The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart

Answers

Answer 1

Answer:

Prof B and Prof D

Step-by-step explanation:

Step-by-step explanation:

From the question  we are told that

Sample size 100  

Instructor    Number of Failures  

Prof. A         13

Prof. B         0

Prof. C         11

Prof. D         16

Confidence level= 0.95

From Z table

Z=1.96

Generally proportion for failure is mathematically given as

  [tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]

  [tex]P=\frac{N}{S}[/tex]

For Prof A

    [tex]P_A=\frac{N_A}{S}[/tex]

    [tex]P_A=\frac{13}{100}[/tex]

    [tex]P_A=0.13[/tex]

For Prof B

    [tex]P_B=\frac{N_B}{S}[/tex]

   [tex]P_B=\frac{0}{100}[/tex]

    [tex]P_B=0[/tex]

For Prof C

    [tex]P_C=\frac{N_C}{S}[/tex]

    [tex]P_C=\frac{11}{100}[/tex]

   [tex]P_C=0.11[/tex]

For Prof D

     [tex]P_D=\frac{N_D}{S}[/tex]

   [tex]P_D=\frac{16}{100}[/tex]

   [tex]P_D=0.16[/tex]

Generally the average proportional failure is mathematically given as

    [tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]

   [tex]P_a_v_g=0.10[/tex]

Therefore  having this we calculate for the control limits

Generally the upper control limit UCl is mathematically given as

Upper control limits:

  [tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

  [tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 +1.96*0.03[/tex]

  [tex]UCL =0.1 +0.0588[/tex]

  [tex]UCL =0.1588[/tex]

Generally the upper control limit UCl is mathematically given as

Lower limit control limits:

 [tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]

 [tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]

  [tex]UCL =0.1 -1.96*0.03[/tex]

  [tex]UCL =0.1 -0.0588[/tex]

  [tex]UCL =0.0412[/tex]

Therefore the Range is 0.0412 to 0.1588

Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options


Related Questions

what is the domain of h?

Answers

Answer:

The domain of given function is: [-7,7]

Step-by-step explanation:

Graphs can be used to determine the domain and range of a function.

On a graph, the values across the x-axis are domain and across y-axis are the range.

In the given graph, we can see that the graph starts from x=-7 and ends at x=7. The filled circle at both ends of the graph indicate that the values 7 and -7 are also included in the domain.

Hence,

The domain of given function is: [-7,7]

That problem bc I know how to tofu it but I want to make sure

Answers

Answer:

Step-by-step explanation:

[tex]5c^{2}[/tex] +2c -3

Answer:

Here,

[tex]5c {}^{2} + 7c - 5c - 3[/tex]

Now,

[tex]5c {}^{2} \ + 2c - c[/tex]

Hence, it is the simplified form.

simplify this algbraic expression completely 5y-3(y+2)

Answers

Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

You are helping create goodie bags for a class party. You have bags Reeses and
lollipops. Resses come in packages of 18 and lollipops in packages of 36. We don't want
any leftover! You want to create the greatest number of goodie bags with no candy
leftover! If the candy is divided evenly among the goodie bags, how many lollipops
would be in each bag?

Answers

Answer:

I'm not sure on what your asking could you explane

On a bulletin board the principal Miss Gomez put 115 photos of the fourth grade students in her school. She puts the photos in five equal rose how many photos did she put in each row?

Answers

Answer:

naruto

Step-by-step explanation:

What is an equation of the line that passes through the point (-6,-8)(−6,−8) and is parallel to the line x-2y=6x−2y=6?

Answers

Answer:

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope  

1

2

and a given point  

(

0

,

0

)

to substitute for  

x

1

and  

y

1

in the point-slope form  

y

y

1

=

m

(

x

x

1

)

, which is derived from the slope equation  

m

=

y

2

y

1

x

2

x

1

.

Step-by-step explanation:

an area of a rectangle city park is 1556 square miles the width of the park is 3/7 miles what is the length in miles of the park​

Answers

Answer:

457

Step-by-step explanation:

value of 1556

explanion

Lisa made 42 gallons of cider over two days. She made twice as many gallons of cider on day two as she made on day one. How many
gallons of cider did Lisa make on day two?

Answers

Answer: 28

Step-by-step explanation:

First you divide 42 by 3 and get 14

14 times 2 is 28 and 14+28= 42

so Lisa made 14 gallons of cider on day one and 28 gallons on day two

just answer the questions to the bottom

Answers

Answer:this is hardbejjjjjjjjjjjjjjjjjfbvj2248932483Step-by-step explanation:

sorry..i dont know i felt like this was funny..

Michael deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first 6 years?

Answers

Answer:

$3360 in the first 6 years.

Step-by-step Explanation:

To get the answer, you need to do 3000 x 2%. That would get you 60. Then, you multiply 60 x 6 (6 for the 6 years) which would be 360. Finally, you add 360 to 3000 and your answer would be $3360.

what is the opposite of 7​

Answers

Answer:

-7 is the opposite of 7

Step-by-step explanation:

pls mark brainliest to help rank

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Answers

Answer: itIs c for sure

Step-by-step explanation:

Answer:

A should be correct

Step-by-step explanation:

Because there is a right angle present in the diagram, that means it equals 90 degrees. Therefore, the first option is correct.

Hope this helped! :D

How many miles are in 1019 kilometers

Answers

Answer:

There are 633.177245 miles in 1019 km.

what is the y-intercept of the following equation ​

Answers

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The eguation Y-3=-2(X+5) is written in point-slope form. What is the y-intercept of the line?
-13
-7
2
8

Answers

Answer:

-7

Step-by-step explanation:

As it says, the equation is written in point-slope form (y-y1=m(x-x1). We'll convert the equation to slope intercept form (y=mx+b), as the b in that equation is the y intercept.

here's the equation:

y-3=-2(x+5)

do the distributive property on the right side

y-3=-2x-10

add 3 to both sides

y=-2x-7

since -7 is in the place of b, the y intercept is -7.

Hope this helps!

Answer:

B. -7

Step-by-step explanation:

Given function:

y - 3 = - 2(x + 5)

y-intercept is the point (0, y) where the line intersects y- axis

Finding y, at x = 0:

y - 3 = - 2(0 + 5)y - 3 = - 10y = - 7

Correct option is B

Which of the following represents the sum 4+8? Assume that red tiles represent negative numbers and blue tiles
represent positive numbers.
A.four blue tiles plus eight blue tless
B.four blue files plus eight red tiles
C.four red tiles plus eight red tiles
D.four red tiles plus eight blue tiles

Answers

Answer:

A.

Step-by-step explanation:

Both are positive values, so it's just four blue plus eight blue.

A rectangular stage is 6.25 feet long and 12 feet wide. What is the area of the stage in square feet?

Answers

Answer:

The area of the stage is 75 sq. ft. (ft²)

Step-by-step explanation:

Use " l * w = area"

6.25 * 12 = A

A = 75

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Answers

Answer:

Step-by-step explanation:

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Answers

Answer:

A) intersecting, 1 solution

B) Same Line, infinite number of solutions.

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Answers

Answer:

A

Step-by-step explanation:

(-3, 5) lie in the 2nd quadrant and it is given by point A

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Answers

I can’t see them good try taking the pictures better please

A vending machine that serves coffee pours a varying amount of liquid into a cup with varying mass. Assume
that the masses of the liquid and the cup are independent.
Here are summary statistics for the masses of the liquid and the cups:
Mean
Standard deviation
Liquid
HL
250 g
D = 20 g
Cup
HC = 150g
a = 10g
Let T = the total mass of a randomly selected cup filled with liquid from this machine.
Find the mean of T.
HT =
grams
Stuck? Watch a video or use a hint.
Report a problem

Answers

Answer:400

Step-by-step explanation:

The mean of T is the expected weight of a selected cup filled with liquid

The mean of T is 400

The data on the table is given as:

               Mean    Standard Deviation

Liquid      250g              20g

Cup         150g                10g

Represent Liquid with L, and cup with C

To calculate the mean of T, we make use of the following formula for expected value

E(L + C)

Since L and C are independent random variables, then

[tex]E(L + C) = E(L) + E(C)[/tex]

Where E(L) and E(C) are the mean values of liquids and cups.

The equation becomes

[tex]E(L + C) = 250g + 150g[/tex]

[tex]E(L + C) = 400g[/tex]

Hence, the mean of T is 400

Read more about mean at:

https://brainly.com/question/13005177

A jewelry box contains two gold hoop earrings and two silver hoop earrings. You randomly choose two earrings. What is the probability that both are silver hoop earrings? Write your answer as a fraction or percent rounded to the nearest tenth.

The probability that both are silver hoop earrings is:

Answers

Answer:

2 + 2 = 4 total earrings in the box.

If you put the earring back into the box before taking out the second, it would be 1/2 * 1/2 = 1/4, 25%.

Answer:

1/6 or 16.7%

Step-by-step explanation:

There are a total of 4 earrings in the box: 2 pairs of earrings + 2 pairs of earrings.

If you return the first earring to the box before removing the second, the answer is 1/2 * 1/2 = 1/4, or 25%.

If you remove the first earring from the package, the response is 1/2 * 1/3 = 1/6, or 16.7%.

Cedric has a credit card with a line of credit at $4,000. He made the following purchases: $425.36, $358.33, $377.11, and $90.20. What is Cedric's available credit?

Answers

Answer:

2,749

Step-by-step explanation:

adding all of the purchases = 1,251 so 4,000-1,251=2,749

There are 351 identical plastic chips numbered 1 through 351 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 212

Answers

212/351

or

211/351

cos less than

ILL BRAINLIEST
Dan bought x grams of sugar. Clare bought 2/5 more than that. Which equation below represents the relationship between the amount of sugar Dan bought, x, and the amount Clare bought, y? *

y = 2/5x

y = 4/5x

Y = x + 2/5x

y = x - 2/5x

Answers

Answer: d

Step-by-step explanation:


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Answers

Answer:4/5

Step-by-step explanation:

U know it's baby #####

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than 9

Answers

Answer:

The probability is 1/6

Step-by-step explanation:

Since we are rolling a pair of die, the number of expected results is 36

Sum that can be greater than 9 include;

4,6

6,4

5,5

6,5

5,6

6,6

This shows 6 out of a possible 36

So the probability will be 6/36 = 1/6

Aliyah spent $27 on nine fancy pens.
How much did each pen cost?

Answers

Answer:

3 dollars

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

27/9

Select the domain and range of the function f(x)=7x5 .

Answers

Domain is -infinite, infinite
Range is 35
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