It is desired to check the calibration of a scale by weighing a standard 10-gram weight 100 times. Let μ be the population mean reading on the scale, so that the scale is in calibration if μ = 10 and out of calibration if μ ≠ 10. A test is made of the hypotheses H0 : μ = 10 versus H1 : μ ≠ 10. Which of the three conclusions is best if H0 is rejected?

Answers

Answer 1

Complete question :

It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let µ be the population mean reading on the scale, so that the scale is in calibration if µ = 10. A test is made of the hypotheses H0:µ = 10 versus H1:µ ≠ 10. Consider three possible conclusions: (i) The scale is in calibration, (ii) The scale is out of calibration, (iii) The scale might be in calibration.

Which of the three conclusions is best ifH0 is rejected?

Answer:

The scale is out of calibration

Step-by-step explanation:

The null hypothesis ; H0

H0 : μ = 10 ; if this hold true, then the scale is in calibration

Alternative hypothesis ; H1

H1 : μ ≠ 10 ; if this holds true, then the scale is out of calibration

If the Null hypothesis, H0 is rejected, it means that, there is significant evidence to support the alternative hypothesis ; that the scale is out of calibration.

Hence, the best conclusion is that, the scale is out of calibration.


Related Questions

Tatia is helping her mother make pancakes. Tatia's mother told
her to put 6 half-cups of pancake mix into the bowl. How much
pancake mix is in the bowl?

Answers

There are 3 cups of pancake mix in the bowl

Help

Write an equation for each line

Answers

Answer:

Yellow- y = -3 + 5

Red- y = 2x + 5

Purple- y = 2x - 6

Blue- x = 5

Green- y = 2

I hope this helps you ^^ Good luck :]

Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00

Answers

Please don’t use the link below

Select all the expressions that equal 4 x 106.

(2 x 108) (2 x 10-2)

40 x 105

1.2x10°

3x102

406

400,000

Answers

None of the choices equal 424

THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))

Answers

Answer:

Circle 1: 37.68 ft

Circle 2: 28.26 cm

I need help on my tips for math could someone be nice and help

Answers

Answer:

A im pretty sure its a try it and let me know

which three choices are needed to create the target figure ?

Answers

Answer:

Um is there more to the question?

Step-by-step explanation:

you get a haircut that costs $23. You want to tip the barber 10%. How much tip will you leave him?

Answers

Answer:

$2.30

Step-by-step explanation:

Multiply 23 by .10 to get 2.3

2.3 is 2 dollars and 30 cents

Answer:

$2.30

Step-by-step explanation:

multiply 23 by the decimal form of 10% (0.10)

23*0.10=2.3

True or false? if Matrix A is 3 X 2 and matrix B is 2 X 17 matrix, you can do A X B

A. True
B. False

Answers

What he said on the top

complete the table for the equation. plz helppp

Answers

Not sure my first time, by the way which grade are you in I am in 7.

Teresa is a video game designer andher annual income is $134,723. Teresa must pay income tax of 6%. What is the amount of income tax in dollars and cents that Teresa pays



PLEASE HELP EASY 30 POINTS

Answers

Answer:

I want her mollah

Step-by-step explanation:

1ч (х – 2) =36 times-Ч2

Answers

Answer:

x = -7

Step-by-step explanation:

14(x - 2) = 3(-42)

14x - 28 = -126

14x = -126 + 28

14x = -98

x = -7

The following data points represent the number of guests at Hunter’s Ribeye BBQ House each day since they opened.

96, 279, 255, 254, 75, 211, 271, 291, 102

Display the data in a histogram.

Answers

Step-by-step explanation: first one goes to 2 second one goes to 0 and third one goes to 6              I said "get help" on khan academy

The histogram for the given data is displayed below.

What is histogram?

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.

The given data is 96, 279, 255, 254, 75, 211, 271, 291, 102.

Data in order 75, 96, 102, 211, 254, 255, 271, 279, 291.

From the graph, with intervals 0-74 there are 0 observations

75-149 there are 3 observations

150-224 there is 1 observation

225-299 there are 5 observations

Therefore, the histogram for the given data is displayed below.

Learn more about the histogram here:

https://brainly.com/question/14421716.

#SPJ3

(1\6-1)(3-2/5)-(1/3-1/2)

Answers

Answer:

2 1/3 (simplified)

Step-by-step explanation:

(1/6 - 1) = -5/6

(1 = 6/6)

(3 - 2/5) = 2 3/5

[3= 18 (3 * 6)]

(1/3 - 1/2) = -1/6

(you can change both of the denominators to 6 by multiplying them both by 3 / 2

So the equation now is

(-5/6)(2 3/5) - (-1/6)

-5/6 * 2 3/5 = 2 1/6 (simplified)

2 1/6 - -1/6 = 2 1/3 (simplified)

A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position of the Ferris wheel is level with the loading platform. The wheel completes one revolution in 8 minutes. The function, h(t), gives your height in meters above the ground t minutes after the wheel beings to turn. How high are you off the ground after 6 minutes

Answers

Answer:

height = 20.5068 m    

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5  { since the wheel starts at 6 o clock }

midline  C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5  

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5    

height = -17.5cos( 4.71238898) + 20.5    

height = -17.5 × cos( 4.712) + 20.5  

height = -17.5 × -0.00038898 + 20.5                  

height = 0.0068 + 20.5  

height = 20.5068 m    

24 x 2y = 210
and
2x + 2 =22
Work out the value of x and the value of y​

Answers

Answer:

2x + 2 = 22

subtract 2 from both sides

= 2x = 20

x = 10

=======

24 x 2y = 210

subtract 24 on both sides

2y = 176

y = 88

Answer:

X=20

Y=\frac{35}{8x}

Step-by-step explanation:

Which value of x makes the equation 9=34x true?
Select one:

x = 12

x=814

x = 6

x=634

Answers

did you write it wrong none of the options are possible answers the real answer is 9/34

A drink is made by adding water to juice.
Rana has 120ml of juice.
She adds some water.
She has now made 450ml of the drink.
Has Rana followed the instructions?

Answers

Answer:yes

Step-by-step explanation:

As the Amount is unknown Hence X = Any amount Unless the water amount is given the instructions is yes as she added 120ML Of juice into water which is currently X

NEED HELP ASAP PLEASE HELP I NEED HELP! :/

Answers

Answer:

130 square feet

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y= -16x2 + 1812 + 59

Answers

Answer:

The rocket will hit the ground after 113.28 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of a rocket, after t seconds, is given by:

[tex]h(x) = -16x^2 + 1812x + 59[/tex]

Using this equation, find the time that the rocket will hit the ground.

This is x for which [tex]h(x) = 0[/tex]. So

[tex]-16x^2 + 1812x + 59 = 0[/tex]

Then [tex]a = -16, b = 1812, c = 59[/tex]

[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]

[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]

[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]

The rocket will hit the ground after 113.28 seconds.

The following quadrilateral is a parallelogram. Solve for x, y, and z.

Answers

Answer:

X = 44Y = 31Z = 105

Step-by-step explanation:

The measurements of a quadrilateral will add up to be 360. Additionally, we know these two triangles created within the parallelogram will be congruent, so their corresponding angles will also be congruent by CPCTC.

(44 * 2) + (105 * 2) + (31 * 2) = 360

Have a nice day, fam. Spread The Love.

How many cards are in a standard deck of cards? What are their colors?

Answers

Answer:

52 cards

Step-by-step explanation:

the colors I am not sure of thought sorry

how many different perfect cubes are among the positive actors of 2021^2021

Answers

Answer:

hope this helps :D

Step-by-step explanation:

Perfect cube factors:

If a number is a perfect cube, then the power of the prime factors should be divisible by 3.

Example 1:Find the number of factors of293655118 that are perfect cube?

Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube 4x3x2x3=72

Perfect square and perfect cube

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.

Example 2: How many factors of 293655118 are both perfect square and perfect cube?

Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are 2x2x1x2=8

Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?

Solution:

Let A denotes set of numbers, which are perfect squares.

If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have

2(0 or 2 or 4 or 6 or 8)—– 5 factors

3(0 or 2 or 4 or 6)  —– 4 factors

5(0 or 2or 4 )——- 3 factors

11(0 or 2or 4 or6 or 8 )— 5 factors

Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300

Let B denotes set of numbers, which are perfect cubes

If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have

2(0 or 3 or 6or 9)—– 4 factors

3(0 or 3 or 6)  —–  3  factors

5(0 or 3)——- 2 factors

11(0 or 3 or 6 )— 3 factors

Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72

If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have

2(0 or 6)—– 2 factors

3(0 or 6) —– 2 factors

5(0)——- 1 factor

11(0 or 6)— 2 factors

Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8

We are asked to calculate which are either perfect square or perfect cubes i.e.

n(A U B )= n(A) + n(B) – n(A∩B)

=300+72 – 8

=364

Hence required number of factors is 364.

HELP THIS IS DUE TODAY. A B C or D. The table shows the relationship of how many pounds of pecans are needed to make a certain number of pies:


Number of Pies
3
6
9
Pounds of Pecans
2
4
6


Which graph below shows plots of equivalent ratios for this situation?
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 15, 10 and 30, 20 and 45, 30.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 10, 15 and 20, 30 and 30, 45.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 15, 10 and 25, 10 and 35, 10.
A graph is drawn. The horizontal axis and vertical axis values are 0 to 70 in increments of 10. The horizontal axis label is Number of Pies, and the vertical axis label is Pounds of Pecans. Points are plotted on the ordered pairs 10, 30, and 20, 20 and 30, 10.

Answers

The 4th, did this and got a 100%

What is MEAN ABSOLUTE DEVIATION and how do you find it?

Answers

Step-by-step explanation:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

There are 16 ounces in 1 pound. Juan is mailing a package that weights 10 pounds. He wants to know the weight of the package in ounces.
Complete the sentence.''

Answers

Answer:

160 ounces

Step-by-step explanation:

Easy mental math.

16oz × 10 pounds = 160 oz

please learn your school work. I know it's boring, but this is actually stuff you'll use in the real world. this is simple 4th-6th grade work. :)

Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.

Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation. (5 points)

Part B: How many pounds of milk chocolate are present in the candy? Show your work.​

Answers

Let x be the weight of the candy in pounds, then 0.9x is the weight of the milk chocolate in pounds

The weight of the caramels in the candy is 3 pounds, so

 

An equation that can be used find the total number of pounds of milk chocolate and caramels in the candy is

0.9x + 3 = x ⇒ x = 30

So there are 0.9(30) = 27 pounds of milk chocolate in the candy.

hope this helps

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

∠2=67°

Step-by-step explanation:

Angles along a straight line add up to 180. Therefore:

∠1+∠2=180

113+∠2=180

∠2=180-113

∠2=67°

What is the value of x?

(Only type the numerical value. Do not type x= before your answer)

Answers

Answer:

Step-by-step explanation:

study lol

Answer: 12

Explanation:
180=10x +6x-20+8
180=16x -12
192= 16x
x=12

rewrite in standard form ​

Answers

9514 1404 393

Answer:

  3x -5y = 4

Step-by-step explanation:

The coefficients are mutually prime integers in standard form. Here, a common factor of 8 can be removed from all of them. The result is ...

  3x -5y = 4

Answer:

I think it's this ( 40y+32/24) {See Below For More}

Step-by-step explanation:

Move all constant terms to the right-hand-side

24x=32+40y

Move all constant terms to the right-hand-side

X= 40y+32

24

The Equation Is Solved With:

X 1 = 40y+32

24

Solution Of The Equation:

X1= 40y+32

24

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