Chell is testing several types of boots for durability when falling a long distance. She found six types of boots. For each boot she drops from increasing heights until she is injured. Her overall average was 72.5 feet, with a pooled standard deviation of 6.4. The data for each type is shown below. Number ofbootsStd Dev(for each boot)Mean height(in feet)Steel246.969.5Titanium78.969.4Vibranium185.273.3Mithril85.974.5Netherite134.475.4Atium157.274.2Assuming normality and equal variances perform a hypothesis test.Use three decimal places in the table

Sum of squares: Sum of squares for groups: SST=∑i=16niX¯i-X¯¯2…

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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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Chell is testing several types of boots for durability when falling a long distance. She found six types of boots. For each boot she drops from increasing heights until she is injured. Her overall average was 72.5 feet, with a pooled standard deviation of 6.4. The data for each type is shown below.

	Number of boots	Std Dev (for each boot)	Mean height (in feet)
Steel	24	6.9	69.5
Titanium	7	8.9	69.4
Vibranium	18	5.2	73.3
Mithril	8	5.9	74.5
Netherite	13	4.4	75.4
Atium	15	7.2	74.2

Assuming normality and equal variances perform a hypothesis test.

Use three decimal places in the table

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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