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 |
81.0 | 80.1 | 80.8 | 80.6 | 78.8 | 81.1 |
Factors for three-sigma control limits for x¯
and R charts
FACTORS FOR R CHARTS |
||||
Number of Observations
in Subgroup, n |
Factor
for x¯ |
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 factors from above table, determine upper and
lower control limits for mean and range charts. (Round your
intermediate calculations and final answers to 2 decimal places.
Leave no cells blank - be certain to enter "0" wherever
required.)
Mean Chart | Range Chart | |
UCL | ||
LCL | ||
b. Decide if the process is in control.
Yes
No
Computer upgrades have a nominal time of 80 minutes. Samples of five observations each have been ...
Samples of five observations have been taken and are shown below: Sample 79.2 78.8 80.0 78.4 81.0 80.5 78.7 81.0 80.4 80.1 79.6 79.6 80.4 80.3 80.8 78.9 79.4 79.7 79.4 80.6 80.5 79.6 80.4 80.8 78.8 79.7 80.6 80.5 80.0 81.1 Determine upper and lower control limits. Round all intermediate values to a maximum of three decimals. Round Mean and Range chart control limits to three decimals.
Specifications for the computer upgrades are 76 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) SAMPLE 1 2 3 4 5 6 79.2 80.1 79.6 78.9 80.4 79.7 79.7 78.7 79.6 78.7 79.6 80.6 80.0 81.0 80.2 79.7 80.4 80.5 78.4 80.4 80.3 79.4 78.8 80.0 81.0 80.1 80.8 80.6 78.8 81.1
Specifications for the computer upgrades are 76 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) SAMPLE 1 2 3 4 5 6 79.2 78.4 79.6 78.9 80.5 79.7 81.9 78.7 79.6 79.8 79.6 80.6 80.0 81.0 78.9 79.7 80.4 79.1 78.4 80.4 80.3 79.4 78.5 80.0 81.0 80.1 80.8 80.6 78.8 81.1 Expected process output ...
Specfications for the computer upgrades are 78 minutes and 81 minutes Estimate the percentage of process output that can be expected to fall within the specifications. Hint. The normality assumption does not hold. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) SAMPLE 4 6 79.2 80.5 79.6 78.9 80.5 79.7 78.8 78.7 79.6 79.4 79.6 8e.6 80.0 81.0 80.4 79.7 80.4 80.s 78.4 80.4 80.3 79.4 80.8 8e.e 81.0 80.1 80.8 8.6 78.8 81.1...
Specifications for the computer upgrades are 77 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) SAMPLE $$ \begin{array}{cccccc} 1 & 2 & 3 & 4 & 5 & 6 \\ 79.2 & 83.2 & 79.6 & 78.9 & 80.8 & 79.7 \\ 80.3 & 78.7 & 79.6 & 79.2 & 79.6 & 80.6 \\ 80.0 & 81.0...
Specifications for the computer upgrades are 76 minutes and 81 minutes. Estimate the percentage of process output that can be expected to fall within the specifications. (Round your answer to 1 decimal place. Omit the "%" sign in your response.) SAMPLE 79.2 79.6 79.6 78.9 80.2 79.7 80.0 78.7 79.6 80.3 79-6 80.6 80.0 81.0 79.0 79.7 80.4 80.8 78.4 80.4 80.3 79-4 80.9 80.0 81.0 80.1 80.8 80.6 78.8 81.1 -96 Expected process output
Q1[10 pts]. Computer upgrades have a targeted time of 80 minutes. Six samples of 5 observations each have been taken, and the results are listed below. Determine the appropriate 98% control chart(s) for monitoring the process. Is the process stable (i.e., in-control)? 2 3 4 6 80 79.5 79.4 79.3 79 80.2 80.1 80 80.5 79.6 79 78.2 80 81.2 80.9 80.5 79.9 80.4 80.1 81 78.9 81 81.1 80.1 81 82 79.8 80.4 79.6 Q1[10 pts]. Computer upgrades have...
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 .49 5 3.06 .46 3 3.11 .41 6 3.09 .45 Factors for three-sigma control limits for x¯x¯ and R charts FACTORS FOR R CHARTS Number of Observations in Subgroup, n Factor for x¯x¯ Chart, A2 Lower...
6.15. Parts manufactured by an injection molding process are subjected to a compressive strength test. Twenty samples of five parts each are collected, and the compressive strengths (in psi) are shown in Table 6E.11. (a) Establish 7 and R control charts for compressive strength using these data. Is the process in statis- tical control? (b) After establishing the control charts in part (a), 15 new subgroups were collected and the com- pressive strengths are shown in Table GE.12. Plot the...
The time to replace vehicle wiper blades at a service center was 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 .50 5 3.06 .46 3 3.11 .41 6 3.09 .45 Factors for three-sigma control limits for and R charts FACTORS FOR R CHARTS Number of Observations in Subgroup, n...