Components used in a cellular telephone are manufactured with nominal dimension of .3 mm and lower and upper specification limits of .295 mm and .305 mm respectively. the x bar and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x bar chart at .3015 mm and the center line of the R chart at .00154 mm.
a) Estimate the mean and standard deviation of this process.
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Xbar = 0.3015 ; Rbar = 0.00154

USL = 0.295 ; LSL = 0.305

For a subgroup size of 3 ; k = 3 ; d2 = 1.693

The mean = xbar = 0.3015 mm

The standard deviation = Rbar / d2 = 0.00154 / 1.693 = 0.0009096

b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3015) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3015) / 0.0009096 = 3.847

1 - P(Z < 3.847)

1 - 0.99994

= 0.00006

0.00006 should be reworked.

c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Recommended mean = 0.3000 mm

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3000) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3000) / 0.0009096 = 5.497

1 - P(Z < 5.497)

1 - 0.99997

= 0.00003

0.00003 should be reworked.


Related Questions

can someone plz help me out

Answers

Step-by-step explanation:

A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.

Please help with this practice quiz!!

Answers

Answer:

slope is 9

Step-by-step explanation:

use the formula y=mx+b wherein m is the slope and b is the y-intercept

to solve for m, use formula (y2-y1)/(x2-x1):

[tex]\frac{127-1}{5-(-9)}[/tex] = [tex]\frac{126}{14}[/tex] (you add 5 and 9 together because negative + negative is positive)

126/14 = 9

please help me asap!!

Answers

Answer:

3

Step-by-step explanation:

If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3

Answer:

f=3

Step-by-step explanation:

5/10=x/6

10x=30

x=3

At a football stadium, 4% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

solution

4%=260

100%=?

=(100x260)/4

=6500

Percentage of fans in the stadium who were teenagers = 4%

Number of teenagers in the match = 260

Let the total number of people at the stadium be x.

Which means :

[tex] =\tt 4\% \: \: of \: \: x = 260[/tex]

[tex] =\tt \frac{4}{100} \times x = 260[/tex]

[tex] =\tt \frac{4 \times x}{100} = 260 [/tex]

[tex] = \tt \frac{4x}{100} = 260[/tex]

[tex] = \tt4x = 260 \times 100 \\ \tt \: \: \: = 26000[/tex]

[tex] =\tt x = \frac{26000}{4} [/tex]

[tex]\color{plum} =\tt x = 6500[/tex]

▪︎Therefore, number of people at the stadium = 6500


Line A is parallel to Line B
9. In the diagram, what is the value of x?
A. 78°
B. 108°
C. 98°
D. 82

Answers

Answer:

D or A

Step-by-step explanation:

D or A. STEP BY STEP EXPLANATION btw

Find the slope of the line represented in the table.
x

Answers

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

Find the area of the trapezoid

Answers

Answer:

1/2(l1+l2) is the area of trapezium

Answer:

A=a+b /2h

Step-by-step explanation:

If a dozen eggs cost $3.84 calculate the cost of 30 eggs

Answers

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

$9.60 ............................


Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA

Answers

Answer:

Second one:

AAS

Step-by-step explanation:

searched it

açıl hızlı cevap verin lütven​

Answers

Answer:12

Step-by-step explanation:

4/40 in its simplest form

Answers

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

Fire Warden Armband
$7.50 each
$6.50 each
First Aid Armband
$7.00 each
$6.00 each
Which of the following items showed the greatest percentage discount in price for
buying in bulk?
Jackets
Trousers
Rucksacks
Belts
Fire Warden Caps
Submit
© Copyright IBM Corp. 2012, 2021

Answers

It is Fire warden caps.

6 Item 6 For a specific species of fish in a pond, a wildlife biologist wants to build a regression equation to predict the weight of a fish based on its length. The biologist collects a random sample of this species of fish and finds that the lengths vary from 0.75 to 1.35 inches. The biologist uses the data from the sample to create a single linear regression model. Would it be appropriate to use this model to predict the weight of a fish of this species that is 3 inches long

Answers

Answer:

Yes, because the regression equation is based on the random sample.

Step-by-step explanation:

A simple linear regression model that describes the relationship between X and Y takes the form

Yi= ∝ + βXi + εi or

Y i= U(y.x) + εi

where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) ,  as the only random element in the is  εi.

The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi

. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.

How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9

Answers

Answer:

Step-by-step explanation:

1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9

use multiplication first, multiply 1/5 and 1/9 to get 1/45
then add 1/3,
(multiply 1/3 by 15/15 to get 15/45)

add 15/45 and 1/45 to get 16/45

em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?​

Answers

Answer:

Average speed in km / h = 2.7 km/h

Step-by-step explanation:

Given:

Total distance = 54,000 m

Total time = 72,000 sec

Find:

Average speed in km / h

Computation:

Average speed = Distance / Time

Average speed = 54,000 / 72,000

Average speed = 0.75 m/s

1 m/s = 3.6 km/h

So,

Average speed in km / h = 0.75 x 3.6

Average speed in km / h = 2.7 km/h

15 PTS NEED ASAP HELP !!!

Answers

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

Help ASSp please work out the value of A

Answers

Answer:

A = 3x^2 - 3

   ---------------

          2

Step-by-step explanation:

If the perimeter is 56 cm..

x - 1 + 3x + 3x + 1 = 56

7x = 56

x=8

The x - 1 side = 7

The 3x = 1 side - 25

The ex side = 24

The area of a triangle = base time height divided by 2.

So...

x-1 times 3x divided by 2 is your equation.

3x(x - 1) = 3x^2 - 3

A = 3x^2 - 3/2

Hope this is correct!!!

At 1:00 a.m., the temperature is 58º. At 9:00 a.m., the temperature is 76º. Find the rate of change in degrees per hour during this time.​

Answers

Answer:

1 AM = 58 Degrees

9 AM = 76 Degrees

Difference of temperate between the times:

18 Degrees

Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9

18 / 8 = 2.25

Which means, the rate of change in degrees per hour is 2.25 degrees.

Step-by-step explanation:

According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses:_______.
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?

Answers

Step-by-step explanation:

H0 : µ ≤ 26.9

Ha : µ > 26.9

a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.

b. type 1 error happens when we reject a true null hypothesis.

this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.

the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.

c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9

the consequence is that it would be harder to accept a true h0 at a high level of significance

5
A line passes through the point (4, -3) and has a slope of
4
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 4x -19

Step-by-step explanation:

y = 4x + b

first we add the point to the equation and then we solve for b

-3 = 4 ( 4 ) + b

-3 = 16 + b

     -16

-19 = b

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

Answers

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

Round The Following Number: 194,332.125

Answers

Answer:

The answer is 194000

Step-by-step explanation:

It is closer to 194000 than 195000

How many types of congruence criterion are in total.Name them​

Answers

Answer:

Various types of Congruency are:

1. ASA (Angle Side Angle)

2. SSS (Side Side Side)

3. SAS (Side-Angle-Side)

4. AAS (Angle-Angle-Side)

5. RHS (Right angle-Hypotenuse-Side)

As of what I had learned (class 9) this is all but I am not sure if there are more

وبوبوبنبىبىبىبىبىبىبىىبنبهزا

15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help

Answers

Give me a sec please

10. A rectangle has a perimeter of 22 cm. If the length of the rectangle is 2 cm more than two times the
width, what are its dimensions?

Answers

Answer:

w = 3 cm

l = 8 cm

Step-by-step explanation:

let 'w' = width

let '2 + 2w' = length

P = 2l + 2w

22 = 2(2 + 2w) + 2w

22 = 4 + 4w + 2w

22 = 4 = 6w

18 = 6w

w = 3

length = 2 + 2(3) = 18

Bob bought 24 hockey tickets for 83$

Answers

Answer:

i think the answer is $3.45

Step-by-step explanation:

just had to divide the two numbers

Find the Area: 12 ft 12 ft​

Answers

a=12 ft

Po=(0.25×π×a²)

Pc=a²+0.5×Po

Pc=a²+0.5×(0.25×π×a²)

Pc=a²×(1+0.5×0.25×π)

Pc=a²×(1+0.5×0.25×π)

Pc=144×(1+0.5×0.25×π)

Pc≈200.55 ft²

A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling ​

Answers

Divide miles by time:

77 9/16 miles / 8 1/2 hours =

Rewrite as I’m proper fractions:

1241/16 / 17/2

Flip the second fraction over and multiply:

1241/16 x 2/17 = (1241x2)/(16x17) =

2482/272 = 9 1/8 miles per hour

Hi there!

Simplify each terms:

[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]

Divide each terms:

[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]

Simplify terms:

[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]

Final Result:

[tex]9\frac{1}{8}[/tex]

An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Amount of decrease = 82-60 = 22

percentage decrease = 22/82 ≅ 0.268 = 26.8%

The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly

Answers

Answer:

d

Step-by-step explanation:

of course it is Charlie as he just walked 11.8 miles

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