2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard deviation is 0.24 mm. True or false: (a) A 95% con dence interval for the mean diameter of the 120 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (b) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 120. (c) A 95% con dence interval for the mean diameter of the 10,000 bearings in the sample is 1 ???? (1:96)(0:24)= p 10; 000.

Answers

Answer 1

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.


Related Questions

Multiply: 8(3t - 5v)

Answers

Answer:

-16tv

Step-by-step explanation:

3-5=-2tv*8=-16tv

The answer is :25t-40v

Explanation: Your disrupting 8 to 3 and 5.

helppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeee itssss urgentttttttttttttttttttttttttttttttttttttttttt

Answers

Answer:

the surface area S of the red solid is 90m^2

Step-by-step explanation:

The computation of the surface area of the red solid is shown below:

First find the scale factor i.e.

= 6 ÷ 4

= 1.5

Now the surface area of the red solid is

= 40 × 1.5 × 1.5

= 90m^2

Hence, the surface area S of the red solid is 90m^2

The same would be considered

In a bag of red and green Holiday M&M’s there are 40 red M&Ms for every 100 M&Ms. How many red M&M’s are in the bag if there are 300 M&M’s total?

Answers

Answer:

if there are 300 m&m's there will be 120 red

How much soup, to the nearest tenth of a cubic unit, can fit in a cylindrical can that is 8 inches tall and has a diameter of 6 inches?

Answers

Answer:

Step-by-step explanation:

2. Triangle ABC is similar to triangle PQR. Which statement is not always true?
1) ZA-ZP 2) ZR-ZC 3) 2B-ZR 4) 2C-ZR

Answers

the answer would be c i think

Use the models above to explain why a 5×2/3 equals 10×1/3

Answers

Answer:

I kind of need the models to help with this one

At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?

Answers

Answer:

9 burritos and 18 tacos

Step-by-step explanation:

We can start this problem by assigning a variable to our unknowns.

Let's name x the number of burritos he buys.

The question states he buys half as many burritos as tacos.

Therefore, the number of tacos he bought is 2x.

Let's set up an equation.

(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost

2.19x+1.29(2x)=42.93

Simplify

2.19x+2.58x=42.93

4.77x=42.93

x=9

Michael bought 9 burritos.

2*9=18

Michael bought 18 tacos.

Answer:

[tex] \displaystyle 18[/tex]

Step-by-step explanation:

we are given that,

tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacos

let the number of tacos and burritos be t and b respectively

according to the 3rd condition we get:

[tex] \displaystyle 1.29t + 2.19b = 42.93[/tex]

according to the 4th condition we obtain:

[tex] \displaystyle t = 2b[/tex]

therefore our system of linear equation is

[tex]\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}[/tex]

so now we end up with a system of linear equation in order to solve the equation we can consider substitution method

so substitute the value of t which yields:

[tex] \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93[/tex]

simplify multiplication:

[tex] \displaystyle 2.58b+ 2.19b = 42.93[/tex]

since we have same variable we can consider the like terms:

[tex] \displaystyle 4.77b = 42.93[/tex]

divide both sides by 4.77:

[tex] \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}[/tex]

reduce fraction:

[tex] \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}[/tex]

[tex] \displaystyle b = 9[/tex]

now substitute the value of b:

[tex] \displaystyle t = 2.9[/tex]

simplify multiplication:

[tex] \displaystyle t =18[/tex]

hence,

he bought 18 tacos

Marty has 1 dozen eggs. He needs 4 eggs to bake a cake.How many cakes can he bake.

If you see this your lucky.
You will get 80 points if you answer this.
This is easy

Answers

Answer:

3

Step-by-step explanation:

12 didved by 4 is 3

Answer:

3 cakes

Step-by-step explanation:

3 cakes can be bake with dozen if eggs

15 - a = 17 what is a?

Answers

Answer:

a = -2

Step-by-step explanation:

15-a =17

a=15 - 17

a=-2

Answer:

hi

Step-by-step explanation:

-a=17-15

-a=2

have a nice day

Find the absolute maximum and minimum values of f on the set D. f(x, y) = x4 + y4 − 4xy + 2, D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ 2}

Answers

Answer:

Absolute maximum at (3,0)

Absolute minimum at (1,1)

Step-by-step explanation:

Given - f(x, y) = x⁴ + y⁴ − 4xy + 2, D = {(x, y) | 0 ≤ x ≤ 3, 0 ≤ y ≤ 2}

To find - Find the absolute maximum and minimum values of f on the set D.

Proof -

Given that, f(x, y) = x⁴ + y⁴ − 4xy + 2

Now,

Differentiate f(x,y) with respect to x and y , we get

[tex]f_{x}(x,y)[/tex] = 4x³ - 4y

[tex]f_{y}(x,y)[/tex] = 4y³ - 4x

Now,

For the critical point, put [tex]f_{x}(x,y)[/tex] , [tex]f_{y}(x,y)[/tex]  = 0

we get

4x³ - 4x = 0

⇒x = 0, -1, 1

but given the range of x is 0 ≤x ≤ 3

⇒x = 0, 1

⇒y = 0, 1

∴ we get

2 critical points (x,y) = (0,0) , (1,1)

Now,

Put the values of x and y in f(x,y), we get

f(0,0) = 0 + 0 - 0 + 2 = 2

f(1,1) = 1 + 1 - 4 + 2 = 0

Now,

for the max and min values, finding the critical value is not enought, we have to find the values in the domain also.

Given domain is 0 ≤ x ≤ 3, 0 ≤ y ≤ 2

So, we have to check the values at the rectangle that have the coordinates

(0,0), (0,2), (3,2), (3,0)

Now,

f(0,0) = 0 + 0 - 0 + 2 = 2

f(0,2) = 0 + 16 - 0 + 2 = 18

f(3,2) = 81 + 16 - 24 + 2 = 75

f(3,0) = 81 + 0 - 0 + 2 = 83

∴ we get

Absolute maximum at (3,0)

Absolute minimum at (1,1)

Does anyone know answer please?

Answers

Answer:

Step-by-step explanation:

The complete question in the attached figure

we know that

When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.

When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent

In this problem

---> by alternate interior angles

we have

therefore

Find the volume of the
rectangular prism.
3 cm
9 cm
7 cm
V = [?]

Answers

Answer:

Step-by-step explanation:

V = L * W * D

V = 9 * 7 * 3

V = 189 cm^3

Answer: 189

Step-by-step explanation: 3*9*7

Can some explain how to do algebra and what's the easiest way to do it
Please explain on the best possible​

Answers

Answer: The most important aspect in doing algebra is having a pen/pencil and paper in hand. It'll give you a better understanding of the question being posed.

Evelyn is going to invest $3,500 and leave it in an account for 16 years. Assuming the interest is compounded quarterly, what interest rate, to the nearest tenth of a percent, would be required in order for Evelyn to end up with $6,200?

Answers

Answer:

Quarterly interest rate= 0.8974%

Step-by-step explanation:

Giving the following formula:

Initial investment (PV)= $3,500

Future Value (FV)= $6,200

Number of periods (n)= 16*4= 64 quarters

It is almost impossible to calculate the interest rate using a formula. To determine the interest rate, we need to use a financial calculator:

Function: CMPD

n= 64

I%= SOLVE= 0.8974

PV= 3,500

FV= -6,200

Quarterly interest rate= 0.8974%

Answer:

3.6%

Step-by-step explanation:

How many more students arrive by school bus than by car?

Answers

Answer:

125 more students arrive buy school bus than by car

Step-by-step explanation:

20% + 25% + 15% = 60%

Bus

100 - 60 = 40% ( bus = 40%)

40% = 0.4

0.4 × 500 = 200 (200 students get to school by the school bus)

Car

15% = 0.15

0.15 × 500 =

car = 75 (75 students get to school by car)

difference

200 - 75 = 125 students (125 more students get to school on the school bus then by a car)

Consider the equation:
y=-x+4
Identify the slope and y-interce

Answers

The slope is -1 and the y-intercept is 4. Hope this helps! :)

I’ll give brainliest and 100 points

Answers

Answer:

Step-by-step explanation:

I first added 13 and 8 to get 21

After that I do 7.5*21 to get 157.5

Then I multiplied 2.5 by 8 to get 20.  But it is a triangle so I have to divide by 2 to get 10

I add 10+10+157.5=20+157.5=177.5

177.5 units²

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

There are 13 flavors at the soda machine, and anyone can choose 6. A sign says we are only allowed to use one of each flavor. You decide to grab a cup and fill it up with your favorite flavors at random (it’s all going to the same place, right?). How many possible soda mixtures can you make?

Answers

Answer:

1716 soda mixtures

A person can choose in 1716 different ways.

What is combination?

A combination is a way of selecting items from a collection where the order of selection does not matter.

Given that there 13 flavors at a soda station, a person has to choose 6 out of this,

We need to find how many possible soda mixtures can you make,

So, using here the concept of combination,

ⁿCₓ = n! / x!(n-x)!

Here, n = 13 and x = 6,

So,

¹³C₆ = 13! / 6!(13-6)!

= 13! / 6! × 7!

= 13 × 12 × 11 × 10 × 9 × 8 × 7! / 6! × 7!

= 13 × 12 × 11 × 10 × 9 × 8 / 6!

= 13 × 12 × 11 × 10 × 9 × 8 / 720

= 1716

Hence a person can choose in 1716 different ways.

Learn more about combination click;

https://brainly.com/question/31596715

#SPJ2

5 grams = centigigrams

Answers

Answer:

500

Step-by-step explanation:

Write the new equation if the graph of f(x)= 4x^2 + 3 is
translated up 4 units.

Answers

its impossible to solve this, but i got -47
I got -47 hope it’s right!

I have nothing to do

Answers

Answer:

ok cool, bro'

Step-by-step explanation:

amazing

Answer:

paint

clean your room

call some friends

find a new hobby

bake/cook

re-do your room

make a wishlist

do some skincare

start learning a new language

start a new netflix series

bike ride/skate/drive

Solve for x and round to the nearest tenth

Answers

9514 1404 393

Answer:

  88.9

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(77°) = 20/x

  x = 20/cos(77°)

  x ≈ 88.9

Minnie shovels driveways to earn money. She can shovel 6 driveways in 4 hours. She earns $19.00 for each driveway. Minnie is saving up to buy a new phone that costs $1 567.50. How many hours does Minnie need to work to earn enough money to purchase the phone? s incorrect. Change your answer and try again! 2 3 4 5 6 7 00​

Answers

9514 1404 393

Answer:

 55 hours

Step-by-step explanation:

The number of hours will be ...

  ($1567.50) ÷ ($19/driveway) ÷ (6 driveways)/(4 h)

  = (1567.50×4)/(19×6) h = 55 h

Minnie needs to shovel driveways for 55 hours to hear enough for the new phone.

Answer:

about 55.275 hours. You may have to round it to the nearest tenth or whole number, whatever the question tells you to do, but this is the approximate answer. PLEASE VOTE BRAINLIEST!

Step-by-step explanation:

What we know:

6 driveways in 4 hours

$19 per driveway

needs $1,567.50

first, find amount of hours for one drive way by setting up a proportion.

6/4 =1/x

x= about 0.67 hours, or about 40.2 minutes.

now think: how many driveways does it take to make 1,567.50?

1,567.50/19= 82.5

This means it will take her 83 driveways to earn all of her money.

The final step is to multiply this by the amount of minutes, and then you will have your answer! 82.5*40.2= 3316.5

Divide by 60 to convert to hours.

Answer: 55.275

Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 months. If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries

Answers

Answer:

They should guarantee the lifetime of their batteries for 32 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 36 months and a standard deviation of 2 months.

This means that [tex]\mu = 36, \sigma = 2[/tex]

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-2.054 = \frac{X - 36}{2}[/tex]

[tex]X - 36 = -2.054*2[/tex]

[tex]X = 31.89[/tex]

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

NEED HELP IN FINDING AREA

Answers

Answer:

492 yd^2

Step-by-step explanation:

Way 1: 250 + 242 = 492

Way 2: 800 - 132 - 176 = 492

PLEASE HELP QUICK I NEED IT TO PASS

Answers

Answer:

Its 81

Step-by-step explanation:

81 good luck bestie :)

Which expression can you substitute in the indicated equation to solve 3x − y = 5, x + 2y = 4 ?

A 2y − 4 for x in 3x − y = 5
B 3x − 5 for y in x + 2y = 4
C 3x − 5 for y in 3x − y = 5
D 4 − x for y in 3x − y = 5

Answers

Answer:

3x−y=5;x+2y=4

x=2 and y=1

Step-by-step explanation:

Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100, how much in total did he pay?

Answers

Answer:

121

Step-by-step explanation:

3% of 100 = 3

18% of 100 = 18

100+3+18=121

HELP ASAP WILL GIVE BRAINLIEST PLS!!!!
How can you use probability to understand why events happen or do not happen?

Answers

ANSWER:

By determining the number of possible outcomes, we have to examine many reasons behind the events. When examining the reasons behind these events we will eventually find a pattern. This pattern is what tells us how often something may or may not happen. By knowing how often something may or may not happen we can determine when it will reoccur in the future.

Step-by-step explanation:

Which option identifies the systematic error in the following scenario?
Mary is measuring the weight of an object using a scale. The scale reads 2 lbs. too high for the first measurement she takes. When she takes the measurement again using the same steps, the scale again reads 2 lbs. too high.

A.) The error cannot be predicted to occur.
B.) The error can be reproduced.
C.) The error in measurement is estimated.
D.) The error amount fluctuates.

Answers

Answer:

B the error can be reproduced

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