An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 93 batteries from each manufacturer were measured. The population standard deviations of the voltage for each manufacturer are known. The results are summarized in the following table.ManufacturerSample mean voltage (millivolts)Population standard deviation (millivolts)A1534B1523What type of hypothesis test should be performed? Select:Two-tailed z-testRight-tailed z-testRight-tailed t-testLeft-tailed t-test What is the test statistic? Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α=0.01 significance level? Select: _____Yes OR _____No

Name: An electrician wants to know whether batteries made by two manufacture
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Description: An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 93 batteries from each manufacturer were measured. The population standard deviations of the voltage for each manufacturer

Given Manufacturer Sample mean voltage (millivolts) Population standard deviation (millivolts)…

Answered: An electrician wants to know whether…

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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An electrician wants to know whether batteries made by two manufacturers have significantly different voltages. The voltage of 93 batteries from each manufacturer were measured. The population standard deviations of the voltage for each manufacturer are known. The results are summarized in the following table.

Manufacturer	Sample mean voltage (millivolts)	Population standard deviation (millivolts)
A	153	4
B	152	3

What type of hypothesis test should be performed? Select:

Two-tailed z-test

Right-tailed z-test

Right-tailed t-test

Left-tailed t-test

What is the test statistic?

Does sufficient evidence exist to support the claim that the voltage of the batteries made by the two manufacturers is different at the α=0.01 significance level? Select: _____Yes OR _____No

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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