BFW PublishersA company that produces office chairs uses two machines, machine A and machine B, to test the weights of its chairs in order toensure each chair is constructed properly. The manager of the company randomly selects 12 chairs to be tested by machine Aand 14 chairs to be tested by machine B. The table summarizes his data, including the standard error estimate (SE) for thedifference in the two means and the approximate number of degrees of freedom (df).PopulationPopulationDescriptionSamplesizeSamplemeanSample standarddeviationChairs tested by machine AChairs tested by machine BA = 12n=14A=49.6914x=46.71915A= 0.73943=2.1968The manager wishes to construct a 90% f-confidence interval comparing the sample means of the weights of chairs processed bymachine 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-confidenceinterval.m=(Round to 3 decimal places)

Let be the population means of the weights of chairs processed by machine A and machine B…

Answered: The manager wishes to construct a 90%…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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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.