A lathe is set to cut bars of steel into lengths of 6 centimeters. The lathe is considered to be in perfect adjustment if the average length of the bars it cuts is 6 centimeters. A sample of 121 bars is selected randomly and measured. It is determined that the average length of the bars in the sample is 6.08 centimeters with a standard deviation of 0.44 centimeters. Compute the p-value for testing whether the population mean is larger than 6 centimeters.

Answers

Answer 1

Answer:

0.0239

Step-by-step explanation:

[tex]H_0;\mu=\sigma[/tex]

[tex]H_a;\mu>6[/tex]

[tex]\bar{x}=6.08[/tex] = Mean

[tex]s=0.44[/tex] = Standard deviation

[tex]n=121[/tex] = Sample size

Test statistic is given by

[tex]\dfrac{\bar{x}-\mu}{\dfrac{s}{\sqrt{n}}}=\dfrac{6.08-6}{\dfrac{0.44}{\sqrt{121}}}\\ =2[/tex]

From T table we know it is a right tailed test.

Degree of freedom = [tex]n-1=121-1=120[/tex]

[tex]P(t>2)=1-P(t<2)\\\Rightarrow P(t>2)=1-0.9761\\\Rightarrow P(t>2)=0.0239[/tex]

Hence, p-value is 0.0239.


Related Questions

I need help on these two pls

Answers

Answer:

Much larger than 1 for both of them

Step-by-step explanation:

0.98=closer to 1
0.0001= close to 0

Find the midpoint M of the line segment joining the points: C = (2, 7) and D= (-8, –5)

Answers

Answer:

the answer is (-3, 1)

luiweytie74gtewkgfrewiurhge

Step-by-step explanation:

word word word word

The crisis in the housing market during the most recent economic recession led to lower vacancy rates in the apartment industry. This, in turn, has resulted in an increase in monthly rents for apartments. Suppose a random sample of 40 apartments had an average rent of $1,090. Assume the standard deviation for the population of apartment rents is $260. Determine the 98% confidence interval for this sample.

Answers

Answer:

(994.37, 1185.62)

Step-by-step explanation:

Given that :

Mean (m) = 1090

Standard deviation (s) = 260

Samole size (n) = 40

α = 98%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 98% = 2.326

Error = 2.326 * (260 / sqrt(40))

Error = 95.620951

Hence,

Confidence interval :

Lower boundary = 1090 - 95.620951 = 994.379049

Upper boundary = 1090 + 95.620951 = 1185.620951

(994.37, 1185.62)

21) A consumer group was interested in comparing the operating time of cordless toothbrushes manufactured by two different companies. Group members took a random sample of 18 toothbrushes from Company A and 15 from Company B. Each was charged overnight and the number of hours of use before needing to be recharged was recorded. Company A toothbrushes operated for an average of 119.7 hours with a standard deviation of 1.74 hours; Company B toothbrushes operated for an average of 120.6 hours with a standard deviation of 1.72 hours. The 90% confidence interval is (-1.93, 0.13). The correct interpretation is

Answers

Answer:

We accept H₀ we don´t have evidence of differences between the two toothbrushes

Step-by-step explanation:

Toothbrushes A

Sample mean                    μₐ = 119,7

Standard deviation           sₐ = 1,74

Sample size                        nₐ = 18

Toothbrushes B

Sample mean                    μ₀ = 120,6

Standard deviation           s₀ = 1,72

Sample size                        n₀ = 15

With  CI = 90 %      CI = ( -1,93 ; 0,13 ) that s the acceptance region for H₀

Test hypothesis    is      

H₀          μₐ =   μ₀  

Hₐ           μₐ ≠   μ₀  

We need to calculate t(s)  as

t(s) = (  μₐ -  μ₀ ) /Sₓ * √ (1/nₐ) + 81/n₀)

and see if it is insde CI

Sₓ  = (nₐ - 1 ) * sₐ² + ( n₀ - 1 ) * s₀² / nₐ + n₀ - 2

Sₓ  = 17*3,03 + 14*2,96 / 31

Sₓ  = (51,51 + 41,44 )/ 31

Sₓ = 2,998

t(s) = 0,9 / 2,998*√(1/18) + (1/15)

t(s) = 0,9 / 1,04

t(s) = 0,87

2 year loan at 6 percent interest rate and $264.00 paid wa

Answers

Answer:2,576

Step-by-step explanation:


A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells
a video game for $60.00, how much money will the retailer receive

Answers

Answer:

$13.80

Step-by-step explanation:

23% of 60 is 13.8, therefore the retailer will receive $13.80 if a $60.00 video game is sold.

Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong? PLS ANSWER FASTTT!! :)

Answers

Answer:i think it is like 17

Step-by-step explanation:

Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points

Answers

The red lines mean the sides with the lines are the same. The red arc means those angles are the same.

Using that information you know the angle where the two same sides connect would also be the same.

So you have one side (S) and 2 angles (A) that are identical.

You can use B. ASA

Answer:

I think it is B.

Step-by-step explanation:

Hope this helped have an amazing day!

Luis buys 6 pizza's for $36.90 at the Italian restaurant, how much does 1 pizza cost?

Answers

Answer:

$6.15 for 1 pizza.

Step-by-step explanation:

The answer is 6.15 because 36.90 divided by 6 is 6.15.

P.S Can I have brainliest?

One pizza is $6.15.

Solve for A if is 3.14 and R = 3

Answers

Answer:

A = 28.26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Equation:   A = πr²

Given:   π = 3.14, r = 3

Step 2: Evaluate

Substitute:                    A = 3.14(3)²Exponents:                   A = 3.14(9)Multiply:                        A = 28.26

what’s the slope?
a line has the given equation y=-3x-10

Answers

Answer: -3

Step by Step Explanation: This type of equation is called slope-intercept form, y=mx+b; the slope is m, so the slope is -3

Answer: slope= -6.0/2.0= -3.0

Step-by-step explanation:

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -16.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -16.000 - (-10.000) = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

x-intercept = -10/3 = -3.33333

 y-intercept = -10/1 = -10.00000

What is the value of x in the equation of y=6x+2.3

Answers

Answer:

The answer is x=y/6 - 0.383 (3 being repeated) , hope this helps you.

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

I think it is x=y/6 - 0.383 (3 being repeated)

Step-by-step explanation:

Hope this helped have an amazing day!

Find the domain of fg f(x)=x+2 g(x)=1/x+2

A. All real numbers
B. All real numbers, expect 2
C. All real numbers, except-2
D. (-2,0) U [2,-2)

Answers

Answer: A. All real numbers

Step-by-step explanation:

Find fg;

f(x) * g(x) = (x + 2) * ( 1 / x + 2)

= ( x + 2) / (x + 2)

= 1

In giving 1 as the product, the domain of fg is any real number.

Oi anybody who solves this quick get 50 pts​

Answers

Answer:

l like ya g

Step-by-step explanation:

I forgot mostly uHm

i believe the answer is B.

If the trapezoid is reflected over JH, a hexagon will be

created

Answers

Answer: 8 units

Step-by-step explanation:

30 POINTS FOR CORRECT ANSWER! NO TROLLING
As the ball moves from Point 3 to Point 4, which energy conversion is taking place?

Group of answer choices

potential to kinetic

kinetic potential

thermal to kinetic

kinetic to thermal

Answers

Answer: potential to kinetic

Step-by-step explanation:

Answer:

Kinetic Energy is defined as energy that a body possesses by virtue of being in motion.

Kinetic Energy is defined as energy that a body possesses by virtue of being in motion.As you walk down stairs, as water boils, and as the planets orbit the sun, kinetic energy is being utilized.GRAVITATIONALApple falls from tree and rolls behind the trunk.

GRAVITATIONALApple falls from tree and rolls behind the trunk.An object’s relative location to a gravitational field is the gravitational potential an object has to do work. Earth’s gravity will pull a ripe apple from the branch and convert it into gravitational kinetic energy.NUCLEARElectrons circle a nucleus at the atomic level.

NUCLEARElectrons circle a nucleus at the atomic level.The mass of an atom’s nucleus is almost entirely comprised of its protons and neutrons. The force binding them together is considered potential energy because it causes them to weigh less than the sum of their parts.ELASTICSpring animation expands and compresses.

ELASTICSpring animation expands and compresses.Elastic potential energy is present when the object, such as a spring, is in a deformed state but can return to a static state. This means the spring has elastic potential energy when it is either stretched or compressed.CHEMICALBattery animation motions towards a full charge.

CHEMICALBattery animation motions towards a full charge.Every animate and inanimate object is the result of chemical reactions. Chemicals in a battery have the potential to be converted into motion, therefore they have chemical potential energy.Potential Energy is defined as the energy stored by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.

Potential Energy is defined as the energy stored by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.When you (or a rock) are standing at the top of a hill, you possess more potential energy than when standing at the bottom. This is because your position relative to the Earth’s center of gravity can exert potential energy upon you to bring you closer to that center.Energy can neither be created nor destroyed, this is the conservation of energy law. However, energy can be altered from one form to another.

Energy can neither be created nor destroyed, this is the conservation of energy law. However, energy can be altered from one form to another.All forms of energy are either potential or kinetic energy. Potential refers to stored energy while kinetic is energy in motion.

Energy can neither be created nor destroyed, this is the conservation of energy law. However, energy can be altered from one form to another.All forms of energy are either potential or kinetic energy. Potential refers to stored energy while kinetic is energy in motion.All energy, whether potential or kinetic, is measured in Joules (J).

A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent plz solve it step by step​

Answers

Answer:

i'm not sure but i think the answer is 5%

Step-by-step explanation:

the number five is where the percentage sign is

The user manual for Layla’s phone notes that the device can be damaged when operated at temperatures below -20°C and above 45°C. Layla wants to know what these ranges are in degrees Fahrenheit and writes these inequalities to rewrite the relationship where F is degrees Fahrenheit.

5/9 (f - 32) 45

Which statement best describes the temperature ranges Layla should avoid while using her phone?

A.Layla should avoid using her phone in temperatures below -4°F and above 113°F.

B.Layla should avoid using her phone in temperatures above 21°F and below 57°F.

C.Layla should avoid using her phone in temperatures below 21°F and above 57°F.

D.Layla should avoid using her phone in temperatures above -4°F and below 113°F.

Answers

Layla should avoid using her phone in temperatures below -4°F

and above 113°F.

Maria receives a certain percentage, %, as a bonus, for each pair of shoes she sells. Last week she sold $10000 of shoes and earned $270 as a bonus. What was her bonus percentage?

2.7%
27%
2.07%
10%

Answers

——-It Should be 2.7


18. The radius of a circle is increasing at a constant rate of 3 cm per second. What is the rate of increase (at any point)
of the area of the circle?

Answers

Step-by-step explanation:

you should have to give more points for this answer

What is the perimeter?

Answers

Answer:

21.3 unit

Step-by-step explanation:

[tex]side CB=\sqrt{(7^{2})+(2^{2})} =\sqrt{53}\\side CA=\sqrt{(5)^{2}+(2^{2})} =\sqrt{29} \\side AB=\sqrt{(5^{2} )+(7^{2} )} =\sqrt{74}[/tex]

[tex]Perimeter=\sqrt{53} +\sqrt{29} + \sqrt{74} =21.2676[/tex] unit

If you were to be driving in a car at a high amount of speed and shot a gun out the window forward (towards the windshield forward). What would happen? Would the bullet keep going and eventually lose its power or would it come back and hit you? Use your own situations in the answers like what kind of speed, gun, caliber, wind speed whatever.

Answers

Answer:

If you shoot the bullet off the back of the car , the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.

Step-by-step explanation:

Step-by-step explanation:

If you shoot the bullet off the back of the train, the bullet will still be moving away from you and the gun at 1,000 mph, but now the speed of the train will subtract from the speed of the bullet. Relative to the ground, the bullet will not be moving at all, and it will drop straight to the ground.If you fire a gun into the air, the bullet will travel up to a mile high (depending on the angle of the shot and the power of the gun). Once it reaches its apogee, the bullet will fall. ... In crowded cities, however, the probability rises dramatically, and people get killed quite often by stray bullets

Plz Mark me as brainlist

Write equations in slope-intercept form for three different lines that intersect at (-2,3).

Answers

Answer:

y = 3/2x + 6

y = -1/4x + 5/2

y = -x + 1

Step-by-step explanation:

I used the point (-2, 3) with a variety of slopes (3/2, -1/4, -1) and plugged the point and slope into y=mx+b to get 'b' (the y-intercept).

Find the ratio :
1/2 hour to 45 minutes​

Answers

Answer:

The answer is 2 : 3.

Step-by-step explanation:

First, you have to convert the units to minutes :

1 hr = 60 min

1/2 hr = 60 × 1/2 = 30 min

Then, you have to simplify the ratio to simplest form :

30 : 45

= (30÷15) : (45÷15)

= 2 : 3

Answer:

To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:

60/2 = 30

So we know half hour are 30 minutes.

Now, we know the ratio 30:45, but we can simplify it, as a fraction.

To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):

30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3

please help for algebra :(

Answers

A = bh
Divide by b
A/b = h

1.298 -
Prime number

Answers

Answer:

what are you asking rlly

PLS HELP ME
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.

(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)

To measure the forearm, measure inside the arm, between the wrist and the elbow.




Part 2
Organize your data and find the rate of change.

Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.

Select two sets of points and find the rate of change for your data.

Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.

The equation below can be used to find the length of a foot or forearm when you know one or the other.

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?

What is the rate of change of the equation from Part A?

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?

Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.

Answers

Answer:

part 1 its telling you to measure people

part two is telling you to put it into a graph and find the rate of change. more than likely there won't be a rate of change for you

part three:

y = 0.860x + 3.302

y = 0.860(17) + 3.302

0.860(17) = 14.62

14.62 + 3.302 = 17.922

y = 17.922

sorry this is as far as i had gotten

Morgan's mom wants to borrow $720 to buy a new computer. The store will charge her 8% simple interest for one year. How much will she have to pay back if she pays the full amount in one year?

Answers

Answer:

$777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

Answer:

Step-by-step explanation:

8/100*720=5760/100

=$57.6

$720-$57.6=$662.4

she will pay back $662.4.

The area of a rectangle is 102 cm, if it's breadth is 6 cm find the length.

Need it ASAP

Answers

Step-by-step explanation:

A=102cm2

A=Lengthxbreadth

102=Lengthx6

Length=17 cm

Which equation represents A, the area in square centimeters of the
rectangle below?
23 cm
16
cm
O A. A= 23+ 16
O B. A = (2x 23) + (2 x 16)
O C. A = 23 x 16
O D. A= (23x 16) x 2

Answers

Answer:

C - formula of area of rectangle is l×w

so 23×16

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Petrarch believed that the "Dark Ages" were not the pagan past, but the Middle Ages, the time that separated him from: the time of Jesus. 2) the time of the Church Fathers. 3) the Trojan War. 4) the Greek and Roman ages. Which phrase describes a feature of igneous rocks that cool quickly during formation?small crystalscoarse surfacesO found beneath Earth's surfaceO exposed after erosion occurs Who was the greatest ruler of the Qin Dynasty? *LaoziShi HuangdiLiu BangConfuciusSima QianWudi The penguin pool at a zoo is in the shape of a circle. A penguin is moving at a constant speed and walks 4 laps around the pool in 10 minutes.How many laps per minute is that? (1 point)A. 0.4 lapsB. 1.0 lapsC. 1.4 lapsD. 2.5 lapsHow many minutes per lap is that? (1 point)A. 0.4 minutesB. 1.0 minutesC. 1.4 minutesD. 2.5 minutesAt that rate, how many laps can the penguin complete in 18 minutes? (1 point)A. 7.2 lapsB. 45 lapsC. 72 lapsD. 180 laps A syringe with 32.0 mL contains gas at 649.0 mmHg. The plunger is pushed in and now the volume is 19.5 mL. What is the new pressure? A solar-powered car has a kinetic energy of 110250 J. Its mass is 180 kg. Work out how fast the car is travelling. -2(x - 5) < 8 what is x Which kick uses the least amount of energy? A) theyre all the same B) scissor kick C) flutter kick D) egg-beater kick In a covalent compound like O2, two pairs of electrons are shared between the atoms. What is the name given to a bond like this? UMM SOMEONE CAN HELP ME I need to do this using the distributive property and collecting like terms.8 4 ( 1/8r 3 1/2 Tom wanted. * A. to dig the prison foundation out with small knives. C. to trick Nat into doing the bulk of the digging for him. B. to give Jim a key to unlock the door. D. to use shovels to make the job go faster. Please help answer the first 2 boxes for brainslt > for brainslt When readers apply information from a news report to the text they are reading in order to understand its centralideas, what kind of connection are they making?LABtext-to-texttext-to-selftext-to-newsO text-to-worldMark this and returnSave and ExitNextSub Rewrite 105,000 in scientific notation.Answer options are in pic below if 1 case of 500 20oz. cups cost 48.38 how much does one cup cost (show all work) Coach Teague is making breakfast for his 6 family members. He is making bacon and omelets. Each omelet needs 3 eggs, how many eggs does he need? what is the overall chemical equation for photosynthesis In 1867, the United States purchased Alaska from Russia. Alaska is about 5.9 105 square miles. The United States paid about $12.20 per square mile. Approximately how much did the United States pay Russia for Alaska? Complete the steps to answer the question. 1. Write the expression: (5.9 105)(12.2) 2. Multiply the decimal values: 105 3. Write in scientific notation: The United States paid Russia approximately for Alaska. Find the unknown of the following Britney graphs to point 6, 3 on accordant grid which describes way she should plot the point is she starts at the origin