LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.

Answers

Answer 1

Answer:

The answer is "0.0023 and Choice a"

Step-by-step explanation:

In point a:

The central limit theorem:

[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]

In point b:

The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.


Related Questions

Rachel received a monthly raise of $105.25. If this represented a 5.5% increase, what is her monthly salary after the raise?

A. $1,913.64
B. $1,964.13
С. $2,018.89
D. $2.089.18

Answers

Answer:

C

Step-by-step explanation:

105,25:5,5*105.5=2018,89

find the circumference of the circle to the nearest tenth ​

Answers

Answer:

34.6

Step-by-step explanation:

Answer:

It will be 34.6 by my opinion

Find each angle measure

Answers

Answer:

angle 1 = 63°

angle 2 = 117°

angle 3 = 63°

Step-by-step explanation:

angle 2 = 117° (vert.opp.angles)

angle 1 = angle 3 (vert.opp.angles)

angle 1 + angle 2 + angle 3 + 117° = 360°

angle 1 + 117° + angle 3 + 117° = 360°

angle 1 + angle 3 = 360° - 117° - 117°

angle 1 + angle 3 = 126°

angle 1 = 63°

angle 3 = 63°

A cell phone provider classifies its customers as Low users (less than 400 minutesper month) or High users (400 or more minutes per month). Studies have shownthat 80% of the people who were Low users one month will be Low users the nextmonth, and that 70% of the people who were High users one month will be Highusers the next month.
(a) Set up the 2x2 stochastic matrix with columns and rows labeled L and H that displays these transitions
(b) Suppose that, during the month of January, 50% of the customers were Low users. What percent of the customers will be Low users in February? In March? (Type an integer or decimal for each matrix element.)

Answers

1. The stochastic matrix for the given transitions is:

   [tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]

2. 40.0% people in February and 32.0% people in March will be the low  users if there are 50% low users in January.

It is given that,

80% of the people who were Low users one month will be Low users the next month.

That means for the transition low-low (L-L)

p = 0.80

So, for Low-high transition (L-H)

p = 1-0.80 = 0.20

It is also given that 70% of the people who were High users one month will be High users the next month.

That means, p = 0.70 for the transition high-high (H-H)

Then for H-L transition, p = 1-0.70 = 0.30

(a) The 2x2 stochastic matrix for these transitions is:

[tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]

(b) Given that 50% users are the low users in month of January.

[tex]\text{Percent of the customers will be Low users in February}= (\text{low users in month of January} \times \text{Probability of L-L transition.}) \times 100\%[/tex]= (0.50 x 0.80)x100%

= 0.4x 100%

=40.0%

Now, the percentage of people who will be low users in the month of march = (low users in February x probability of L-L transition)x100%

=(0.40x0.80)x100%

=0.32x100%

=32.0%

Hence, the percentage of people who will be low users in the month of February and in the month of March are 40.0% and 32.0% respectively.

Therefore, the results are:

1.2x2 stochastic matrix for the transitions is as:

         [tex]T = \left[\begin{array}{ccc}0.80 & 0.20\\0.30&0.70 \end{array}\right]\\[/tex]

2. The percentage of people who will be low users in the month of     February and in the month of March are 40.0% and 32.0% respectively.

Learn more about stochastic matrix here:

https://brainly.com/question/29737056

#SPJ4

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

i belive it is answer  B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

im not sure

what is the GCF of 24 and 20 is?

Answers

Step-by-step explanation:

4. because it's the highest number your can evenly divide both numbers by

Graph the function f(x)= -³√x+2.

Answers

Answer:

Step-by-step explanation:

Which line shown appears to have a Y-intercept of 3?
A. I
B. II
C. III
D. IV
E. none of the above​

Answers

It will be D because it stands for lV

Convert 360°F to °C, rounded off to the nearest 10°C.

Answers

Answer:

360 Fahrenheit is equal to 182.222 Celcius, round it to 182

Step-by-step explanation:

according to the Michigan DNR, the wolf population on Beaver Island can be modeled by the equation P= 1300(.87)^x. Is the population increasing or decreasing, and by what percent? ​

Answers

Answer:

The population is decreasing by 13%.

Step-by-step explanation:

The standard exponential equation can be modeled by:

y = A(1 ± r)^x


A store gives customers a markup of 13%. If the store sells a belt for $25, what was the wholesale price paid for the belt by the store?

Answers

Answer:

$22.12

Step-by-step explanation:

Let x be the wholesale price (the price before adding the markup).

The markup is 13%, so 13% of x is added to x.

x + 13%x = $25

x + 0.13x = 25

1.13x = 25

x = 25/1.13

x = 22.12

Let's play Cooking Diary! Together we'll rock the culinary world! https://social-cd.mytonagames.com/4gx9R8​

Answers

Betttttttttttttttttttttt

Volume of a square prism with faces of 3/8

Answers

Answer:

27/512 in.^3

Step-by-step explanation:

volume = side^3

V = (3/8 in.)^3

V = 27/512 in.^3

PLEASE HELP ;(

If x varies directly as y, find
x when y = 8.

x = 11 when y = -3

X =

Answers

Answer:

1638 or 1368!

Step-by-step explanation:

sin 30Degrees = square of 3/2 and cos 30degrees =1/2 true or false

Answers

Answer:

False

Step-by-step explanation:

Trying it in a calculator says otherwise meaning it's false

please please help me I will mark brainlist !!

Answers

Answer:

9. B. 32 millimeters

10. C. 7 inches

11. C. 56.24 millimeters

13. B. 14.13 square feet

Step-by-step explanation:

9. Radius of a circle or any circular shape = ½ of its diameter

Diameter of the disk = 64 millimeters

Radius of the disk = ½(64) = 32 millimeters

10. Width of the cooler = 6 in.

Length = 8 in.

Volume = 336 in.³

Height = ?

Formula for volume of a rectangular prism = L*W*H

Plug in the values

336 = 8*6*H

336 = 48*H

Divide both sides by 48

336/48 = H

H = 7 inches

11. A dime has a circular shape

The circumference of the dime = circumference of a circle = πd

Where,

d = 17.91 millimeters

π = 3.14

Plug in the values

C = 3.14 × 17.91 = 56.2374

≈ 56.24 millimeters (nearest hundredth)

12. Area of the top of the desk = area of semicircle = ½ × πr²

Where,

r = ½(6) = 3 ft

π = 3.14

Plug in the values

Area = ½ × 3.14 × 3² = ½ × 3.14 × 9

Area = 14.13 square feet

HELPPPPPPP PLSSSSSSSS

Answers

Answer:

D'(5,2)

E'(13,-5)

F'(15,3)

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿Cuántas vacas tenía al principio, ¿cuántas murieron y cuántas vendió?

Answers

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]

[tex]x = 84[/tex]

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

[tex]y = \frac{3}{7}\cdot x[/tex]

[tex]y = 36[/tex]

Murieron 36 vacas.

Cantidad de vacas vendidas

[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]

[tex]z = 24[/tex]

24 vacas fueron vendidas.

a bag contains 1 red beads,2 yellow beads,2 green beads and 1 blue beads
a bead is chosen at random

a)what is probability that it is green ?

b)what probability that it is green or yellow

Answers

Answer:

a) 2/6           b) 4/6

Step-by-step explanation:

You add the amount of beads: 1+2+2+1= 6

And take the amount of green beads and put it over the total amount so 2/6

For b you do the same but add the green and yellow beads and put that over the total amount 4/6

Answer:

Step-by-step explanation:

a) 2/6 = 1/3

b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) =  1/15 x 1/15 = 1/225

im not sure if my answers are correct

What is the value of the discriminant? 3y2 = 8y + 2
−40


56


72


88

Answers

Answer:

88

Step-by-step explanation:

a = 3

b = -8

c = -2

(-8)² 4(3)(-2) = 64 + 24

88 is the answer to your question

Pls help I don’t know hot to multiply the last part 8 2

Answers

Answer:

8^2 = 64

Step-by-step explanation:

Hi! Okay, let's get started!

[tex]8^{2}[/tex] is what you need help with right?

So, that equals to 8 x 8.

8 x 8 = 64, so it would be 64

Hope that helps!

-Aphrodite :)

The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.

Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)

Answers

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

WILL MARK BRAINLIEST


The number of students in 10 kindergarten classes is shown below
20, 18, 21, 18, 22, 24, 18, 23, 23, 24,

What is the median number of students in the kindergarten classes?

What number of students describes the first quartile

what number of students describes the third quartile

what number of students describes the interquartile range

Answers

22 (what number is in the middle one you put it in ascending order)

18 (the first quartile is the first quarter of the sorted list)

23 (the third quarter, the number in between the last number and the median)

5 (the range between quartile 1 and quartile 3)

Have a great day <3

What makes a circle a special kind of geometric figure?

Answers

Answer:

it is unlike other shapes

Step-by-step explanation:

it has no egdes,vertices etc.

What is the range of this function?
{(-2,3), (0,1), (1, -2), (2,5)}

Answers

Answer:

3,1,-2,5

Step-by-step explanation:

The range means the y number of the domain (x)

Answer:

Hi! The answer to your question is {3,1,-2,5)

Step-by-step explanation:

The Domain is a set of all the values of x. The Range is a set of all the values of y.

Hope this helps **™

- Brooklynn Deka

❣❣❣

What effect does armature reaction have on the torque speed characteristic of a DC shunt motor?​

Answers

Answer:

Step-by-step explanation:

The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.

…… (1)

where

Terminal voltage of the motor

Flux in the motor

Torque induced in the motor

Armature resistance

If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.

express y as a function of x.

I keep getting hairy answers and I'm not sure I'm doing this correctly​

Answers

Answer:

[tex]y = 7x - \frac{2}{6}[/tex]

Step-by-step explanation:

In y = (1)/(2)  (3x+4) - (1)/(3) (x+7)

y = 7x-2/6 (Solving for y)

x = 6y/7 + 2/7

Answer:

4 ln y = 1/2 ln (3x + 4) - 1/3 ln (x + 7) + ln C4 ln y = ln [C*(3x + 4)[tex]^{1/2}[/tex]/(x + 7)[tex]^{1/3}[/tex]]ln y = 1/4 ln [C*(3x + 4)[tex]^{1/2}[/tex] / (x + 7)[tex]^{1/3}[/tex]]ln y = ln [C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]]y = C[tex]^{1/4}[/tex](3x + 4)[tex]^{1/8}[/tex] / (x + 7)[tex]^{1/12}[/tex]

or

y = [tex]\sqrt[24]{C^6(3x + 4)^3/(x + 7)^2}[/tex]  

HELP PLEASE THIS IS DUE IN 15 MIN!!!!!!!!!!!
look at the picture

Answers

Answer:

c reflexive property

if you look at it it's reflecting

Answer:  Choice B) ASA

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

Explanation:

For statement 1, we'll have angle O congruent to angle M. This is visually given by the angle arcs that are the same.

For statement 2, we'll have segment OL congruent to segment LM. This is also given because of the tickmarks on the segments to show they are the same length.

In statement 3, angle KLO is congruent to angle MLN. The reason for this is they are vertical angles. So if your teacher was asking about what goes for reason 3, then you would be correct in selecting choice A.

The actual answer is choice B) ASA because we have two pairs of congruent angles (refer to statements 1 and 3 mentioned earlier); between those angles for each triangle we have a pair of congruent segments (refer to statement 2). So that's why we go for ASA. As you can probably guess, "A" stands for "angle" and "S" stands for "side". The order matters. The side must be between the angles in question. This means AAS is slightly different than ASA.

Side note: The reflexive property is the idea that any segment or angle is congruent to itself. It's not used at all here, but it's useful in other situations.

Another side note: CPCTC stands for "corresponding parts of congruent triangles are congruent". It basically means that if two triangles are congruent, then the pieces that match up together are congruent as well.

Consider the point on the polar graph below.



Represent the point's location in the polar form (r,θ) where 0≤r<50 and 0≤θ<2π.
(r,θ)=

Represent the point's location in the polar form (r,θ) where 0≤r<50and 2π≤θ<4π.
(r,θ)=

Represent the point's location in the polar form (r,θ) where 0≤r<50and −2π≤θ<0.
(r,θ)=


Answers

J0IN G00GLE MEET GIRL$

wnp-hxru-ipf

Find the slope of the line.

Answers

Answer:

1/3 is the slope

Step-by-step explanation:

hope this helps

Other Questions
ways the influence of values on the choice of goals you set for yourself Whether speech is going to be delivered before one or one hundred people, the speaker should:a.Concentrate on getting everything out quicklyb.Imitate the mannerisms of great speakersc.Prepare their thoughts in advanced.Use their biggest vocabulary to sound educated Which is the main function of the respiratory system?1. to protect the internal organs2. to help oxygen get into blood vessels3. to push blood to all parts of the body4. to protect the body from illness I f m PARAGRAPH QUESTION write a paragraph about 10lines on the effects of War Communism on the Russian Economy. The graphs of triangles LMN and NOP are shown. which of the following best describes the slope of line LP?A) 5/2B) 2C) 2/5D) 1/3 HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPWhich shading technique is used?A. Hatching B. Stippling C. Cross-HatchingD. Blending Are there any ways to compare life on Animal Farm for the animals to real life? Why or why not? l saw _little boy run across _car hit _boy _car stopped and - man came out of _car _man phoned for _ambulance immediately _arrived in no time, I need vowels sounds like this (a, an, or the) appropriately A survey is conducted at two junior highschools asking students about the number ofsodas they consume each day.Sodas Consumed Per DayHEJunior HighJunior High B1Based on the data shown in the graphs,which statement is true? During times of emergency in a public place, people act differently when there are several people than when there are just a few. If you had fallen and badly injured yourself, the surrounding masses of people are less likely to help you than if just one or two people were present. This is called the bystander effect.Which type of psychologist would be most interested in studying why people in crowds are less likely to help a bloody, injured person needing help?forensic psychologistorganizational psychologistsocial psychologistcounseling psychologist what is the nature of salt which is formed by the combination of weak acid and strong base And have a great day Discuss the changes World War II brought about in domestic economic development. Ser She skySOURCE:1. Name the THREE processes responsible for the loss of the sun's heat in the atmosphere you planted sunflower seeds in your backyard and everyday the number of flowers doubles if it takes 42 days for the flowers to fill the garden how many days would it take for them to fill half of the gardenPlz HELPPP]PPPPPPPPPPPPPPPP ayuda sentido figurado de la frase el mundo es un jardn lleno de ortigas invadido por la inmundicia y la putrefaccion Does anyone know the book Of Mice and Men? Light waves travel at 3 10 8 m/s. If the light wave has a particular wavelength of 400 nm (400 10 9 m), calculate its frequency. The phenomenon that causes air masses and water to bend or curve is the ______________.PLZ I NEED HELP ILL GIVE BRAINLIEST Read the excerpt from Act III of Julius Caesar.Antony: (To dead Caesar, with grief) 0, pardon me, thou bleeding piece of earth, that I am meek and gentle with these butchers. Thou art the ruins of the noblest man that ever lived in the tide of times.(Looking after the murderers, he shakes his fist at them in fury.) Woe to the hand that shed this costly blood! A curse shall light upon the limbs of men. (He points to Caesar, whose ghost will rise.) And Caesar's spirit, ranging for revenge, come hot from Hell, shall in these confines with a monarch's voice cry, "Havoc!" and let slip the dogs of war that this foul deed shall smell above the earth with carrion men, groaning for burial.What makes this excerpt from Act III of Julius Cesar an example of a monologue?Antony is alone on stage and shares his inner conflict aloud. Antony discusses his grief with other characters.Antony calls Caesar's murderers back on stage and threatens his revenge.Antony reveals Brutus's betrayal of Caesar to the citizen's of Rome.