A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2: Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective. Using the data, construct the 98% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places.

Answers

Answer 1

Answer:

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 1536 floppy disks is drawn. Of these disks, 1383 were not defective.

1536 - 1383 = 153

This means that [tex]n = 1536, \pi = \frac{153}{1536} = 0.1[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 - 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.082[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1 + 2.327\sqrt{\frac{0.1*0.9}{1536}} = 0.118[/tex]

The 98% confidence interval for the population proportion of disks which are defective is (0.082, 0.118).


Related Questions

Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.


Can you please do the problem using the formula A(t)=pe^(rt).

Answers

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

1780.43 i just took the test jit

PLZ IT'S VERY IMPORTANT
Find the perimeter​

Answers

Answer:

118 cm

Step-by-step explanation:

8 + 16 + 22 + 29 + (29-16) + (8+22) = 118 cm

help me with this please ​

Answers

Answer:

A

Step-by-step explanation:

Brainliest PLEASE

A small class has 10 students. Five of the students are male and 5 are female. I write the
name of each student on a 3 by 5 card. The cards are shuffled thoroughly and I choose one
at random, observe the name of the student, and replace it in the set. The cards are
thoroughly reshuffled and I again choose a card at random, observe the name, and replace it
in the set. This is done a total of four times. Let X be the number of cards observed in these
four trials with a name corresponding to a male student. The random variable X has which of
the following probability distributions?​

Answers

Options are;

A) the Normal distribution, with mean 2 and variance 1

B) the binomial distribution, with parameters n = 4 and p = 0.5

C) the poisson distribution, with parameters λ = 4/10

D) none of the above

Answer:

B) the binomial distribution, with parameters n = 4 and p = 0.5

Step-by-step explanation:

Number of times card is shuffled is 4 times. Thus; n = 4

X is the number of cards in the time shuffled that corresponds to a male.

We are told there are 10 students and 5 are male and 5 female.

Thus, probability that it corresponds to a male is;

P(corresponding to a male) = 5/10 = 0.5

According to binomial probability distribution, the parameters are;

p = 0.5

n = 4

q = 1 - 0.5 = 0.5

Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,-3) and (4,6)

Answers

Answer:

9.8

Step-by-step explanation:

x1 = 8 x2 = 4 y1 = -3 y2 = 6

[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]

[tex]\sqrt{(4 - 8)^{2}+(6 - -3)^{2}[/tex]

= 9.8488

= 9.8

help me pls mathhh mhm

Answers

Answer:

f = -15

Step-by-step explanation:

3(f/3) equals f

3(-5) equals -15

The final equation becomes: f = -15

Hi I just need the sum for this :) (Sum is the answer)
4(2x + 3) ÷ 5y = ?

Answers

Answer:

23

Step-by-step explanation:

64x = 8.
What is the value of x that makes the equation true?
Enter the correct answer in the boxes.
2

Answers

Answer:

x = 1/8

Step-by-step explanation:

The value of x is 1/8.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

64x = 8

Solve for x.

64x = 8

Divide both sides with 64.

x = 8/64

x = 1/8

Thus,

The value of x is 1/8.

Learn more about expressions here:

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Solve for x and round to the nearest tenth.
х
54
22

Answers

Answer:87 hope

this helps

Step-by-step explanation:

Please help I’ll mark you as brainliest if correct

Answers

Answer:

The answer you clicked is correct.

Step-by-step explanation:

1 teacher = 25 scholars.

On the top of a hill stands a tower that is 50 feet tall. From a point that is on the same
level as the base of the hill, the angle of elevation to the top of the tower is 56° and the
angle to the bottom of the tower is 51°. What is the distance from the given point to the
bottom of the tower?
a. 74 feet
b. 321 feet
c. 446 feet
d. 47 feet

Answers

The answer is b step by step by esplznationb

HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

I'd say D

Step-by-step explanation:

What percent of the model is shaded green?

Answers

Answer:

1/5%

Step-by-step explanation:

The percentage of the model shaded green will be 20.

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

The total number of the box in the figure is 100.

The total number of shaded green = 20

So,

[tex]\dfrac{20}{100} \times 100[/tex]

20%

Therefore, The percentage of the model shaded green will be 20.

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is 8 a solution to 1/2x+9=13?

Answers

Answer:

yes

Step-by-step explanation:

 solve for x by simplifying both sides of the equation, then isolating the variable.

x = 8

show proof and show work for brainliest

Answers

Answer:

-2(4-1)

Step-by-step explanation:

Do parentheses first because of PEMDAS. That means 4-1 equals 3. Then take -2 and times it by the 3 to get -6.

Answer:

The answer would be -2(4-1)

Step-by-step explanation:

-2 multiplied by 4 is -8

-2 multiplied by -1 is 2

you then add -8 and 2 which equals -6

solve this equation -3x - 8 = 18

Answers

8.67 (rounded to the nearest tenth)

22A + 14 help what is it

Answers

Answer:

B. 2(11A + 7)

Step-by-step explanation:

The common factor of 22 and 14 is 2

All I'm asking is help me and don't rip me off I'm being generous

Answers

Answer:

the eqaution would be

C=1.25h-0.5

The solution for 4 boxes would be

4.50 dollars

Step-by-step explanation:

Well c in this case is total

h is the amount of boxes

Since each box (h) cost $1.25 each, you multiply 1.25 by h.

Then that one time coupon off his total would be just -0.50

The points (0, 3), (4, 0), (9, 0), (0, 11), and (14, 0) are plotted on the graph. On a coordinate plane, points (0, 3), (4, 0), (9, 0), (0, 11), and (14, 0) are plotted. Which points are located on the y-axis? Check all that apply. (0, 3) (4, 0) (9, 0) (0, 11) (14, 0)

Answers

Answer:

0,3 and 0,11

Step-by-step explanation:

Answer:

(0,3) and (0,11)

Step-by-step explanation:

Did it recently in 2023

HELP ME OUT PLS‼️ Any smart as%ses

Answers

Answer:

9)   shifted down 2

10)  shifted right 4

11)   more wider

12)  more narrow

Step-by-step explanation:

what is the value of v in 2.5v = 125

Answers

Answer: v=50

Step-by-step explanation:

 2.5 v=125

v=125/2.5

v=50

Answer:

v=50

Step-by-step explanation:

[tex]\frac{2.5v}{2.5} =\frac{125}{2.5}[/tex]    divide both sides by 2.5 to isolate v

v=50

Solve for the value of a.
(8a)•\(5a-2)
Answer: a =
Submit Answer
о
attempt 1 out o

Answers

Answer:

a = 14

Step-by-step explanation:

The angles share a common side terminal side, so they are supplementary angles. This also means they add up to 180º.

8a + (5a - 2) = 180

Combine like terms.

13a - 2 = 180

13a = 182

Divide both sides by 13.

a = 14

This is your answer.

Check your work by plugging "a" back into the original equation.

8a + (5a - 2) = 180

8(14) + [5(14) - 2] = 180

112 + (70 - 2) = 180

112 + 68 = 180

180 = 180

Your answer is correct.

Hope this helps!

The answers
A. a line with an x-intercept of 3 and a slope of -3/2

B. A line with a Y-intercept of 2 and a slope of 2/3

C. A line with a Y-intercept of 3 and a slope of -2/3

D. Align with a Y-intercept of 2 and a slope of -2/3

Pls help !! :/

Answers

a mañanansnsnsjS2927410

(2+5i)+(1+2i)
Please

Answers

Answer:

3 + 7i

Step-by-step explanation:

(2+5i)+(1+2i) =

= 2 + 1 + 5i + 2i

= 3 + 7i

Find the value of x.

Answers

Answer:

Step-by-step explanation:

2.5

Lee la siguiente información.
En una olimpiada matemática, cada estudiante recibe un punto por cada pregunta acertada que tenga, en la siguiente tabla de frecuencias se muestra la clasificación de la cantidad de estudiantes de acuerdo con su puntaje obtenido.



De acuerdo con la tabla, ¿cuál es aproximadamente la desviación estándar?
A.
6,12
B.
7
C.
8,42
D.
9

Answers

La desviación estándar se puede calcular mediante la fórmula

S = √∑fx² / n - (∑fx / n) ²

La desviación estándar es 6,12

Poner los valores de la tabla en la hoja de Excel dada.

s = √381430 / 60 - (4770/60) ²

s = √6357.167 -6320.25

s = √36,917

s = 6,0759

Cuando se redondea daría 6,1

The standard deviation can be calculated using the formula

S= √∑fx²/n - (∑fx/n)²

The standard deviation is 6.12

Putting the values from the table in the given excel sheet.

s= √381430/60 - (4770/60)²

s= √6357.167 -6320.25

s= √36.917

s= 6.0759

When rounded would give 6.1

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Find the 70th term of the arithmetic sequence 29, 17, 5

Answers

Answer:

857

Step-by-step explanation:

70th term = a + d(n-1)

d= 29-17=12

a=29

n-1 = 69

70th term = 29 + 12×69

= 29 + 828

= 857

Malik deposited 45% of his paycheck into his
savings account. He deposited $288 into his
savings account. How much was Malik's
paycheck?

Answers

Hi I’m a human what about y’all people you should add me as brainlist

Write an equation to represent the following description. Seventeen more than eight times a number is −6.

Answers

8x + 17 = -6


(you can use a different variable to replace x if you need to :D)

What is the approximate surface area of the Hayden Sphere in terms of T?
4731 ft?
37857 ft?
75697 ft2
18927 ft?

Answers

Answer:

[tex]A=7569\pi \ ft^2[/tex]

Step-by-step explanation:

The diameter of a sphere is 87 feet.

We need to find its surface area. The formula for surface area is given by :

[tex]A=4\pi r^2[/tex]

Where

r is the radius of the sphere

[tex]A=4\pi \times (\dfrac{87}{2})^2\\\\=7569\pi \ ft^2[/tex]

So, the surface area of the sphere is equal to [tex]7569\pi \ ft^2[/tex].

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