Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, wity 17 white chocolate and 43 dark chocolates. Let p be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in thjs case? Justify your answer. Part B: Is the Normal condition met in this case? Justify your answer.​

Answers

Answer 1

Answer:

Part A

The 10% rule is not met

Part B

The normal condition is not met

Step-by-step explanation:

The given data of the pieces of chocolate are;

The number of chocolates in the sample, n = 18

The number of white chocolate in the batch = 17

The number of dark chocolates in the batch = 43

Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;

The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]

Part A

The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials

The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28[tex]\overline 3[/tex] = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.


Related Questions

Jill and John each had a candy bar. Jill at ¾ of the candy bar and John at 3/8 of his candy bar. Who ate the most?

Answers

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

True or False?

When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points)

Answers

Answer:True

Step-by-step explanation: I did a quiz on it

Answer:

it is true am I right of this question

Question 1 of 10
Solve the proportion below.
-X/45=7/9

x=
O A. 5
B. 39
C. 35
O D. 43

Answers

Answer:

B. 35


Explaining:

-X/45 = 7/9

7/9= 0.777777777777778

-X/45 = 0.777777777777778

45 x 0.777777777777778 = 35

-X = 35

A transformation is a of a figure to the or​

Answers

Answer: change, position, shape

Step-by-step explanation:

2 ​2 ​​ ⋅(45÷9) - 3 thx

Answers

Answer:

(45÷9) - 3

5-3

=2 is a required answer

hope it is helpful to you

Q19. Look at the image.

Answers

Answer:

It's C

Step-by-step explanation:

Because if you look at the other numbers they all add up to the next number by 4. 4+4=8  8+4=12  12+4=16  16+4=20  20+4=24

Therefore, x intercept is 24 and y intercept is 18. Hope this is correct if it's not  correct then I'm very sorry. Have a nice day. ;)

Can someone please help me with math.

Answers

The answer is going to be A. as the age increases the amount of tc watched increases as well

Answer:

A

Step-by-step explanation:

from age 5 to age 15 the number of hourse watched goes up and so on

Can someone help me plzz!! no links tho​

Answers

Answer:

A

Step-by-step explanation:

HELP DUE IN 15 MINS!

x=??

Answers

Answer:

7

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Use the Intersecting chord theorem;

Rule: (CE) * (EB) = (AE) * (ED)

CE = x

EB = 15

AE = 9

ED = 10

=> (x) (15) = (9) (10)

15x = 90

Now Divide each side with 15

=> x = 6

Hope this helps!

Which of the x-values are solutions to the following inequality?
x <100
Choose all answers that apply:

Answers

Answer:

x=54

x=89

Step-by-step explanation:

I think it is the answer

Find the amount of time. I=$70, P=$350, r=4%

Answers

Answer:

5years

Step-by-step explanation:

I=70

P=350

R=4

I=PRT/100

➜PRT=100 I

➜T=100 I/PR

➜100×70/350×4

➜7000/1400

➜5years

when asher looks at the data he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed rigjt. Do you agree ir disagree

Answers

Answer:

can you please give more info

Step-by-step explanation:

Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

What is a histogram?

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.

As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.

Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

Learn more about the histogram here:

brainly.com/question/16819077

#SPJ2

When Mayerlin goes bowling, her scores are normally distributed with a mean of 175 and a standard deviation of 13. Using the empirical rule, what percentage of the games that Mayerlin bowls does she score between 162 and 188?

Answers

Answer:

68%

Step-by-step explanation:

The Empirical rule formula is given as:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Where

μ is the population mean

σ is the population standard deviation.

Step 1

Find the number of standard deviations from the mean

μ - xσ and μ + xσ

μ = 175

σ = 13

For 162

175 - 13x = 162

175 - 162 = 13x

13 = 13x

x = 13/13

x = 1

For 188

175 + 13x = 188

13x = 188 - 175

13x = 13

x = 13/13

x = 1

Hence, the data falls with 1 standard deviation of the mean

Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%

Answer:

The answer is 68%

Step-by-step explanation:

I’m not 100% sure on this

Answers

Answer:

it's D I think

Step-by-step explanation:

..........

Answer:

D

Step-by-step explanation:

A line segment is a straight line that ends , the arrows mean the the ray or line dont end

ILL GIVE BRAINLIEST 5x +2y = 24 solve for x

Answers

Answer:

x = 24/5 - 2y/5

Step-by-step explanation:

solve this inequality:
-1/3n - 8 < -25​

Answers

If you’re going to factor it, it’s 1/3 x (-n-99)
If you’re going to simplify it, it’s -1/3n-33

Express 0.74 as a percentage ​

Answers

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%

What is the volume of this figure?

Answers

Answer:

1920

Step-by-step explanation:

I'm just doing it my way because it feels easier, but multiply 14 x 20 x 8 to get the volume of the entire figure.

Then we subtract that box of air which is 10 x 4 x 8.

So 14 x 20 = 280

280 x 8 = 2240

Then we find the volume of the missing part which is

10 x 4 = 40

40 x 8 = 320.

We get 2240 - 320 = 1920

Remember kids, wear your masks!

1920! You multiply the cubes individually and the add it together

Events A and B are independent. Find the missing probability.
A.9/20

B.3/4

C.1/2

D.3/40

Answers

Answer:

B

Step-by-step explanation:

It’s B double check tho!

Differentiate 2x-4x^4

Answers

Answer:

2-16x^3

Step-by-step explanation:

Plz help me this is my last one and I’ll mark as brainliesttt!!

Answers

Answer:

That the object is moving

as time goes by the distant goes lower

Step-by-step explanation:

I think

Answer:

the object is moving forward with decreasing speed.

Step-by-step explanation:

Which linear function has a y-intercept of -5?
2x+y=-10
x-y=-5
x-3y=15
-x+4y=20​

Answers

Answer:

It could be =15 or =0

Step-by-step explanation:Multiplying each side of −3x+4y=20

by 2 gives −6x+8y=40

. Adding each side of −6x + 8y = 40 to the corresponding side of 6x+3y=15

gives 11y=55,ory=5

. Finally, substituting 5 for y in 6x+3y=15

gives 6x+3(5)=15,orx=0

.

Answer:

x-3y=15 has a y-intercept of -5

Step-by-step explanation:

A y-intercept occurs when x = 0. So, when x = 0, which function has a y-value of -5?

Plug in 0 for all the values of x and solve for y.

1. 2(0)+y=-10; y=-10

2. (0)-y=-5; y = 5

3. (0)-3y=15; y = -5

4. -(0)+4y=20; y= 5

!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT

Answers

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

!!I WILL GIVE BRAINLIEST!!
A circle is represented by the equation below
(x+2)^2 + (y - 4)^2= 225
Which statement is true?

The circle is centered at (-2,4) and has a radius of 15.

The circle is centered at (2,-4) and has a diameter of 15.

The circle is centered at (2,-4) and has a radius of 15.

The circle is centered at (-2,4) and has a diameter of 15.

Answers

The circle is centered at (−2, 4) and has a radius of 15.

i took the test

A circle represented by the equation (x+2)² + (y - 4)²= 225 is centred at  (-2,4) and has a radius of 15.

The equation of a circle is represented as follows:

Equation of a circle;(x-h)² + (y-k)² = r²

where

(h, k) = centre

r = radius

Therefore, (x+2)² + (y - 4)²= 225 has the following centre and radius.

(x+2)² + (y - 4)²= 15²

Then

(h, k) = (-2,  4)

Therefore, the circle is centred at (-2,4) and has a radius of 15

learn more on circle here: https://brainly.com/question/2416003?referrer=searchResults

plz help me plz plz plz plz plz​

Answers

Answer:

38

Step-by-step explanation:

The area of a kite is equal to half the product of the diagonals

To find the area we must first find the measures of the diagonals

short diagonal = 2 + 2 = 4

longer diagonal = 8 + 11 = 19

We then calculate the area by multiplying the two diagonals together and then dividing that by 2

A = 19 * 4 = 76

76 / 2 = 38

Hence, the area of the kite is 38m²

38m².

Answer:

Solution given;

diagonal 1=8+11=19m

diagonal 2=2+2=4m

the area of a kite =½*diagonal 1*diagonal 2

=½*4*19=38m²

The area of kite is 38.

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10
meters. The area of the base of the pyramid is 27.7 square meters.
What is the surface area of the pyramid?
The surface area of the pyramid is
square meters.

Answers

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Hence, the surface area of the pyramid is calculated as:

Area of the 3 lateral faces of the pyramid + Base area

= 120m² + 27.7 m²

= 147.7 m²

The surface area of the pyramid is 147.7 square meters.

If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps

Answers

Answer:

x = 13/12

Step-by-step explanation:

explain on image

Hxhxhhdhfhdhdhdgdgdgddggzgzsgsggddxnxhdbfbffbhfhrhffhfhhfhfhffjjfjfnf

A spaceship weighs 410,000 kg. what is this number, without units, in scientific notation?


PLZ HELPP ASAP!!!

Answers

Answer:

4.1 x 10^5

Step-by-step explanation:

10^5 = 100,000 x 4.1 = 410,000

Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.

Answers

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

Answer:

The foam rolls across the lonely ocean. : Consonance  
I can't forget the letter that you sent last night: Consonance

In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance

Step-by-step explanation:

Hope this helps :D


[tex] \sqrt{25} + \sqrt{16} = [/tex]
Tell me what the answer is

Answers

Answer:

The answer is 9

Step-by-step explanation:

√25 = 5

√16 = 4

Now,

√25 + √16

5 + 4 = 9

Thus, The answer is 9

-TheUnknownScientist

Answer:

9

Step-by-step explanation:

First step is to simplify the radicals

√25=5

√16=4

5+4=9

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