The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample of 86 units made with gold wire, 68 met the specification, and in a sample of 120 units made with aluminum wire, 105 met the specification. Let pX represent the population proportion units made with gold wire that meet the specification and let pY represent the population proportion units made with aluminum wire that meet the specification. Find a 95% confidence interval for the difference

Answers

Answer 1

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

[tex]pX = \frac{68}{86} = 0.7907[/tex]

[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

[tex]pY = \frac{105}{120} = 0.875[/tex]

[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]

Difference:

[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]

[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]

Confidence interval:

[tex]p \pm zs[/tex]

In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Lower bound of the interval:

[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]

Upper bound of the interval:

[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Related Questions

Zac collected 4 pounds of aluminum cans. Eduardo collected 7/8 as many pounds as Zac. How many pounds of aluminum cans did Eduardo collect? *

Answers

Answer:

Eduardo collected 0.875 pounds can

Step-by-step explanation:

have a nice day dear

omg help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

the image isn't clear

can you type the numbers???

Step-by-step explanation:

Find the surface area of the prism? HELP I need the steps if possible

Answers

To find the surface area of a figure, find the area of all the shapes that make up the figure to get the area multiply Base by the height. First let's find the area of the rectangle and the front that makes the ramp. To do this multiply 20 by 17 to get 340. Then let's get the area of the rectangle on the bottom by multiplying 15 by 20 to get 300. Now lets find the area of the rectangle in the back we will do this by multiplying 8 by 20 get 160. To get the area of a triangle multiply the base by the height and then divided by 2. so for one of the triangles let's multiply A perfect in which gives us 120 and divide that by 2 to get 60. because the other triangle has the same dimensions, the area of the other triangle will also be 60. now let's out of all the areas that we have from the shapes which will be 340 + 300 + 160 + 60 + 60 which will give us 920 so the area of the figure is 920ft^2

(can i get brainelist pls)

How do you write 5.09 104 in standard form?

Answers

509,000
Hope that helped :)

AY YOOO HELP MEH. PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSssssssssssssssssSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

Number 1 is 10

number 2 is D (6 to the second power)

Step-by-step explanation:

the first answer is 10

the second answer is evaluate 6 squared

2 = x - 3

whats the answer?

Answers

Answer:

x=1

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Answer:

Step-by-step explanation:

We need to find the value of x

add 3 to both sides

5= x

so 5

3 divided by square root of 200=

Answers

Answer: 4.7140452079

Step-by-step explanation: (√200) ÷ (3)

Answer:

3√2/20

decimal form- 0.21213203435

Find the area of the parallelogram shown below.
6
10
11
square units?

Answers

Area of parallelogram = base x height
Area = 6 x 10
= 60 unit ^2

Answer:

66 Sq. un

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

You want to purchase a new car in 3 years and expect the car to cost $30,000. Your bank offers a savings plan with a guaranteed APR of 5.5% if you make regular monthly deposits. How much should you deposit each month to end up with $30,000 in 3 years?

Answers

Answer:

i think its appr. $1,818

Step-by-step explanation:

im not really sure tho

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

A, 32 degrees, hope this helps !! :D

Step-by-step explanation:

Find the midpoint between the following two points

(5, 10), (25, 8)

Answers

Answer:

(15,9)

Step-by-step explanation:

let [tex]x_{1}=5, x_{2}=25, y_{1}=10, y_{2}=8\\[/tex]

where the formula of the midpoint is ([tex]\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2}[/tex])

so, ((5+25)/2, (10+8)/2)

Thus, (15,9)

PLZZZ Help I need to hurry I got all the other questions right except this one. I dont understand it.

One of the terms in the summation is _______.

Answers

I think its B because i did this in class before and it looks familiar. (branliest will be appreciated as well) Thanks

One of the terms in the summation is(1,3)

PLEASE HURRYLO
giving brainliest
Rachel ran 5 miles every day last week. Her running time was as follows: 39min, 42 min, 41 min, 38 min, 39 min, 39min, 42min. What was her mean running time for 7 miles?

Answers

Answer:

mean = 39+ 42+41+38+39+39+42/7= 244

Find the volume of the sphere! Plsssss

Answers

Answer:

The first is the right answer

Step-by-step explanation:

V = ( 4/3)*π*(R^3) = (4/3)*3.14*(8^3) =2143.6

I got stumped on another one!

Answers

The answe is the first one

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

fractions equivalent to 8/4?

Answers

Answer:

2/1 4/2 6/3 10/5 12/6 14/7 16/9 18/9

Step-by-step explanation:

23/24
What does a quartile mean?
All of the data
One fourth of the
data.
One half of the
data

Answers

Answer:
One fourth of the date
Explain: quartile=quarter

If 8 containers of yogurt cost $6.80, how many containers of yogurt can you purchase
with $11.05?
You can purchase
containers ? yogurt with $11.05.

Answers

Answer:

The answer is 13 containers of yogurt.

Step-by-step explanation:

$0.85 = 1 container of yogurt so if you multiply 0.85 * 13 you will have your answer. I know this isn't too good of an explanation but trust me.

Find the area, in square inches, of the following composite figure.

10 in
15 in
5 in
15 in
30 in

Answers

I think the answer it’s 15 in not 100% sure tho

I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa PART 2

Answers

Answer:

1) Yes

2) Yes

3) Yes

4) No

5) Yes

6) Yes

7) Yes

8) Yes

9) Yes

10) No

Step-by-step explanation:

The triangle inequality theorem states that the length of any 2 sides of a triangle must be greater than the third side of that same triangle.

1) By Inspection, 2 + 10 > 11.

Thus, this set can be lengths of the sides of a triangle

2) 7 + 9 > 10