A process is normally distributed and in control, with known mean and variance, and the usual three-sigma limits are used on the control chart, so that the probability of a single point plotting outside the control limits when the process is in control is 0.0027. Suppose that this chart is being used in phase I and the averages from a set of m samples or subgroups from this process are plotted on this chart. What is the probability that at least one of the averages will plot outside the control limits when m = 5? Repeat these calculations for the cases where m = 10, m = 20, m = 30, and m = 50.

Required:
Discuss the results that you have obtained.

Answers

Answer 1

Answer:

The solution to the issue is outlined in the following portion of the summary.

Step-by-step explanation:

The given value is:

p = 0.0027

When m = 5,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 5C0 (0.0027)^0 (1 - 0.0027)^5[/tex]

                   [tex]= 1 - 0.9866[/tex]

                   [tex]=0.0134[/tex]

When m = 10,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 10C0 (0.0027)^0 (1 - 0.0027)^{10}[/tex]

                   [tex]=1 - 0.9733[/tex]

                   [tex]= 0.0267[/tex]

When m = 20,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 20C0 (0.0027)^0 (1 - 0.0027)^{20}[/tex]

                   [tex]=1 - 0.9474[/tex]

                   [tex]=0.0526[/tex]

When m = 30,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]=1 - 30C0 (0.0027)^0 (1 - 0.0027)^{30}[/tex]

                   [tex]=1 - 0.9221[/tex]

                   [tex]=0.0779[/tex]

When m = 50,

⇒ [tex]P (x \geq 1) = 1 - P (x = 0)[/tex]

                   [tex]= 1 - 50C0 (0.0027)^0 (1 - 0.0027)^{50}[/tex]

                   [tex]= 1 - 0.8736[/tex]

                   [tex]=0.1264[/tex]


Related Questions

Show that each conjecture is false by finding a counterexample.


1.For any integer n, n3 > 0.


2. Each angle in a right triangle has a different measure.


3.For many years in the U.S, each bank printed its own currency. The variety of different bills led to widespread counterfeiting. By the time of the Civil War, a significant fraction of the currency in circulation was counterfeit. If one soldier had 48 bills, 16 of which were counterfeit, and another soldier had 39 bills, 13 of which were counterfeit, make a conjecture about what fraction of bills were counterfeit at the time of the Civil War.

Answers

Answer:

1.   [tex]n: n^3 > 0[/tex] is not true for negative integers

2.  [tex]45\ and\ 45[/tex] show that all angles do not have different measure

3.  [tex]Fraction = \frac{1}{3}[/tex]

Step-by-step explanation:

Solving (1):

[tex]n: n^3 > 0[/tex]

Take

[tex]n = -1[/tex]

[tex]-1^3 = -1[/tex]

[tex]n: n^3 > 0[/tex] is not true for negative integers

Solving (2):

The angles of a right angled triangle are:

[tex]45, 45\ and\ 90[/tex]

[tex]45\ and\ 45[/tex] show that all angles do not have different measure

Solving (3):

When

[tex]Bills = 48[/tex]

[tex]Counterfeit = 16[/tex]

The fraction is calculated as thus:

[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]

[tex]Fraction = \frac{16}{48}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

Similarly, when

[tex]Bills = 39[/tex]

[tex]Counterfeit = 13[/tex]

[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]

[tex]Fraction = \frac{13}{39}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error

Answers

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm.
What is its surface area?
Show your reasoning.
I got 48 cm2

Answers

Answer:

i got 48

Step-by-step explanation:

2(5*2)

2(2*5)

2(2*2)

The rectangle below has been enlarged by a scale of 3.5

Answers

you put “the rectangle below” but it doesn’t show any rectangle and what’s the question ?

Answer:

D: 588

Step-by-step explanation:

The rectangle below has been enlarged by a scale of 3.5

8 x 3.5 = 28

6 x 3.5 = 21

Terminating vs. Repeating
Some rational number, such as 1/2, 3/8, and 2/5 have a finite
decimal (terminating decimal); while others, such as 1/3, have
infinite decimal representation (repeating decimal).
For which positive whole numbers, n, is the decimal
representation of 1/n finite? For which is it infinite? Describe
the pattern, if there is one.

Answers

thats uhm hard how u do that

Answer:

If the positive whole number is a multiple of 3, one divided by that number will always be a non-terminating decimal.

What is 6cm into inches

Answers

Answer:

2.3622

Step-by-step explanation:

please i need some help due in some mins

Answers

the answer is a 0.1 hope this helped

A light bulb consumes 3450 watt-hours-in 5 days and 18 hours. How many watt-hours does it consume per day

Answers

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours

600watt hours <–––––––

Answer:

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours  

600watt hours

Use the Pythagorean Theory and the following information to determine the length of the third side of a right triangle which has a hypotenuse of 30 and leg “a” equal 18

Answers

the third side is 24

18^2 =324

30^2 = 900

missing side is b

324 + b = 900

900 - 324 = 576

Square root 576 the answer is 24

Follow the steps to find the value of x
1.Addition property of equality.
1/5(x)-2/3=4/3
1/5(x)-2/3+2/3=4/3+2/3
2.Multiplicative property if equality.
1/5(x)5/1=6/3(5/1)
The solution is x=

Answers

Then you get 1/5x = 2
X= 10

Answer:

its 10

Step-by-step explanation:

I got it right

Six times the sum of a number and eight is 18 find the number

Answers

Answer:

-5

Step-by-step explanation:

Find the number with the equation 6(x + 8) = 18

solve for x to get -5

Step-by-step explanation:

6*(x+8)=18

x+8=18/6=3

x=3-8=-5

prove

(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)+(-5+8)=

3+3+3+3+3+3=18

- Austin is paid a salary of $350 weekly. What are his yearly earnings?

Answers

Answer:

average, he earns 16,800 dollars in 1 year

Step-by-step explanation:

he is paid 350 dollars a week

there are 4 weeks in a month and 12 months in 1 year.

350*4=1400

1,400*12 is 16,800.

350 times 53 weeks a year gives you 18,200

is 33 a prime or a composite number​

Answers

Answer: 33 is a composite number


Explanation: The number 33 is not a prime number because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number

Answer:

A composite number

Step-by-step explanation:

because it is possible to express it as a product of prime factors. In other words, 33 can be divided by 1, by itself and at least by 3 and 11. So, 33 is a 'composite number'.

Review the graph.

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z 1 is (4, negative 3) and point z 2 is (negative 3, 2).

Suppose z3 = z1 – z2.Which quadrant contains z3?

quadrant I
quadrant II
quadrant III
quadrant IV

Answers

The position of z3 is (d) quadrant IV

The given parameters are:

[tex]\mathbf{z_1 = (4,-3)}[/tex]

[tex]\mathbf{z_2 = (-3,2)}[/tex]

The expression for z3 is given as:

[tex]\mathbf{z_3 = z_1 -z_2}[/tex]

So, we have:

[tex]\mathbf{z_3 = (4,-3) - (-3,2)}[/tex]

This gives

[tex]\mathbf{z_3 = (4 + 3,-3 - 2)}[/tex]

[tex]\mathbf{z_3 = (7,-5)}[/tex]

When the x-coordinate is positive, and the y-coordinate is negative, the point is in the fourth quadrant.

Hence, the position of z3 is (d) quadrant IV

Read more about quadrants at:

https://brainly.com/question/20226319

Graph the system of linear inequalities on the coordinate plane.
y [tex]\geq[/tex] 1/2x + 2 1/2
y< 1/5 x + 6
a. Shade the solution to the system of inequalities.
b. Pick a point and show your solution is correct.

Answers

what’s the second inequality symbol?

Answer: Images of Graphs are listed below. I am unsure on how to conduct the second part. but there is the first part

Step-by-step explanation:

Is f^-1(x) = x/9 - 5/9 a function?

Answers

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:

⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:

⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)

⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________

Will mark brainliest, need FAST!!! also, make sure to explain why. and note that it’s 30 mph FASTER on the return trip, not 30 mph back. But I will mark brainliest, please answer!!!!!

Answers

Answer:b

Step-by-step explanation: first find the constant of proportionality (y=Kx) and substitute k for 10 because 30/3=10 and then your equation should look like y=10x now see the hours because the person travels 10 mph

The approximate z-score that corresponds to a right tail area of 0.45 is?​

Answers

Answer: 0.1257

Step-by-step explanation:

Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.

We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]

From the z-score table, z-value corresponds for area of 0.45 is 0.1257.

That means  [tex]z_0=0.1257[/tex]

Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .

The cities A, B, and C, in respective order, lie approximately in a straight line. The distance from City A to City B is 100 miles. The distance from City A to City C is 110 miles. Find the distance from CIty B to City C. Distance= __________miles

Answers

Answer:

144.66

Step-by-step explanation:

So here we use the Pythagorean theorem assuming that city b to c is the longest distance so we do 100^2+110^2=22100 then the square root 22100 which is approximately 148.66

Time and then should be ur answer

I need help with this

Answers

Answer: 7 - 10⁻²

Steps: 1.4 · 10² / 2 · 10³ =  7 - 10⁻²

Plz mark brainliest:)

She’s right with the answer

A scientist is measuring the temperature change in a chemical compound. The temperature dropped 11 degrees Fahrenheit per hour from the original temperature. After 4 hours, the temperature was 90 Degree Fahrenheit. Find the compound’s original temperature.

Answers

Answer:

4 * 11 = 44 --> 44+ 90 = 134

Step-by-step explanation:

Evaluate each expression if a=5, b= -8, and c= -9.
g. b-10
h. a-b
I. c-a​

Answers

Answer:

g. -18, h. 13, I. -14

Step-by-step explanation:

g. b-10=-8-10=-18

h. a-b=5-(-8)=5+8=13

I. c-a=-9-5=-14

At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C , to the number of gallons of gas purchased, g.

Answers

Answer:

C = 2.75g

Step-by-step explanation:

The total cost of the gas purchased is the product of the price per gallon and the number of gallons.

Hope this helps. :)

Suppose you scored an 80 on a measure where the mean is 65 and the standard deviation is 5. How many standard deviations from the mean is your score

Answers

Answer:

The score is 3 standard deviations from the mean

Step-by-step explanation:

To find this, we simply calculate the z-score

Mathematically;

z-score = (x-mean)/SD

In this question , x = 80

mean = 65

SD = 5

Thus;

z-score = (80-65)/5 = 15/5 = 3

If the independent variable becomes very large what would be the expected change in the dependent variable

Answers

Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation:

what is 10x9= what is the answer to my questions slows

Answers

Answer:

90.

Step-by-step explanation:

10, 9 times, means you're adding 10+10+10+10+10+10+10+10+10=90.

90 is the answer it’s the answer

what is the slope of the line shown below?

Answers

Answer:

A

Step-by-step explanation:

the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3

Answer:

-2/3

Step-by-step explanation:

First you need to find two exact points the use your formula. I used (0,1) and (-3,3).

y2-y1 / x2-x1

Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.

I hope I helped you. You can comment if you need anymore help.

Write 4.399 as a ratio of two integers. Enter your answer as a reduced improper fraction.

Answers

Answer:

Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000Rewrite the decimal number as a fraction with 1 in the denominator

4.399=4.3991

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 10004.3991×10001000=43991000

Simplify the improper fraction,

=43991000

In conclusion,

4.399=43991000

We have that [tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]

[tex]\frac{4399}{1000}[/tex]

From the Question we are told that

Write 4.399 as a ratio of two integers

Generally to reduce 4.399 to an improper fraction we have that

[tex]\frac{4399}{1000}=4.399[/tex]

Improper action representation of the given integer

We proceed to reducing the fraction .We see that the are no means to reduce the fraction

Therefore

[tex]\frac{4399}{1000}[/tex] is the reduced improper fraction of [tex]4.399[/tex]

For more information on this visit

https://brainly.com/question/15276410

Question 3
20 pts
The Indians won 14 out their last 20 games. What percent of their games
did they win?

Answers

Answer:

They won 70% of their games.

Step-by-step explanation:

Convert your fraction to a percentage.

Divide 14 by 20, which gets you 0.70.

Then multiply it by 100, which gives you 70.

Now you have a fraction of 70/100.

That's how you get 70%

First write the two numbers as a ratio, 14:20. We know that percent means out of 100, and we also know that 20 is a factor of 100, so let’s divide those numbers. We get 5 * 20 is equal to 100, then we multiply the other side of the ratio(14) by five. At last we get 70:100, which is nothing but 70%. To check multiply 70/100 by 20, and if you get 14 as the product, then we are correct.

A carver begins work on the following block of granite that weighs 2700 g. What is the density of the granite? View attachment below... Thank you all so much!!!

Answers

Answer:

density = mass/ volume

density= 2700/500

= 25/5 cm 3

     (cubic centimeters)

Density of given granite block is [tex]2.7 g/cm^{3}[/tex].

Here,

Weight of granite block is 2700 g.

Dimension of the block is 20 cm, 5 cm, 10 cm.

We have to find the value of density of granite.

What is density?

Density is the substance mass per unit of volume.

Now,

Mass of the block is 2700 g.

Volume of the block = l x b x h

                               = 20 x 5 x10

                               =1000

Volume of the block = [tex]1000 cm^{3}[/tex]

Density = mass / volume

⇒ Density = [tex]\frac{2700}{1000}[/tex]

                = [tex]2.7[/tex]

Hence, Density of given granite block is [tex]2.7 g/cm^{3}[/tex].

Learn more about the Density visit:

https://brainly.in/question/2786638

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