A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The average thickness and the standard deviation of thickness of shift 1, based on a random sample of 30 gaskets, are 10.53mm and 0.14mm. The similar figures for shift 2, based on a random sample of 25 gaskets, are 10.55mm and 0.17mm. Let µ1-µ2 be the mean difference in thickness between shifts 1 and 2.
a) Find a 95% confidence interval for µ1-µ2.
b) Based on your answer to part a, are you convinced that the gaskets from shift 2 are, on average, wider than those from shift 1? Why or why not?
c) How would your answers to parts a and b change if the sample sizes were instead 300 and 250?

Answers

Answer 1

Answer:

(−0.103371 ; 0.063371) ;

No ;

( -0.0463642, 0.0063642)

Step-by-step explanation:

Shift 1:

Sample size, n1 = 30

Mean, m1 = 10.53 mm ; Standard deviation, s1 = 0.14mm

Shift 2:

Sample size, n2 = 25

Mean, m2 = 10.55 ; Standard deviation, s2 = 0.17

Mean difference ; μ1 - μ2

Zcritical at 95% confidence interval = 1.96

Using the relation :

(m1 - m2) ± Zcritical * (s1²/n1 + s2²/n2)

(10.53-10.55) ± 1.96*sqrt(0.14^2/30 + 0.17^2/25)

Lower boundary :

-0.02 - 0.0833710 = −0.103371

Upper boundary :

-0.02 + 0.0833710 = 0.063371

(−0.103371 ; 0.063371)

B.)

We cannot conclude that gasket from shift 2 are on average wider Than gasket from shift 1, since the interval contains 0.

C.)

For sample size :

n1 = 300 ; n2 = 250

(10.53-10.55) ± 1.96*sqrt(0.14^2/300 + 0.17^2/250)

Lower boundary :

-0.02 - 0.0263642 = −0.0463642

Upper boundary :

-0.02 + 0.0263642 = 0.0063642

( -0.0463642, 0.0063642)


Related Questions

Help..........................

Answers

Answer:

D

Step-by-step explanation:

I'm not certain but I guess that's it

20 PTS
PLEASE HELP !!!

Answers

Answer:

88

Step-by-step explanation:

100-√81+3

or,100-√9square+3

or,100-9+3

or,100-12

•°• 88

Answer:

94

Step-by-step explanation:

100-the square root of 81+3

(the square root of something is a number multiplied by itself to get the number example √16=4 because 4x4=16)

100-9+3

91+3

94

PLEASE HELP DUE TOMORROW WILL GIVE BRAINLIEST

Answers

Answer:

y=-2x+18

Step-by-step explanation:

so, we use the format y=mx+b where m and b are numbers. b=18, and m=-2, since he SPENDS 2 dollars each day. y=-2x+18 would be your answer. remember, b is also the y intercept, so one of the points that would work would be (0, 18) and the x intercept would be when y is zero, aka  0=-2x+18 which we can solve to get (9,0)

What is the quotient? (32h12 – 48h18) ÷ –16h6

32h12 + 3h12


–2h18 + 3h24


32h12 + 3h24


–2h6 + 3h12

Answers

The quotient of this mathematical expression (32h12 – 48h18) ÷ –16h6 include the following: D. –2h6 + 3h12.

What is a quotient?

In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

By writing the given mathematical expression as a division of a number (numerator) by another number (denominator), we have the following:

Quotient = (32h12 – 48h18)/–16h6

Quotient = -2h6 - (-3h12)

Quotient = –2h6 + 3h12.

Read more on quotient here: brainly.com/question/748723

#SPJ1

Market researchers selected a random sample of people from region A and a random sample of people from region B. The researchers asked the people in the samples whether they had tried a new product. The difference between the sample proportions (B minus A) of people in the regions who indicated they had tried the new product was 0.15. Under the assumption that all conditions for inference were met, a hypothesis test was conducted with the alternative hypothesis being that the population proportion of B is greater than that of A. The p-value of the test was 0.34.Which of the following is the correct interpretation of the pp-value?If the difference in proportions of people who have tried the new product between the two populations is actually 0.15, the probability of observing that difference is 0.34.A. If the difference in proportions of people who have tried the new product between the two populations is actually 0.34, the probability of observing that difference is 0.15.B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.C. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at most 0.15 is 0.34.D. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference equal to 0.15 is 0.34.

Answers

Answer:

B. If the proportions of all people who have tried the new product is the same for both regions, the probability of observing a difference of at least 0.15 is 0.34.

Step-by-step explanation:

Null hypothesis:

H0: The population proportion B = population proportion A

Alternative hypothesis:

H1: The population proportion of B > population proportion A

The P value, also called calculated probability, is that of getting test results which are at least as extreme as the results which were observed in a Statistical test. We assume the null hypothesis to be true.

Therefore if the population proportion of B = A (H0 is true), then we conclude that the probability of observing a difference of at least 0.15 is = 0.34.

Simplify the expression
3 (x+4) -2x
X+4
x+12
3x+10
7-x
3x+12

Answers

Answer:

x+12

Step-by-step explanation:

3 (x+4) -2x

Distribute

3x+12 -2x

Combine like terms

x+12

Answer:Move

11

3

to the left side of the equation by subtracting it from both sides.

30

3x-12

+

1

x-4

-

11

3

=0

Step-by-step explanation:

What happened as a result of the fall of the Western Roman Empire?
*
A. The Eastern Roman empire absorbed the territory of the former Western Roman
Empire
B.A series of new Germanic kingdoms replaced the Western Roman Empire
C.Powerful new rulers settled peasant unrest and stopped outside invasions
D.The Eastern Roman Empire also rapidly declined and dell to the outside invaders.

Answers

Answer:

nn

Step-by-step explanation:

a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?

Answers

Answer:135000

Step-by-step explanation:

Answer:

The field has an area of 135,000 m².

Step-by-step explanation:

We first convert the measurements from kilometers to meters by multiplying by 1000.

- - - - - - - - - - - - - Length: 0.45 km = (0.45 × 1000) m = 450 m.

- - - - - - - - - - - - - Width: - - 0.3 km = (0.3 × 1000) m = 300 m.

So the field is a rectangle 450 meters long and 300 meters wide.

To compute the are of this rectangle, we multiply its length by its width.

- - - - - - - - - - - - - - Area = 450 × 300 = 135,000 m².

so the answer is 135,000 m².

place value of 7 in 872 164​

Answers

Answer:

70,000 = seventy thousand

Step-by-step explanation:

The place value of 7 in 8,72,164 is 70,000.

What is Place Value?

Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.

Given the number 8,72,164,

find the place value by table,

number  x  multiplier   =    value

8             x   1,00,000   =  8,00,000

7             x    10,000      =   70,000

2              x     1,000      =    2,000

1              x     1,00          =    1,00

6              x     10          =    60

4             x     1                 =    4

The place value of 7 is  70,000.

Hence the value of 7 is  70,000.

Learn more about place value;

https://brainly.com/question/27734142

#SPJ2

what is the quotient of x^2 + 7x +12 and x +4?

Answers

Answer:

The Answer/Quotient is x+3

At 1 P.M., the total snowfall is 5 centimeters. At 4 P.M., the total snowfall is 16 centimeters. What is the mean hourly snowfall? Write your answer in simplest form as a fraction or mixed number.

Answers

Answer:

Mr. Snowbully

Step-by-step explanation:

I think the mean hourly snowfall is named Mr. Snowbully

It's a funny name!

Well, the snow would grow at a rate of 4 cm every hour so...

4

I dance I sing I am perfect I am I am a believer that I am a discoverer. PLEASE ANSWER I'LL MARK AND BRAINLIEST

Answers

Answer:

not sure if its a song or not but you do you, gg <3

Answer:

YAZZ You are amazing :> remind yourself everyday!!!

The figure shows the dimensions of a backyard
Find the area
8 yd
eccles
30 yd
15 yd
30 yd
The area of the backyard is
square yards.

Answers

answer:

570yd^2

step by step:

Split the backyard into 2 different rectangles and add the areas together. I did 8x30 and 15x22.
Answer: 570yd^2


Explaining: The area can be found by using the base and the height. Fist I will split the figure into two piece to make it easier to find. The first piece is solved by 30•15=450. The second figure can be solved by 8•15=120. Now add the total numbers together and you get 570yd^2

Which table represents the function y = 3 x – 1?


Input x 0 1 2
Output y -1 2 5


Input x 0 1 2
Output y -1 -2 -3


Input x 2 3 4
Output y 2 4 6


Input x 1 2 3
Output y 4 7 10

Answers

Answer:

the first set of values is correct

Step-by-step explanation:

when x =0,

y = 3(0) -1

y=-1

when x =1,

y=3(1)-1

y=2

when x=2,

y=3(2)-1

y=5

Given that 5x - 8y = 33 find x when y = 1

Answers

Answer:

x = ⁴¹⁄₅ or 8.2

Explanation:

5x - 8y = 33

y = 1

Insert 1 for 'y' in the equation

5x - 8(1) = 33

Remove parenthesis: (a) = a

5x - 8 · 1 = 33

Multiply 8 · 1: 8

5x - 8 = 33

Add 8 to both sides

5x - 8 + 8 = 33 + 8

Simplify

5x = 41

Divide both sides by 5

5x / 5 = 41 / 5

x = ⁴¹⁄₅

Turn the fraction into a decimal

x = 8.2

Assume you are buying a $15,000 car, with a 12 month loan at 5% interest, a net down payment of $2,500, and
a $40 (non-taxable) fee with 6% in sales tax.
What will be your monthly payment?
A. Between $1000 and $1049
B. Between $1050 and $1099
C. Between $1100 and $1149
D. Between $1150 and $1200

Answers

The answer would be C

A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?

Answers

Answer:

(a) (log X - log 25000)/log 0.85 = t

(b) about 9.9 years

Step-by-step explanation:

(a)   Let X = value and t = elapsed years since purchase; X in dollars

X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year

(If you lose 15% of value, you have 85% left, right?)

So if you do it for t years, you have t as the exponent on the 0.85 factor.

[tex]X = 25000(0.85)^t[/tex]  is a good equation, but not logarithmic like they ask.

[tex]log X = log 25000 + log [(0.85)^t][/tex]    because the log of a product is the sum of the logs of the factors

log X = log 25000 + t*log 0.85  because the log of a power is power times log

log X - log 25000 = t* log 0.85    just algebra, subtracting from both sides

(log X - log 25000)/log 0.85 = t   just algebra, dividing both sides

(b)  If we let X = $5000

t = (log 5000 - log 25000)/log 0.85

 = (3.69897 - 4.39794)/-0.07058

 =  9.90

So t = 9.9 years is a good estimate

Carl will have approximately 5.06 years until his new car is worth about $5000.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let V(t) be the value of the car t years after it was purchased.

We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:

[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]

Simplifying this equation, we get:

[tex]V(t) = 25000 \times 0.85^t[/tex]

Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.

We can set V(t) equal to x and solve for t:

[tex]25000 \times 0.85^t = x[/tex]

log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)

Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:

[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)

Divide both sides of the equation by log0.85(0.85) = 1:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:

t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)

b) We want to find the number of years it will take for the car to be worth $5000.

Substituting x = 5000 into the formula derived in part (a), we get:

t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)

t = 5.06

Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

* Required
1
Joey makes $4,000 per month after taxes. What should he budget for rent each month? *
(2 Points)
$1,120
$1,000
$14,285.71
$900

Answers

1,200 30% of his monthly income so the 1,120 is the closest

Help fill in the Punnett square

Answers

Answer:

Here is the completed punnett square

Answer:

e e

E Ee Ee

e ee ee

You are an entrepreneur and selling handmade kites. Your company Kites-R-Fun has been contacted by a customer in Alaska who wants to purchase several of your best-selling kites and wants you to ship them to her. You have already established the cost at $4 each and it's only going to cost you $8 to ship these items to Alaska. Your competitor Windy Kites sells the same items, but charges half of your price. However, if the customer buys from your competitor, she will be charged $20 in shipping costs.
Write two equations to represent the customer's total cost based on how many kites she purchases from each company where y is the total cost and x is the number of kites purchased.
1. Total cost for Kites-R-Fun *
y = 4x + 8
y = 4x + 20
y = 8x + 4
y = 8x + 20
2. Total Cost for Windy Kites *
y = 2x + 10
y = 2x + 20
y = 8x + 20
y = 20x + 4

3. If the customer in Alaska wants to buy 4 kits, who should she buy from? *
Kites-R-Fun
Windy Kites
4. If the customer in Alaska wants to buy 10 kits, who should she buy from? *
Kites-R-Fun
Windy Kites

Answers

Answer:

do you have the answers i’m taking this rn i’m gonna literally cry lol

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm not sure if I am correct or incorrect but these are my answers, I'm pretty sure they're correct but I'm not sure as I didn't turn it in yet

1. Fill in the table to find customer costs from each seller.

2. Write an equation to represent the customer's total cost to purchase from Kite-R-Fun.

Y = 4x + 8

3. Write an equation to represent the customer's total cost to purchase from Windy Kites.

Y = 2x + 20

4. Based on your table, if the Alaskan customer wants to buy 4 kites, who charges the least?

Kites - R - Fun

5. If the Alaskan customer wants to buy 10 kites, who charges the least?

Windy Kites

6. (6, 32)

7. Looking at your graph, find the solution and explain what it means in this situation

This point represented where prices have intersected

Explain

Don’t use for points or I’ll take it back and report

Answers

Answer:

answer is 27 degrees

Step-by-step explanation:

first of all interior angles of a right sided add up-to 180 degrees and you were given 2 angles already

90 + 63 + x = 180

153 -153 +x = 180 -153

x = 27

hope that helps

what is the slope of the line passing through points (x,y) and (p,q)​

Answers

Step-by-step explanation:

Let (x1,y1) = ( x, y)

(x2 , y2) = (p, q)

Then

Slope (m)

= (y2 - y1) / (x2 - x1)

= ( q - y) / ( p - x)

Hope it will help :)

Whats the fraction as a whole number of 9/12??

Answers

3/4 is the proper fraction
#KEEPONLEARNING

9 ≤ c + 1.
The solution is?

Answers

Answer:

8 ≤ c or backwards c ≥ 8

Step-by-step explanation:

subtract one from 9?

Find the interest rate. You are borrowing $1,310 for 10 years and you are penalized $655 in interest.

Pls Help

Answers

Answer:

5%

Step-by-step explanation:

I (simple interest) = $655

P (principle) = $1,310

R (interest rate) = ?

T (time) = 10

I = PRT

655=(1,310)r(10)

655 = 13,000•r

13,100   13,100

r • 0.05

0.05 converted to percent is 5%

Alfredo bought a fishing pole for 60% off it’s original price of $97. If the tax was 4% ( of the sale price), how much did Alfredo pay for the fishing pole?

Answers

Answer:

40.4

Step-by-step explanation:

Well...you see, 60% of $97 is equal to 58.2. you can get this by multiplying 97 by 0.60.

so subtract 97 by 58.2 and you will get 38.8, now you will add the tax which is and extra add-on to the prices full value

and it's a 4% tax so you will add for percent to 38.8,

basically multiply 38.8 times 0.04 and you will get 1.6 which you will have to add the your amount to get 40.4.

Question 5 of 12
The orthocenter of a triangle may lie outside the triangle since the
may not intersect any side of the triangle.
A. angle bisector
B. perpindicular bisector
C. altitude
D. median
SUBMIT

Answers

The perpendicular bisector

jessica and sarah collect insects.Jessica has two hundred thirty four insects sarah has 2.5 times as many insects as Jessica

How many insects does sarah have?

Answers

Answer:

585

sorry if i get it wrong

Step-by-step explanation:

Sarah has 585 insects if Jessica and Sarah collect insects. Jessica has two hundred thirty-four insects Sarah has 2.5 times as many insects as Jessica

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Jessica and Sarah collect insects. Jessica has two hundred thirty-four insects Sarah has 2.5 times as many insects as Jessica

Let x be the total insect Sarah has.

The insects Jessica has = 234

x = 2.5(234)

x = 585

Thus, Sarah has 585 insects if Jessica and Sarah collect insects. Jessica has two hundred thirty-four insects Sarah has 2.5 times as many insects as Jessica

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Karen pumped 7 gallons of water out of her pool each minute for 28 minutes. What was the total change in the amount of water in the pool?

Answers

There was a total of 196 gallons pumped out at the end of 28 minutes if 7 gallons was pumped each minute.
(Is this what you were asking?)

NEED HELP ASAP!!!!! lots of points

Answers

Answer:

c

Step-by-step explanation:

the answer is
A. 2pi/3
Other Questions
Which equation is the rule for the pattern in the table? anybody know how to code?Use an algorithm to help the Python Turtle get to the finish line in 10 steps by using only the 3 commands below: - Turn Left- Turn Right- Move #Answer:1. 2. 3. 4. 5. 6. 7. 8. 9. 10. Please help ASAP need this as last question. would the power generated by Hydro power Cover the requirements for the state of Mississippi. Gloria earned $26 for babysitting for 4 hours. Write and Solve an equation to determine how much Gloria would earn after babysitting 25 hours. one side of a square is 12 CM. If the scale factor of 1/4 is applied to it, what is the measure of a side of the new square? 9/7-2/5 pls help me Which of the following statements is FALSE?A. The Internet allows people to spread news across borders and time zones quickly.B. Late breaking news typically goes to television coverage before the Internet because ofaccessibility.C. Via the Internet, anyone can share their reactions to events instantly.D. On the Internet, anyone can report news events. Evaluate each algebraic expression when a = 4 and b = -2 ab = ________ 2( a - b) = _________ 2a + 4b = __________ i need help with this question i don't know where to start. t + 58 = 668 PLS HELP similar polygons have the same____ but not necessarily the same size someone who gets both correct first get BRAINLY!!PLZ HELP ONLY ANSWERS!!! Which of the following cause the War of 1812?A) The British supplied Native Americans with weapons in the west.B) The British continued impressment of American sailors.C) War Hawks in the U.S. Congress wanted war.D) all of the answers Picture at the top to help with solving the answer. What statements best describe a fictional story with limited omniscient narration? Select two options.It is written from the first-person point of view.It reveals the thoughts of all the characters.It reveals the thoughts of only one character.It directly addresses the reader as you.It maintains a sense of objectivity. Does industrialization lead to high energy consult rates? Why or why not Mr. Smith has owned his car for 12 years. The car has 169,344 miles recorded on the odometer. What is the average number of miles Mr. Smith's car has been driven each year? Does Jim Crow exist today? Why or why not Dillon says that 4b and -2b are not like terms because 4b is positive and -2b is negative. Is he correct? Explain. Which part of language is governed by syntax?Pronoun usageVerb tenseVoiceWord order In which scenario is the ecosystem the most stable? Suggest a reason for this and use the word competition in this explanation