The manager wishes to construct a 90% 1-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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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BFW Publishers
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 12 chairs to be tested by machine A
and 14 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
Chairs tested by machine A
Chairs tested by machine B
A = 12
n=14
A=49.6914
x=46.7191
5A= 0.7394
3=2.1968
The manager wishes to construct a 90% f-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.
Using the conservative degrees of freedom, df = 11, determine the margin of error (m) for the manager's 90% 1-confidence
interval.
m=
(Round to 3 decimal places)
Transcribed Image Text:BFW Publishers 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 12 chairs to be tested by machine A and 14 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 Chairs tested by machine A Chairs tested by machine B A = 12 n=14 A=49.6914 x=46.7191 5A= 0.7394 3=2.1968 The manager wishes to construct a 90% f-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. Using the conservative degrees of freedom, df = 11, determine the margin of error (m) for the manager's 90% 1-confidence interval. m= (Round to 3 decimal places)
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