"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise: PermafreshHylite106165126171155142153187117 A manufacturer wants to know how large is the difference in mean wrinkle recovery angle.The mean and the standard deviation for the Permafresh are: ¯x= s=Round to 3 decimal places. 2. The mean and the standard deviation for the Hylite are: ¯x= s=Round to 3 decimal places. 3.The standard error is: SE = ________ Round to 3 decimal places. The critical value from the distribution for a confidence interval of 98% is: t*= ________Use degrees of freedom of 3. Use Technology Round to 3 decimal places. Using the the answer from above (all rounded to 3 decimal places), calculate by hand a 98% confidence interval for the difference in mean wrinkle recovery angle: ________ to ________Round to 3 decimal places.

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Description: "Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) f

The descriptive statistics are calculated in EXCEL. The procedure is as follows. Enter the variable…

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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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"Durable press" cotton fabrics are treated to improve their recovery from wrinkles after washing. "Wrinkle recovery angle" measures how well a fabric recovers from wrinkles. Higher is better. Here are data on the wrinkle recovery angle (in degrees) for the same fabric specimens discussed in the previous exercise:

Permafresh	Hylite
106	165
126	171
155	142
153	187
117

A manufacturer wants to know how large is the difference in mean wrinkle recovery angle.

The mean and the standard deviation for the Permafresh are:

¯x= s=

Round to 3 decimal places.
2. The mean and the standard deviation for the Hylite are:

¯x= s=
Round to 3 decimal places.
3.The standard error is:

SE = ________ Round to 3 decimal places.

The critical value from the distribution for a confidence interval of 98% is:

t*= ________Use degrees of freedom of 3. Use Technology Round to 3 decimal places.
Using the the answer from above (all rounded to 3 decimal places), calculate by hand a 98% confidence interval for the difference in mean wrinkle recovery angle:

________ to ________Round to 3 decimal places.

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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