normal table.For a sample ofn=64,the probability of a sample mean being less than23.2ifμ=23andσ=1.34isnothing.(Round to four decimal places as needed.) (4).The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample ofn=70,find the probability of a sample mean being greater than212ifμ=211andσ=3.5.For a sample ofn=70,the probability of a sample mean being greater than212ifμ=211andσ=3.5isnothing.(Round to four decimal places as needed.) (5). The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability. For a sample ofn=36,find the probability of a sample mean being less than12,749or greater than12,752whenμ=12,749andσ=1.2.For the given sample, the probability of a sample mean being less than12,749or greater than12,752isnothing.(Round to four decimal places as needed.) (6).The mean height of women in a country (ages20−29)is64.2inches. A random sample of70women in this age group is selected. What is the probability that the mean height for the sample is greater than65inches? Assumeσ=2.56.The probability that the mean height for the sample is greater than65inches isnothing.(Round to four decimal places as needed.) (7).Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is$227with a standard deviation of$69.Random samples of size31are drawn from this population and the mean of each sample is determined.The mean of the distribution of sample means isnothing. (8).Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of107pounds and a standard deviation of37.8pounds. Random samples of size19are drawn from this population and the mean of each sample is determined.μx=nothing (9). Find the probability and interpret the results. If convenient, use technology to find the probability. The population mean annual salary for environmental compliance specialists is about$62,500.A random sample of40specialists is drawn from this population. What is the probability that the mean salary of the sample is less than$60,000?Assumeσ=$6,300.The probability that the mean salary of the sample is less than$60,000isnothing.(Round to four decimal places as needed.) (10).The annual salary for one particular occupation is normally distributed, with a mean of about$130,000and a standard deviation of about$18,000.Random samples of41are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.The mean isμx=nothing,and the standard deviation isσx=nothing.(Round to the nearest integer as needed. Do not include the $ symbol in your answers.)

Name: (1.) A population has a meanμ=80and a standard deviationσ=24.Find the
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Description: (1.) A population has a meanμ=80and a standard deviationσ=24.Find the mean and standard deviation of a sampling distribution of sample means with sample sizen=64. (2).A population has a meanμ=90and a standard deviationσ=22.Find the mean and standa

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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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(1.) A population has a mean

μ=80

and a standard deviation

σ=24.

Find the mean and standard deviation of a sampling distribution of sample means with sample size

n=64.

(2).

A population has a mean

μ=90

and a standard deviation

σ=22.

Find the mean and standard deviation of a sampling distribution of sample means with sample size

n=241.

μx=nothing

(Simplify your answer.)

(3).

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

For a sample of

n=64,

find the probability of a sample mean being less than

23.2

μ=23

and

σ=1.34.

Click the icon to view page 1 of the standard normal table.

Click the icon to view page 2 of the standard normal table.

For a sample of

n=64,

the probability of a sample mean being less than

23.2

μ=23

and

σ=1.34

nothing.

(Round to four decimal places as needed.)

(4).

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

For a sample of

n=70,

find the probability of a sample mean being greater than

212

μ=211

and

σ=3.5.

For a sample of

n=70,

the probability of a sample mean being greater than

212

μ=211

and

σ=3.5

nothing.

(Round to four decimal places as needed.)

(5). The population mean and standard deviation are given below. Find the indicated probability and determine whether a sample mean in the given range below would be considered unusual. If convenient, use technology to find the probability.

For a sample of

n=36,

find the probability of a sample mean being less than

12,749

or greater than

12,752

when

μ=12,749

and

σ=1.2.

For the given sample, the probability of a sample mean being less than

12,749

or greater than

12,752

nothing.

(Round to four decimal places as needed.)

(6).

The mean height of women in a country (ages

20−29)

64.2

inches. A random sample of

women in this age group is selected. What is the probability that the mean height for the sample is greater than

inches? Assume

σ=2.56.

The probability that the mean height for the sample is greater than

inches is

nothing.

(Round to four decimal places as needed.)

(7).

Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution.

The mean price of photo printers on a website is

$227

with a standard deviation of

$69.

Random samples of size

are drawn from this population and the mean of each sample is determined.

The mean of the distribution of sample means is

nothing.

(8).

Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution.

The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of

107

pounds and a standard deviation of

37.8

pounds. Random samples of size

are drawn from this population and the mean of each sample is determined.

μx=nothing

(9).

Find the probability and interpret the results. If convenient, use technology to find the probability.

The population mean annual salary for environmental compliance specialists is about

$62,500.

A random sample of

specialists is drawn from this population. What is the probability that the mean salary of the sample is less than

$60,000?

Assume

σ=$6,300.

The probability that the mean salary of the sample is less than

$60,000

nothing.

(Round to four decimal places as needed.)

(10).

The annual salary for one particular occupation is normally distributed, with a mean of about

$130,000

and a standard deviation of about

$18,000.

Random samples of

are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution.

The mean is

μx=nothing,

and the standard deviation is

σx=nothing.

(Round to the nearest integer as needed. Do not include the $ symbol in your answers.)

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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