Construct a 95​% confidence interval for the population standard deviation σ for the single line Construct a 95% confidence interval for the population standard deviation σ for the individual lines. Determine whether there is a difference in variation between the two data sets. Which configuration appears to be​ better?

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A hospital experiment involves two different waiting line configurations for patients arriving for admission. The waiting times​ (in seconds) are recorded with a​ single-line configuration that feeds four stations and another configuration with individual lines at the four stations. Determine whether there is a difference in variation between the two data sets using 95​% confidence interval estimates. Which configuration appears to be​ better? Assume that each sample is a simple random sample obtained from a population with a normal distribution.
 
Single Line
388
395
407
414
417
433
452
475
475
475
 
Individual Lines
252
315
362
382
430
475
475
527
569
602

Construct a 95​% confidence interval for the population standard deviation σ for the single line

Construct a 95% confidence interval for the population standard deviation σ for the individual lines.

Determine whether there is a difference in variation between the two data sets. Which configuration appears to be​ better?
 
A.
The variation appears to be significantly lower with a​ single-line system. The​ multiple-line system appears to be better.
 
B.
The variation appears to be significantly lower with a​ multiple-line system. The​ single-line system appears to be better.
 
C.
The variation appears to be significantly lower with a​ multiple-line system. The​ multiple-line system appears to be better.
 
D.
The variation appears to be significantly lower with a​ single-line system. The​ single-line system appears to be better.
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