Components used in a cellular telephone are manu- factured with nominal dimension of 0.3 mm and lower and upper specification limits of 0.295 mm and 0.305 mm respectively. The x 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 chart at 0.3015 mm and the cen- ter line on the R chart at 0.00154 mm.

Required:
a. Estimate the mean and standard deviation of this process.
b. Suppose that parts below the lower specifica- tion limits can be reworked, but parts above the upper specification limit 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

Answers

Answer 1

Answer:

1. Mean = r bar = 0.0154mm

Standard deviation = 0.0009096

2. Proportion of rework produced = 30ppm or 0.0003%

Proportion of scrap = 60ppm or 0.0006%

3 recommended value = 0.3000

Step-by-step explanation:

The mean = x bar = 0.3015mm

Standard deviation = r bar/d2

R bar = 0.0154 mm

d2 = 1.693mm

= 0.0154mm/1.693mm

= 0.0009096mm

B. Lower specification 0.295

P(x<0.295)

= ϕ(0.295-0.3015/0.0009096)

This gives us 0.00003

So we conclude that 30 ppm or 0.0003% of the parts produced by the process would be reworked

For scrap,

X>0.305 upper specifications

1-ϕ(0.305-0.3015/0.0009096)

= 1-0.99994

= 0.00006

So we conclude that 60 ppm or 0.0006% of the parts produced by the process would be scrapped.

c. to get the recommended value of the process mean

= (0.305+0.295)/2

= 0.6/2

= 0.3000

the recommended value would be 0.3000


Related Questions

A random sample of 1175 people in a certain country

Answers

Answer:

c

Step-by-step explanation:

..........................

help. everything is in the picture.

Answers

The picture is completely black:/

the picture is completely blank

How
Solve The D. E

dy/dx=2x^5 y^3 - 4y/x

Answers

dy/dx (2x⁵ y³ - 4y/x)

dy/dx (2y³ x⁵ - 4y/x)

dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)

= 2y³ 5x⁴ - (-4y × 1/x²)

=
10x⁶ y³ + 4y
-------------------


1. Estimate the y intercept for the line of best fit for the data

2. What kind of correlation exists between the data graph

Answers

Answer:

10)  (15, 2)

11)  5

12)  positive

Step-by-step explanation:

Pls help asap!(this question is worth 20 points!)picture down below says question

Answers

Answer:

138

Step-by-step explanation:

c=5

d=4

6c^2-5d+8

substitute c & d

6(5)^2-5(4)+8

6(25)-20+8

150-20+8 = 138

An insector found 24 defective cameras during an inspection. If this is 0.016% of the total numbers of cameras inspected. How many cameras were inspected? ​

Answers

Answer:

150,000.

Step-by-step explanation:

Given that an insector found 24 defective cameras during an inspection and this is 0.016% of the total numbers of cameras inspected, to determine how many cameras were inspected the following calculation must be performed:

0.016 = 24

100 = X

100 x 24 / 0.016 = X

2,400 / 0.016 = X

150,000 = X

Thus, the total number of cameras that were inspected is 150,000.

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary:

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

HELP! Question down below

Answers

Answer:

B. Both are correct

Step-by-step explanation:

The graph correctly shows y=2x and the table is right.

Answer:

Your answer is.....

Both are correct

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

How many times greater is the area of Circle 1 than the area of Circle 2?If circle ones radius is 9 and circle twos radius is 3

Answers

It is 9 fr 100% pls trust me

The area of the circle {1} is 9 times greater than circle {2}.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is to find how many times greater is the area of circle 1 than the area of circle 2 if circle ones radius is 9 and circle twos radius is 3.

We can write the areas of both the circles as -

A{Ο} = πR²

A{Ο1} = π x 9 x 9

A{Ο2} = π x 3 x 3

We can write -

A{Ο1} / A{Ο2} = {π x 9 x 9} / {π x 3 x 3}

A{Ο1} / A{Ο2} = 9

A{Ο1} = 9A{Ο2}

Therefore, the area of the circle {1} is 9 times greater than circle {2}.

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help please...
Which graph represents a proportional relationship?

Answers

Answer:

Graph C.

Step-by-step explanation:

The graph which illustrates a proportional relationship is graph c because as the value on the Y-axis increases, the values on the X-axis increases consequently.

A direct proportion implies that the values of the quantities on both sides are increasing at a constant rate. Critically looking at graph c, you will notice or observe that the values both intersect at specific intervals or points on the graph.

Pls help extra points and mark brainlist

Answers

Answer:

it is c none of the above

Step-by-step explanation:

Please help me it hard

Answers

The mean is the average of all numbers so you add 9+8+12+6+10 and you get 45
Now count how many numbers there are or days which is 5

45 divided by 5 is 9

The answer is 9 pages per day

Hope this helps

Which angle is a corresponding angle to 8?

Answers

Answer:

angle 1 (the last option)

Step-by-step explanation:

hope this helps!

20 POINTS!! WILL GIVE BRAINLY!!

how much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exactly 2 inches?

Answers

Answer:

Hello! :) have a good day!

It would take 784 cm³ of solid iron to make the box.

488 cubic inches of metal is required to cast a cube with outer side 10 inches long if the thickness of its walls should be exactly 2 inches

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know the volume of a cuboid is side³.

Given, A cubical metal box with an outer side 10 inches long if the thickness of its walls should be exactly 2 inches.

So, (10 - 2) = 8 inches of the solid cube is hollow.

Therefore, The metal required is a solid cubical box with side of 8 inches subtracted from a solid cubical box with a side of 10 inches which is,

= 10³ - 8³.

= 1000 - 512.

= 488 cubic inches.

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HELP ASAP PLS!!!

Marsha recorded the time it took six children of different ages to run one lap around the track. Using the line of best fit, what is closest to the length of time it should take Marsha's 8 year old son to run one lap? Write the equation that represents the situation in slope-intercept form.

Answers

Answer:

176 seconds

Step-by-step explanation:

By using regression line calculator,

Equation of the line of best fit will be,

T = -12.55x + 276.52

Here , T = time taken to cover one lap

x = Age

If the age of Marsha's son is 8 years then expected time taken by her son to cover one lap will be,

T = -12.55(8) + 276.52

T = -100.4 + 276.52

T = 176.12 seconds

Therefore, approximate time taken by Marta's son will be 176 seconds.

Find the surface area of the rectangular prism. 8 yd 3 yd 3 yd pls help

Answers

Answer:

114

Step-by-step explanation:

add the areas of all 6 faces

the formula is A= 2(l*w)+2(l*h)+2(h*w)

A=2(8*3)+2(8*3)+2(3*3)=114

answer: 114yd^2

Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.

Answers

Answer:

Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.

Step-by-step explanation:

Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:

Jenny:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000

Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000

Frank:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 51,000 x 1.02 = 52,020

Year 3 = 52,000 x 1.02 = 53,060.40

4/40 in its simplest form

Answers

Answer:

1/10

Step-by-step explanation:

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

A trader makes a loss of 10% when he sells a watch for 15,300
what did it cost?​

Answers

Answer:

CP = 17000

Step-by-step explanation:

Given that,

Loss = 10%

Selling price of the watch, SP = $15,300

We need to find the cost price of the watch.

[tex]CP=\dfrac{100}{100-L\%}\times SP\\\\CP=\dfrac{100}{100-10}\times 15300\\\\CP=17000[/tex]

So, the cost price of the watch is 17000.

49/70 in its simplest form

Answers

Answer:

7/10

Step-by-step explanation:

Brainliest?!?!?!?!

Answer: 7/10

Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!

how do I show the relationship between the input and the output

Answers

Answer:

Types of Relationships between the Input and Output

The scatter plot can be a useful tool in understanding the type of relationship that exist between the inputs (X’s) and the outputs (Y’s)

Step-by-step explanation:

1. No Relationship: The scatter plot can give an obvious suggestion if the inputs and outputs on the graph are not related. The points will be scattered throughout the graph with no particular pattern. For no relationship to exist, points have to be completely diffused. If some points are in concentration, then maybe a relationship does exist and our analysis has not been able to uncover it.

2. Linear and Non-Linear: A linear correlation exists when all the points are plotted close together. They form a distinct line. On the other hand points could be close together but they could form a relationship which has curves in it. The nature of the relationship has wide ranging implications.

3. Positive and Negative: A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship.

On the other hand a negative relationship is one where more of one input leads to less of another output. This is also known as an inverse relationship.

4. Strong and Weak: The strength of the correlation is tested by how closely the data fits the shape. For instance if all the points are scattered very close together to form a very visible line then the relationship is strongly linear. On the other hand, if the relationship does not so obviously fit the shape then the relationship is weak.

I don't know if this was exactly what you were looking for; hope it is! :)

50 points!!!!!!!!!
Solve for x and y!!! Please help i will give crown!

Answers

Answer:

it is an iscoceles triangle..

so I think it should be 45 and 45

What number between 0 and 100 meets the following criteria? It is a multiple of three, a multiple of five, and an odd number. When you multiply the digits, you get an even number. When you add the digits, you get an odd number.

Answers

Answer:45

Step-by-step explanation:

9x5=45

15x3=45

4x5=20

4+5=9

I need help with this question

Answers

Answer:

j-10=35

j is 45

Step-by-step explanation:

35+10=45

A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.

Answers

Answer:

20%

Step-by-step explanation:

Subtract the original number from the new number: 90-75=15

The increase is 15

Now divide the increase by the original number: 15/75=.20

Then multiply your answer by 100: .20x100=20

Find the standard deviation of the given data rounded to the nearest hundredth, 147,141,120,124,128

Answers

Answer:

The correct answer is 10.30

Step-by-step explanation:

First, find the mean of the numbers by averaging them. Then, subtract the observation from the mean. Square them, then average them. Find the square root of this number and round to the nearest hundredth.

Answer:

10.30

Step-by-step explanation:

What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)

Answers

Answer:

2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =

Step-by-step explanation:

Answer:

48/100

Step-by-step explanation:

because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.

What is the reciprocal of 1,058

Answers

Answer:

0.00094517958

Step-by-step explanation:

this is a answer I think so

In your own words describe the relationship between wave frequency and the energy of the wave!!! YOUR OWN WORDS please
**✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿**

Answers

Answer:

Hey! :)

Step-by-step explanation:

You could create a wave with a higher frequency on a rope by wiggling up and down at a faster rate, the wave should become shorter. Clearly you will find a relationship between wave length and frequency :)

*✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿****✿❀ ❀✿**

Have a nice day! :)

Carlos, Margaret, and James are playing a board game with a spinner. The spinner goes from 1 to 6. They
start by spinning to see who will go first. (Highest number will go first.)
1. First, Carlos spins a 3. How likely do you think it is that Margaret will get a higher number?

Answers

The answer would be 1/2. The probability of Margaret getting any number on the spinner would be 1/6. Since 3 doesn’t count, that means that Margaret can get the numbers 4, 5, and 6. Because of that you would do 1/6 * 3 which gets you 1/2.

Probability that Margaret will get a higher number than Carlos is 3/2.

What is probability?

Probability is the measure of the likelihood of an event to occur.

Formula of probability

P(E) = number of favorable outcomes/ total number of outcomes

Where, P(E) is the probability of an event.

According to the question we have,

A spinner goes from 1 to 6.

sample space = {1, 2, 3, 4, 5, 6}

Total number of outcomes = 6

Also, Carlos spins 3.

So, the numbers which required to win the game by Margaret are 4, 5 ,6 (greater than 3).

Total number of favorable outcomes = 3

Therefore,

The probability that Margaret will get a higher number than Carlos = [tex]\frac{3}{2}[/tex]

Learn more about probability here:

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