A sample of 20 pages was taken from a Yellow Pages (yp.com) business directory. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below: 02603564035360268369428536268396469536162338403536536130 Click here for the Excel Data File (a) Construct a 95% confidence interval for the true mean. (Round your answers to 2 decimal places.) The 95% confidence interval is from to . (b) What sample size would be needed to obtain an error of ±20 square millimeters with 95% confidence? (Enter your answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in your calculations.)

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Description: A sample of 20 pages was taken from a Yellow Pages (yp.com) business directory. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millime

Here, the sample size, n is 20. The mean is calculated below. The sample variance is calculated…

Answered: A sample of 20 pages was taken from a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A sample of 20 pages was taken from a Yellow Pages (yp.com) business directory. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below:

0	260	356	403	536	0	268	369	428	536
268	396	469	536	162	338	403	536	536	130

Click here for the Excel Data File

(a) Construct a 95% confidence interval for the true mean. (Round your answers to 2 decimal places.)

The 95% confidence interval is from to .

(b) What sample size would be needed to obtain an error of ±20 square millimeters with 95% confidence? (Enter your answer as a whole number (no decimals). Use a z-value taken to 3 decimal places in your calculations.)

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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