A company that produces office chairs uses two machines, machine A and machine B, to test the weights of its chairs in order to ensure each chair is constructed properly. The manager of the company randomly selects 8 chairs to be tested by machine A and 9 chairs to be tested by machine B. The table summarizes his data, including the standard error estimate (SE) for the difference in the two means and the approximate number of degrees of freedom (df).PopulationPopulationDescriptionSamplesizeSamplemeanSample standarddeviationAChairs tested by machine A??=8x¯A=44.3412??=2.5732BChairs tested by machine B??=9x¯B=48.9021??=4.0444 SE for difference1.6264df=13.6987 The manager wishes to construct a 95% t‑confidence interval comparing the sample means of the weights of chairs processed by machine A and machine B. The manager is not willing to assume that the population variances are equal.Determine the margin of error (?m) for the manager's 95% t‑confidence interval, rounded to four decimal places. You can use software or a ?t‑table to determine the critical value.

Name: A company that produces office chairs uses two machines, machine A and
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Description: A company that produces office chairs uses two machines, machine A and machine B, to test the weights of its chairs in order to ensure each chair is constructed properly. The manager of the company randomly selects 8 chairs to be tested by machine A

From the provided information, Standard error for difference (SE) = 1.6264 Degree of freedom (df) =…

Answered: A company that produces office chairs…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A company that produces office chairs uses two machines, machine A and machine B, to test the weights of its chairs in order to ensure each chair is constructed properly. The manager of the company randomly selects 8 chairs to be tested by machine A and 9 chairs to be tested by machine B. The table summarizes his data, including the standard error estimate (SE) for the difference in the two means and the approximate number of degrees of freedom (df).

Population	Population Description	Sample size	Sample mean	Sample standard deviation
A	Chairs tested by machine A	??=8	x¯A=44.3412	??=2.5732
B	Chairs tested by machine B	??=9	x¯B=48.9021	??=4.0444

SE for difference1.6264

df=13.6987

The manager wishes to construct a 95% t‑confidence interval comparing the sample means of the weights of chairs processed by machine A and machine B. The manager is not willing to assume that the population variances are equal.

Determine the margin of error (?m) for the manager's 95% t‑confidence interval, rounded to four decimal places. You can use software or a ?t‑table to determine the critical value.

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