A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 100 items, 55 are defective. The lower bound of a 99% confidence interval for the proportion of defectives is ________.

Answers

Answer 1

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion [tex]\hat p[/tex]

[tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{55}{100}[/tex]

[tex]\hat p[/tex] = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

[tex]Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576[/tex]

Then the margin of error [tex]E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}[/tex]

[tex]E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}[/tex]

[tex]E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}[/tex]

[tex]E = 2.576 \times0.04975[/tex]

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: [tex]\hat p - E[/tex]

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422


Related Questions

-3/4x+9 xccccccccccccccccccccccccccccccccccccccccc

Answers

ummmmm uhhhhh lollllllllll

help me with this its super hard

Answers

Answer:

240

Step-by-step explanation:

Because you have to do length times with times height

12 times 10 times 2= 240

Determine whether the given figure tessellates the plane.
a yes
b. no

Answers

Answer:yes or a Explainaton:

Yes. Given figure tessellates the plane.

What is tessellation?

"It is a pattern created with identical shapes which fit together with no gaps."

For given situation,

The figure is a hexagon.

A shape is said to tessellate the plane if the plane can be covered without holes and no overlapping (save for the boundary points) with congruent copies of the shape.

So the figure is tessellates the plane with triangles.

Learn more about tessellation here:

https://brainly.com/question/2033730

#SPJ2

How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please

Answers

The answer is 5 the answer is 5
Answer:   13.3 seconds

========================================================

Explanation:

Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.

Similarly, AD = DC = 60 ft.

The total length traveled is:

AB+BC+CD = 70+70+60 = 200 ft

We never use BD = 50 at all.

Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.

You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.

A club has 11 members.
a) How many different 3-member committees could the club form?
b) In how many ways can a club president, treasurer, and secretary be chosen?
c) By what factor do the answers in parts b) and c) differ? How do you account for this difference?

Answers

Answer:

good

Step-by-step explanation:

calculate it on alculator

3x + 2(4 + 6x) = 113

Explain what you did in each step of your solution.

Answers

PEMDAS (parenthesis, exponents, multiplication, division, addition, subraction)

Answer:

x = 7

Step-by-step explanation:

So first, multiply everything inside the (   ) by 2

So then, the equation will look like this: 3x + 8 + 12x = 113

Then, combine like terms, which leave the equation to look like this:

15x + 8 = 113

Then subtract 8 from both sides, leaving the equation like this : 15x = 105

Last step, divide both sides by 15, which leave you with x = 7

Help me with this please

Answers

Answer:

It would be -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

You need to separate the 8 from each side of the equation. Picture it like this:

-104= 8 (multiplied by) x

To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.

-104/8=8x/8

-13=x

For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5

Please explain in detail I am very confused about the whole thing thx for ur help in advance :)

Answers

Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

6.203x4.5
Help pls asap

Answers

Answer:

27.9135

Step-by-step explanation:

I need to find the x pls help and show work I need to find the x pls help and show work 377373 so yeah A 73828 I need to find the x pls help and show work

Is there another way to extend the plane of complex numbers other than by the Riemann sphere?
No answer needed! Just take the points.

Answers

Step-by-step explanation:

Put the question again I don't see it

No I never lied hahahah

Answers

Answer:

liar

Step-by-step explanation:

Can I get a brainliest answer pls

Slope, m = 3, y-intercept, b = 5

Answers

Answer:

I can't help if I don't have enough to answer sorry

Step-by-step explanation:

Mrs. Anders gave her class 15 minutes to read. Courtney read 8 ½ pages in that time. At what rate, in pages per hour, would Courtney read?

Answers

Answer:

34

Step-by-step explanation:

15 mins is 1/4 od an hour so mulitply 8 1/2 (8.5) x 4

Answer:

First we figure out how many words in total she has to read.

This would be the (number of pages) times (number of words per page).

820 * 350 = 287000

so she has to read 287000 words

we divide this by 110 to get how long it would take for her to finish (in minutes)

287000 / 110 = 2609.09090909....

then since there are 60 minutes in an hour, we divide that number by 60

2609.09090909... / 60 = 43.48484848...

Therefore it would take her about 43.5 hours to complete her assignment.

Step-by-step explanation:

Alexa bought 2 1/3 pounds of turkey for 26.25. What is the cost per pound?

Answers

Answer:

11.25

Step-by-step explanation:

Answer:

approximatly $11.25

Step-by-step explanation:

26.25/2.333333 = 11.2500000161

need help plz its math ​

Answers

Answer:

option D 41

Step-by-step explanation:

since ∠N = ∠L

this means that MN = ML    (sides opposite to equal angles are equal)

thus

3x + 1 = 5x - 7

1 + 7 = 5x - 3x

8 = 2x

8/2 = x = 4

inserting values

3*4 + 1= 13

4*4-1 =15

5*4-7 = 13

adding all

13 + 13+ 15 = 41

option D 41

An entire pumkin pie (16 Slices ) has 3,840 calories. If the pie is cut into 16 slices how many calories are in each slice?

Answers

Answer:

240

Step-by-step explanation:

Answer:

240 calories

Step-by-step explanation:

3,840 divided by 16 is 240 :)

1,232 divided by 8 =?
Show your work!

Answers

Answer:

154

Step-by-step explanation:

just divide 1232 and 8

(long division)

A survey asked 200 students to name their favorite fruit. The table shows the results of the survey. How many more students chose peaches compared to oranges as their favorite fruit? Explain your thinking.

Answers

Answer:

Without seeing the table I can't answer the question

Step-by-step explanation:

But if you take the number of Peaches and subtrqact the number of oranges will have your answer.

10 points pls help me this is urgent if i don’t do this i won’t pass

Answers

Answer:

Here's something to help you

Step-by-step explanation:

I'm using the second question as an example.

To find the Unit Rate, you have to divide the amount of money by the amount of whatever the product is

5.99/8= 0.74875

Since the question says to round it to the nearest hundredth, that means the price per unit (unit rate, or the price for one battery here) would be about $0.75. Simple, right?

It is approximately 32 miles from Dallas to Fort Worth.
Which number sentence could be used to find f, the number
of feet from Dallas to Ft. Worth.


(A) 1760 x 1/32 = f; because the scale factor is 5280
(B) 32 x 1760 = f; because the scale factor is 5280.
(C)5280 x 1/32 = f; because the scale factor is 5280.
(D)32 x 5280 = f; because the scale factor is 5280.

Answers

I believe the answer your looking for is b
My guy in some kind of 7000 level gawk gawk math or sum yo haha

If EG=71 , find the value of x

Answers

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

Cindy bought 3 burgers and 2 soft drinks for $10.50. At the same restaurant, Sean bought 4 burgers and 3 soft drinks for 14.50. How much does 1 burger cost

Answers

Answer:

To much to count

Step-by-step explanation:

Which polynomial is in standard form?
N
O 26x5 + 12x7-8x3 + 6x
O 3x5 +x-6x2 + 5
11x5-6x2-9x+12
5x2 + 18x3 - 12x4 +4x7

Answers

Answer:

i am pretty sure it is D

Step-by-step explanation:

Answer:

Its C.) 11x^5 - 6x^2 - 9x + 12

Step-by-step explanation:

ejenuwitee

=D

=P

What is the decimal value of 5/6

Answers

Answer:

0.83

Step-by-step explanation:

The 3 keeps going on and on and on :)

Hey there!

• In order to CONVERT a FRACTION to a DECIMAL, all you have to do is DIVIDE the NUMERATOR (TOP number) from the DENOMINATOR (BOTTOM number)

• “What is the decimal value of 5/6?”

5 / 6 = 5 ÷ 6 → 0.83

Answer: 0.83 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

V
P
A
4 Here is an explanation that the angle sum of triangle ABC is 180°.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
С
B
5 Show that the interior angles of this shape add up to 360°.​

Answers

Answer:

Step-by-step explanation:

360

Find the slope between (-1, 7) and (-3, 1).

Answers

Answer:

[tex]m=3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, 7)

Point (-3, 1)

Step 2: Solve for x

Substitute [SF]:                    [tex]m=\frac{1-7}{-3+1}[/tex]Subtract/Add:                      [tex]m=\frac{-6}{-2}[/tex]Divide:                                 [tex]m=3[/tex]

URGENT!! Please help

Answers

Answer:

The measure of the largest angle is 72º.

Step-by-step explanation:

We will first solve for x. We know that the sum of the interior angles of a triangle is 180º, so 15x + 21x + 24x is equal to 180º. This means that 60x = 180º, so x = 3º. The largest angle is 24x, which is 72º.

a bakery sold 208 chocolate cupcakes in a day,which was 25%of the total number of cupcakes sold that day. How many cupcakes did the bakery sell that day

Answers

Answer:

832

Step-by-step explanation:

multiply the 25% by 4

Answer:

Coryxkenshin

Step-by-step explanation:

How to you Simplify x+4-5x-2?

Answers

Answer:

Combine the like terms

-4x+2

Thats it

students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this problem any way you choose

Answers

Answer:

36

Step-by-step explanation:

becuase each row has 6 in them and there are 6 rows so 36 is the final answer

36 would be the answer if there’s 6 chairs in each rows and 6 rows you just simply multiply 6 and 6 :)
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