Economic Order Quantity and Decimal Places
value:
10 points
Problem 101
Specifications for a part for a DVD player state that the part should weigh between 25.2 and 26.2 ounces. The process that produces the parts has a mean of 25.7 ounces and a standard deviation of .25 ounce. The distribution of output is normal. Use TableA.
a. What percentage of parts will not meet the weight specs? (Round your "z" value and final answer to 2 decimal places. Omit the "%" sign in your response.)
Percentage of parts % 
b. Within what values will 95.44 percent of sample means of this process fall, if samples of n = 8 are taken and the process is in control (random)? (Round your answers to 2 decimal places.)
Lower value , Upper value 
rev: 02_06_2012
rev: 03_15_2012
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Problem 103
Checkout time at a supermarket is monitored using a mean and a range chart. Six samples of n = 20 observations have been obtained and the sample means and ranges computed:
Sample Mean Range Sample Mean Range
1 3.06 .42 4 3.13 .46
2 3.15 .47 5 3.06 .46
3 3.11 .41 6 3.09 .45

Factors for threesigma control limits for and R charts
  
FACTORS FOR R CHARTS
Number of Observations in Subgroup,
n Factor for
Chart,
A2 Lower
Control Limit,
D3 Upper
Control Limit,
D4
2  1.88 0 3.27 3  1.02 0 2.57 4  0.73 0 2.28 5  0.58 0 2.11 6  0.48 0 2.00 7  0.42 0.08 1.92 8  0.37 0.14 1.86 9  0.34 0.18 1.82 10  0.31 0.22 1.78 11  0.29 0.26 1.74 12  0.27 0.28 1.72 13  0.25 0.31 1.69 14  0.24 0.33 1.67 15  0.22 0.35 1.65 16  0.21 0.36 1.64 17  0.20 0.38 1.62 18  0.19 0.39 1.61 19  0.19 0.40 1.60 20  0.18 0.41 1.59 
a. Using the factors in the above table, determine upper and lower limits for mean and range charts. (Round your intermediate calculations and final answers to 4 decimal places.)
 
Upper limit for mean 
Lower limit for mean 
Upper limit for range 
Lower limit for range 

b. Is the process in control?
 
  Yes
 No

Problem 104
Computer upgrades have a nominal time of 80 minutes. Samples of five observations each have been taken, and the results are as listed.

SAMPLE
1 2 3 4 5 6
79.2 80.5 79.6 78.9 80.5 79.7
78.8 78.7 79.6 79.4 79.6 80.6
80.0 81.0 80.4 79.7 80.4 80.5
78.4 80.4 80.3 79.4 80.8 80.0
80.6 80.1 80.8 80.6 78.8 81.1

Factors for threesigma control limits for and R charts
   FACTORS FOR R CHARTS
Number of Observations in Subgroup,
n Factor for
Chart,
A2 Lower
Control Limit,
D3 Upper
Control Limit,
D4
2  1.88 0 3.27 3  1.02 0 2.57 4  0.73 0 2.28 5  0.58 0 2.11 6  0.48 0 2.00 7  0.42 0.08 1.92 8  0.37 0.14 1.86 9  0.34 0.18 1.82 10  0.31 0.22 1.78 11  0.29...
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