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
Viktor [21]
2 years ago
13

The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly

different when it comes to the number of defects present
Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between \\ (\mu - 6\sigma) and \\ (\mu + 6\sigma). It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027

For those with defects <em>operating at a 6 sigma level, </em>the probability is:

\\ 1 - p = 1 - 0.999999998027 = 0.000000001973

Similarly, for finding <em>no defects</em> in a 5 sigma level, we have:

\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697.

The probability of defects is:

\\ 1 - p = 1 - 0.999999426697 = 0.000000573303

Well, the defects present in a six sigma level and a five sigma level are, respectively:

\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}

\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}  

Then, comparing both fractions, we can confirm that a <em>6 sigma level is markedly different when it comes to the number of defects present:</em>

\\ {6\sigma} \approx \frac{2}{10^9} [1]

\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9} [2]

Comparing [1] and [2], a six sigma process has <em>2 defects per billion</em> opportunities, whereas a five sigma process has <em>600 defects per billion</em> opportunities.

You might be interested in
How do I do number 7 please help me with
riadik2000 [5.3K]
There is a Khana Academy video that explains everything you have to do and it’s the same page that you’re on
3 0
2 years ago
Joanie bought a total of 56 presents to put in 7 gift bags.She put 3 pencils and an equal number of stickers in each bag.How man
amid [387]

Answer:

5 stickers were put in each bag.

Step-by-step explanation:

There is a total of 56 presents and 7 gift bags. If she puts three pencils in each bag, 7 times 3 is 21. 56 presents minus 21 pencils is 35 presents left. 35 divided by 7 is 5, so there are 5 stickers in each bag.

7 0
2 years ago
Find the product of<br><br><br><img src="https://tex.z-dn.net/?f=%28%20%20-%2012x%20%5E%7B3%7Dyz%20%5C%3A%29%20and%20%28%20%20%2
Alex

(-12x^3 yz)(-4x^3yz^4)\\\\=48x^6y^2 z^5

3 0
2 years ago
Read 2 more answers
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below. (3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2) = 3y2 – 12y2 = –9y
vladimir2022 [97]

Answer:

No, She did not use the distributive property correctly.

Step-by-step explanation:

While multiplying (3-6y^2)(y^2+2), he did not use distributive property correctly. She only multiplied 3 with y^2 and not with 2. Also she multiplied -6y^2only with 2 and not with y^2.

6 0
2 years ago
Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. How much will he e
Snezhnost [94]

Answer:

Step-by-step explanation:

Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be

8.2x + 7.7y

Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is

(8.2 × 3) + (7.7 × 7)

= 24.8 + 53.9

= $78.7

4 0
2 years ago
Other questions:
  • HELP PLEASEEEEEEEEEEEEEEEEEE
    15·2 answers
  • Find the product, -7/9 × 3/5, -2/5 × -1 1/4, 1 3/4 × -1 1/4, 1 3/4 × -3/4, -7/8 × -1 3/7, answer all please and thank you
    10·1 answer
  • Hlp if u know the answer
    14·2 answers
  • The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 304 people entered the park
    14·1 answer
  • Caitlyn did 6/7 of the problems on her math correctly and 4 incorrectly. She did all the problems. How many were there?
    9·1 answer
  • Susan is buying supplies for a party. Spoons only come in bags of 2 and forks only come in bags of 16. What is the least number
    10·1 answer
  • Theresa has three hog panels. Panel A is 8 feet long, panel B is 9 feet long, and panel C is 3 feet long. If the full length of
    12·2 answers
  • 8 The graph of y = a cos(x + b) for 0 2<br> 1<br> 60<br> 120<br> 180<br> 240<br> 300<br> 360<br> -1<br> -2<br> (a) Find the valu
    6·1 answer
  • Use the scale factor 1:15 to find the missing dimension.
    13·1 answer
  • Find the area of the following figure and choose the appropriate result.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!