1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
raketka [301]
3 years ago
7

Process control is nothing more or less than monitoring quality as the work is being performed. Perhaps the most widely adopted

approach to process control is the use of control charts. Control charts can be developed and used to manage both characteristics (X-bar charts) and attributes (p-charts). Further, control charts can and should be used throughout the value-added process; that is, in purchasing, production, and logistics operations. Similarly, control charts can be used to improve quality in both manufacturing and service environments.
Three types of information must be available to set up a control chart. These are 1) a desired target, 2) a measure of variability around the target, and 3) a managerial assessment of required quality level. The target generally takes the form of a mean or average; the variability is usually measured via a variance (standard deviation); and the assessment of required quality level is expressed using a z-score. It is important to remember that the measure of variability be expressed in terms consistent with the "items" being plotted on the control chart--this usually requires that a standard deviation be transformed into a standard error. When using a control chart, the process operator looks for occurrences when the process is out of control (exceeds control limits) or when "bad" trends emerge. Over time, the causes of these occurrences can be identified and eliminated such that the process is improved continually. Finally, remember that the process must be in control when the control chart is set up (otherwise GIGO!).
For the following process, answer the following questions.
1. What is the grand mean or target?
2. What is the standard deviation?
3. What is the standard error?
4. With a Z-score of 3, what are the upper and lower limits?

Twenty samples of four items each were taken to set up the control chart. The design target = 2.80 cm.

Sample Measures within the Sample
1 2.81 2.79 2.78 2.80
2 2.81 2.79 2.80 2.83
3 2.79 2.77 2.80 2.81
4 2.81 2.78 2.79 2.81
5 2.82 2.79 2.80 2.78
6 2.78 2.79 2.82 2.80
7 2.80 2.80 2.81 2.79
8 2.79 2.80 2.80 2.82
9 2.78 2.78 2.81 2.80
10 2.81 2.79 2.80 2.81
11 2.78 2.82 2.79 2.80
12 2.80 2.82 2.81 2.79
13 2.78 2.79 2.78 2.81
14 2.81 2.82 2.80 2.79
15 2.78 2.82 2.81 2.79
16 2.79 2.80 2.79 2.82
17 2.80 2.81 2.80 2.78
18 2.80 2.80 2.79 2.82
19 2.78 2.82 2.79 2.79
20 2.77 2.81 2.82 2.80
Mathematics
1 answer:
ella [17]3 years ago
8 0

Answer:

a. Grand Mean = 2.799

b. Standard Deviation = 0.01387

c. Standard Error = 0.0016

d. The range with a Z score of 3 = (2.75739, 2.84061)

Step-by-step explanation:

a. Grand mean :

Given that

Sum of 80 values = 223.91

Total observation = 80

Grand mean = 223.91/80 = 2.799

b. With the excel command "STDEV[range of cells]", we get the standard deviation as = 0.01387

c. Standard error =  Standard deviation / root of n

= 0.01387/\sqrt{80}\\ = 0.0016

d. The range with a Z score of 3 :

lower limit = mean - (3 * SD) = 2.799 - (0.04161) = 2.75739

upper limit = mean + (3 * SD) = 2.799 + (0.04161) = 2.84061

You might be interested in
In a triangle ABC, tan (a) = 20/21. Find sin (a) and cos (a)
sesenic [268]
Answer:

sin(a)=20/29

cos(a)=21/29
6 0
3 years ago
Tim drives at an average speed of 80km per hour for 3 hours and 45 minutes. How many kilometers does Tim drive
anastassius [24]

Answer:

Distance = (Average speed) * Time = 80 km/h * (3 hours 45 minutes) = 80 km * 3 3/4 hours = 300 kilometers.

Step-by-step explanation:

7 0
3 years ago
Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m
suter [353]

Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week                              1           2            3           4            5

             Water Level (inches) − 1 1 4     1 3 8      2 1 2      -1 5 8      -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

Proof -

The formula for change in water level with respect to week be-

Rate of Change in Water Level = Difference in water level / Difference in weeks

Now,

For week 1 and week 2

Rate of change in water level = \frac{138 - 114}{2 - 1} = \frac{24}{1} = 24 inches

Now,

For week 1 and week 3

Rate of change in water level = \frac{212 - 114}{3 - 1} = \frac{98}{2} = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = \frac{-158 - 114}{4 - 1} = -\frac{272}{3} = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = \frac{-134 - 114}{5 - 1} = -\frac{248}{4} = -62 inches

Now,

For week 2 and week 3

Rate of change in water level = \frac{212 - 138}{3 - 2} = \frac{74}{1} = 74 inches

Now,

For week 2 and week 4

Rate of change in water level = \frac{-158 - 138}{4 - 2} = -\frac{296}{2} = -148 inches

Now,

For week 2 and week 5

Rate of change in water level = \frac{-134 - 138}{5 - 2} = -\frac{272}{3} = -90.67 inches

Now,

For week 3 and week 4

Rate of change in water level = \frac{-158 - 212}{4 - 3} = -\frac{370}{1} = -370 inches

Now,

For week 3 and week 5

Rate of change in water level = \frac{-134 - 212}{5 - 3} = -\frac{346}{2} = 173 inches

Now,

For week 4 and week 5

Rate of change in water level = \frac{-134 + 158}{5 - 4} = \frac{24}{1} = 24 inches

∴ we get

The water level change the most in week 3 and week 4

The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

7 0
2 years ago
Paul purchased 3 video games for $17.25 each. Which expression is the best choice to help him determine the total amount of mone
amid [387]
(3)(17.25) = 51.75; he spent $51.75

Because everything in the problem is positive, no negative numbers are needed.
8 0
3 years ago
Read 2 more answers
A box contains
Usimov [2.4K]
<span>the probability that a pen from the first box is selected
= total number of pens in 1st box/total number of objects in box 1
= 5/12

</span>the probability that a crayon from the second box is selected 
= total number of crayons in 2nd box/total number of objects in box 2
= 6/8 = 3/4
7 0
3 years ago
Other questions:
  • The ordered pair (3,9) is located in what quadrant? Quadrant I Quadrant II Quadrant III Quadrant IV 2 points QUESTION 2 If you m
    5·2 answers
  • Please help me!! I don't know how to do this
    13·1 answer
  • How many times can 3 go into 6.
    9·2 answers
  • PLEASE HELP!!
    9·1 answer
  • Find the exact length of the third side
    6·1 answer
  • How many times does 5 go in to 47
    6·1 answer
  • IGIVEEE BRAI8NLILSATTTTT
    7·1 answer
  • Expand the following. In other words, remove the parentheses (brackets):
    11·1 answer
  • I need help on these questions
    8·1 answer
  • Hello can anyone help me with these problems please and thank you
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!