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# ACC 300 Assignment 10

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Author: Dannie Young
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1. Problem 10-2
An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of .95 liter and a standard deviation of .05 liter. Output is monitored using means of samples of 27 observations. Use Table-A.

a.   Determine upper and lower control limits that will include roughly 97 percent of the sample means when     the process is in control. (Do not  round  intermediate  calculations.  Round  your  answers  to  4 decimal  places.)
2.Problem 10-17
The process specs are 9.4 and 10.6 minutes. Based on the data given.

Sample 1

Sample 2

Sample 3

Sample 4

Sample 5

10.1

10.2

9.8

9.6

10.3

10.3

10.3

9.9

10.3

10.1

10.1

10.5

9.9

9.5

9.6

10.2

10.1

10.2

9.8

9.8

Totals

40.7

41.1

39.8

39.2

39.8

Does it appear that the specs are being met?
3. Problem 10-21
A process that produces computer chips has a mean of .04 defective chip and a standard deviation of .003  chip. The allowable variation is from .035 to .045    defective.

Compute the capability index (Cp) for the  process.  (Round  your  intermediate  calculations  to  3 decimal places and final answer to 2 decimal    places.)
4. Problem 10-23
Suppose your manager presents you with the following information about machines that could be used for a job, and wants your recommendation on which one to choose. The specification width is .48 mm. In this instance, you can narrow the set of choices, but you probably wouldn’t make a recommendation without an additional piece of information. (Round your answers to 3 decimal places.)

Machine

Cost per Unit (\$)

Standard Deviation (mm)

A

17

.053

B

12

.060

C

12

.074

D

10

.065

5. Problem 10-25
An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis. The  company has set an acceptable range  of  repair  time  of  50  minutes  to  90  minutes.  Two  firms  have submitted bids for the work. In test trials, one firm had a mean repair time of 74 minutes with a standard deviation of 4.0 minutes and the other firm had a mean repair time of 72 minutes with a standard deviation of  5.1 minutes. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Firm                             Cpk

Which firm would you choose?
6. Problem 10-28
The following is a control chart for the average number of minor errors in 22 service reports.

(more)
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