Answered: - To decide whether or not to purchase a new hand-held laser

To decide whether or not to purchase a new hand-held laser scanner for use in inventorying stock, tests are conducted on the scanner currently in use and on the new scanner. These data are obtained on the number of 7-inch bar codes that can be scanned per second:

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new ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? old

n1 = 61 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?n2 = 61

x1(bar) = 40 ? ? ? ? ? ? ? ? ? ? ? ? ? ? x2(bar) = 29

? ?2 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?2

s ? ? ?= 24.9 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? s ? ? ? = 22.7

? 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 2

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? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?2 ? ? ? ? ? ? ? ? ?2

#1. Test H0: sigma ? ? ?= ?sigma ? ? ? at the alpha = 0.2 level to be sure that pooling is appropriate.

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 1 ? ? ? ? ? ? ? ? ? 2

#2. Does the new laser appear to read more bar codes per second on the average ? Explain.

#3. Since the number of bar codes that can be scanned per second is discrete, we have not satisfied the normality requirement. What theorem justifies the use of the pooled T procedure in this case ?

To decide whether or not to purchase a new hand-held laser scanner for use in inventorying

 

stock, tests are conducted on the scanner currently in use and on the new scanner. These data are

 

obtained...

 

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Oct 07, 2020

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