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Suppose your firm has been experimenting with two different physical arrangement

ID: 3127611 • Letter: S

Question

Suppose your firm has been experimenting with two different physical arrangements of its assembly line. It has been determined that both arrangements yield the same average number of finished units per day. To obtain greater process control, you suggest that the arrangement with the smaller variance in the number of finished units per day be permanently adopted. Two independent random samples yield the results shown in the table

Assembly Line 1

Assembly Line 2

n1=21 days

n2=21 days

s1=60

s2=35

Select one:

A. c2 = 31.410

B. t = 1.725

C. F = 2.46

D. F = 2.12

Assembly Line 1

Assembly Line 2

1 = 85

2 = 87

n1=21 days

n2=21 days

s1=60

s2=35

Explanation / Answer

The suitable rejection region will be one corresponding to test statistic t. Since, sample size, sample mean and sample standard deviation of two samples are known, t test statistic is appropriat eto comapre the difference in means. Answer B.

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