Q1 Determine whether the data presents sufficient evidence to indicate a significant difference in mean functioning time before needing recharging among the three brands of battery packs. Show ALL 7 steps as have been illustrated in the videos on hypothesis testing.Q2 Rank the three treatment means by using the value of Tukey’s honestly significant difference (HSD) and then explain and interpret the given result in “plain English”, using no more than 2 sentences. A computer laboratory manager must choose between three brands of battery packs for use in alaboratory of laptop computers. A major concern is the time, in hours, the battery packs willfunction before needing to be recharged. The manager obtains a random sample of eightobservations for each of the three brands and records the information. The following ANOVA table(partial) was constructed for the data:Source of VariationdfSSMSFTreatments3.529Error0.2880Total

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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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Q1 Determine whether the data presents sufficient evidence to indicate a significant
difference in mean functioning time before needing recharging among the three brands
of battery packs. Show ALL 7 steps as have been illustrated in the videos on hypothesis
testing.

Q2 Rank the three treatment means by using the value of Tukey’s honestly significant
difference (HSD) and then explain and interpret the given result in “plain English”, using
no more than 2 sentences.

A computer laboratory manager must choose between three brands of battery packs for use in a
laboratory of laptop computers. A major concern is the time, in hours, the battery packs will
function before needing to be recharged. The manager obtains a random sample of eight
observations for each of the three brands and records the information. The following ANOVA table
(partial) was constructed for the data:
Source of Variation
df
SS
MS
F
Treatments
3.529
Error
0.2880
Total

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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