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 $242 with a standard deviation of $55. Random samples of size 35 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. A. -3 0 3Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0. B. 239 242 245Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from 239 to 245 in increments of 1 and is centered on 242. C. 214.1269.9242 Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from 214.1 to 269.9 in increments of 9.3 and is centered on 242. All values are approximate. D. 77 242 407Mean price (in $) x

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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Question

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

$242

with a standard deviation of

$55.

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

enter your response here.

The standard deviation of the distribution of sample means is

enter your response here.

(Type an integer or decimal rounded to three decimal places as needed.)

Sketch a graph of the sampling distribution. Choose the correct answer below.

-3 0 3Mean price (in $)

A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0.

239 242 245Mean price (in $)

A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from 239 to 245 in increments of 1 and is centered on 242.

214.1269.9242 Mean price (in $)

A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from 214.1 to 269.9 in increments of 9.3 and is centered on 242. All values are approximate.

77 242 407Mean price (in $)

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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