Scott is the owner of a tool and die shop. He has hired you to check his machine’s calibration prior to starting production on a large order. To check this, you set the machine to create 1.5 inch screws and manufacture a random sample of 200 screws. That sample of screws has an average length of 1.476 inches with a standard deviation of 0.203 inches.

Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs? Justify your reasoning mathematically.

Answers

Answer 1

Using the t-distribution, it is found that we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is of 1.5 inches, that is:

[tex]H_0: \mu = 1.5[/tex].

At the alternative hypothesis, it is tested if it is different, hence:

[tex]H_1: \mu \neq 1.5[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In this problem, their values are:

[tex]\overline{x} = 1.476, \mu = 1.5, s = 0.203, n = 200[/tex].

Hence, the test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{1.476 - 1.5}{\frac{0.203}{\sqrt{200}}}[/tex]

[tex]t = -1.672[/tex]

What is the decision?

Considering a two-tailed test, as we are testing if the mean is diffrent of a value, with 200 - 1 = 199 df and a standard significance level of 0.05, the critical value is of [tex]|t^{\ast} = 1.972[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which is convincing evidence that the machine is working properly.

More can be learned about the t-distribution at https://brainly.com/question/16313918


Related Questions

75 percent of 32 students had an A,how many students did not get an A?

Answers

Answer:

8 did not get an A

Step-by-step explanation:

75%  obtained an A , then

25% did not obtain an A

25% of 32

= [tex]\frac{25}{100}[/tex] × 32

= 0.25 × 32

= 8

One sixth of the cars that Valerie saw on her vacation were red, and one seventh of them were blue. What part of the cars that she saw was either red or blue?​

Answers

Answer:

13/42.

Step-by-step explanation:

That would be the sum of the 2 fractions:

1/6 + 1/7

= 7/42 + 6/42

= 13/42.


What is the value of x in trapezoid ABCD?
OX=15
OX-20
OX=45
OX=60

Answers

Answer:

15.

Step-by-step explanation:

1) property:

m(∠B)+m(∠D)=180°;

2) according to the property:

3x+9x=180°; ⇒ x=15°

The value of x is 15 degree in the trapezoid ABCD.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles

A trapezoid is a quadrilateral with one pair of opposite sides parallel.

ABCD is a trapezoid.

We have to find the value of x in the given quadrilateral.

The sum of opposite angles of a quadrilateral is 180 degrees.

m(∠B)+m(∠D)=180°

From the figure m(∠B) is 3x and m(∠D) is 9x

3x+9x=180°

Combine the like terms

12x=180

x=15 degrees.

Hence, the value of x is 15 degree in the trapezoid ABCD.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ5

The cyclist drove from the village to the town, 30 km away. back on
the same road, he reduced his speed to 2 km/h and therefore
drove 30 minutes longer. At what speed did the cyclist ride from
the village to the city?

Please I really need your help quick

Answers

Answer:

14.5 hours

Step-by-step explanation:

Take the return trip situation.

From town to village

Distance = 30 kmSpeed = 2 km/hTime = Distance/Speed = 15 hours

That is equal to the sum of t, the time taken from the village to the city and 30 minutes.

⇒ t + 30 minutes = 15 hours

⇒ t + 0.5 hours = 15 hours

⇒ t = 14.5 hours

-4. A car traveled 36 miles in 45 minutes. The car traveled at a constant speed. If the car
continues to travel at this rate, which equation can be used to determine y, the total
number of miles the car will travel, in x hours?
(2017)
A. y=48x
B. y=x+48
C. 48y = x
D. 48+y=x

Answers

I think it’s A because of you find the miles traveled per minute you get 0.8. Then you multiply that by 60 and get 48(because there are 60 minutes in an hour). Since you have the miles PER HOUR, you can make y equal to 48 times x which is represented by choice A.

Answer:

A. Is the answer

I'm correct right?

Can someone help? I don’t get this one

Answers

Answer:1.4*10^-9

Step-by-step explanation:

Answer:

1.4×10−x^-{9}

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hopefully this helps you!

- Matthew

Write the measure of this missing angle

Answers

Answer:

c= 30

Step-by-step explanation:

To find the value of c, start by forming an equation using the ∠ sum of ∆ property.

c° +60° +90°= 180° (∠ sum of ∆)

Simplify:

c° + 150°= 180°

c°= 180° -150°

c°= 30°

c= 30

Notes:

The sum of the angles in a triangle is 180°, which is abbreviated as '∠ sum of ∆'. The angle indicated by a square is called a right angle, and has a value of 90°.

pls help asap!!!!!!!

Answers

Answer:

[tex]3\cdot \frac{1}{2},\:\frac{21}{7},\:\pi ,\:4.1[/tex]

Step-by-step explanation:

convert the number to all decimals or fraction and compare.

You are a chef and you are tasked to prepare a lunch menu proposal for an upcoming
symposium of different youth organizations to be catered by the restaurant your
restaurant. You need to do the following:
1. Come up with 5 sets of lunch menus with a unique title for each. Consider the
different food preferences (according to the age group, culture, and others). (You
may include descriptions and appetizing pictures.)
2. Out of these menus, how many ways can the event organizer choose 3 out of the
five lunch menus you prepared for their initial selection? (Show your solution)
a. With repetition
b. Without repetition
3. Give at least 3 of these ways.
a. With repetition
b. Without repetition
Your output will be rated according to the following criteria:
Presentation of the Lunch Menus (which may include pictures). Accuracy of the use of
Mathematical Concepts (Combination and/or Probability of Simple Events), and
Feasibility of the Proposed Lunch Menus.

Answers

The lunch menu is an illustration of permutation and combination

There are 125 ways to select three lunch menus with repititionThere are 10 ways to select three lunch menus without repitition

The lunch menu

To answer this question, the following set of lunch menu would be used:

Fish and chips.Ham sandwich.Superfood salad.Cheese sandwich.Jacket potato with filling.

How to select 3 lunch menu with repitition?

Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.

So, the number of selection is:

n = 5³

Evaluate

n = 125

Possible selections are:

Fish and chips, Jacket potato with filling and Jacket potato with filling.Ham sandwich, Ham sandwich and Ham sandwichHam sandwich, Superfood salad and Cheese sandwich

How to select 3 lunch menu with repitition?

Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.

So, the number of selection is:

n = ⁵C₃

Evaluate

n = 10

Possible selections are:

Fish and chips, Jacket potato with filling and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichFish and chips, Ham sandwich and Superfood salad.

Read more about combination at:

https://brainly.com/question/11732255

Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?

Answers

Answer:

What would you do when you okay so he said yes would go What would you do when you okay so he said yes would go What would you do when you okay so he said yes would What would you do when you okay so he said yes would goWhat would you do when you okay so he said yes would go

Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? a) no, it's short $207.00. b) no, it's short $227.00. c) yes, there's a surplus of $207.00. d) yes, there's a surplus of $227.00.

Answers

The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

From the table, we have

The amount of the savings will be

Saving amount = $ 20

Then the amount of the expense will be

Expense amount = 150 + 75 + 2 = 227

Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be

→ savings amount - expense amount

→ 20 - 227

→ $ 207

Thus, the expense amount is more than the savings amount. No, it's short $207.

More about the statistics link is given below.

https://brainly.com/question/10951564

please help and tysm!! :)) <3 ​

Answers

Answer:

39

Step-by-step explanation:

above 50 it's nearest 100.

Please mark me as a brainliest

Answer:

38.98

Step-by-step explanation:

Step 1: look at the number after the hundredths place, in this problem being 7

Step 2: Indecate wither thr number is larger than 5 or smaller than 5. If larger you would round up, if smaller you'd round down.

In this problem you would round up.

Step 3: When rounding up you go to the hundredths place and add one to that place. When rounding down, you delete all the values after the hundredths place.

Convert 0.631 to a fraction in simplest form and a percent.

Answers

Answer:

63.1%

631/1,000

Step-by-step explanation:

help me in this question ​

Answers

Answer:

1.63 cm

Step-by-step explanation:

Volume of water in Tank A

7 x 7 x 7343 cm³

Volume of Tank B

15 x 14 x 10210 x 102100 cm³

Finding Height

Volume of water of Tank A filled in Tank B / Base Area of Tank B343 / 2101.63 cm

Answer:

1.63 cm (nearest hundredth)

Step-by-step explanation:

Formulae

Volume of a cuboid = base width × base length × height

Area of a rectangle = width × length

Tank A

Given:

base width = 7 cmbase length = 7 cmheight = 7 cm

Volume of Tank A = 7 × 7 × 7 = 343 cm³

Tank B

Base area of Tank B = 14 × 15 = 210 cm²

Solution

Height = volume of Tank A ÷ base area of Tank B

           = 343 ÷ 210

           = 49/30 cm

           = 1.63 cm (nearest hundredth)

Which rule best describes the pattern?
3, 9, 27, 81, ___, ____, ___
A. Add by 6
B. Add by 6, add by 18
C. Divide by 3
D. Multiply by 3

Answers

Answer:

D. Multiply by 3

Step-by-step explanation:

Given:

A sequence 3,9,27,81,__,__,__

To find:

Pattern

Notice that if you keep multiplying by 3:

3*3 = 99*3 = 2727*3 = 81

Then you will get exact sequence as given, so next 3 missing terms have to be:

81*3 = 243243*3 = 729729*3 = 2187

Hence, the pattern for this sequence is to multiply by 3.

Note

This given sequence is called Geometric Sequence, a sequence with common ratio.Common Ratio can be found by dividing next term with previous term. (I.e. 9/3 = 3 so a common ratio for this sequence is 3)By multiplying previous term with a common ratio, you get the next term.

(4x^2+9x-7)-(-7x^2+5x-1)
(4x
2
+9x−7)−(−7x
2
+5x−1)

Answers

Step-by-step explanation:

I think the expression is

(4x² + 9x - 7) - (-7x² + 5x - 1)

and that is the same as

4x² + 9x - 7 + 7x² - 5x + 1 =

= 11x² + 4x - 6

remember that the combination of two '-' signs turns this into one '+' sign.

to subtract a negative number is indeed the same as adding a positive number with the same absolute value.

can someone help i need a a

Answers

Answer:

Distributive Property

Step-by-step explanation:

You can distribute the 5 to the 6 and 9 in the parenthesis.

Answer:

distributive

is the letter A

What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14 cm?

Answers

Answer:

Step-by-step explanation:

Pyramid height should be 14

Base area should be 14*14(196)

So, Base area is 196

1. Multiply the Base area by the height of the pyramid:

196*14=2744

2. Divide the number above by 3:

2744/3=914.7

Eric is a great skateboard fan. He visits a shop named SKATERS to check some prices. At this shop you can buy a complete board. Or you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of hardware, and assemble your own board. The prices for the shop's products are:

Eric has 120 zeds to spend and wants to buy the most expensive skateboard he can afford. How much money can Eric afford to spend on each of the 4 parts? Put your answer in the table below.

Answers

Answer:

Deck | 60 zed

wheels | 14 zed

trucks. | 16+16 32 zed

Hardware | 10 zed

total. | 116 zed

remaining 4 zed

Step-by-step explanation:

hope this helps

mark me brainliest

deck | 60ZD
wheels / 14zed

omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!

Answers

Answer:

x = 45, y = 24.

Step-by-step explanation:

If the 2 numbers are x and y:

x + y = 69...........(1)

x = 2y - 3

x - 2y = -3...........(2)

Subtract: (1) - (2):

x - x + y - (-2y) = 69 - (-3)

y + 2y = 72

3y = 72

y = 24.

From equation 1:-

x + 24 = 69

x = 45.

Answer:

one number would be 63 and the other would be 6

Step-by-step explanation:

69/2=34.5

it says 3 less which means minus 3, so you would:

34.5-3=31.5

then it says twice the smaller number, so you would:

31.5*2

How many solutions does this system of equations have?
Sy=-4x + 3
2x + 8y = 10

Answers

Answer:

Step-by-step explanation:

Assuming the s is a typo the answer to this system is x=7/15 and y=17/15

katie says the graph of y = 8 (1/2)^x is the same as the graph f(x) = 8(1/2)^x. Do you agree? explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

In two-demensional graphing f(x) and y are used in the same way. They both represent a "function of x"

Solve for w : 5w squared - 5w = 0

Answers

Answer:

The answer is 1

Step-by-step explanation:

5w² – 5w = 0

Add 5w both side

5w² – 5w + 5w = 5w – 5w

5w² = 5w

Now, Divide both side by 5w we get,

5w²/5w = 5w/5w

w = 1

Thus, The value of w is 1

Answer:

w = 1

Step-by-step explanation:

Given :

5w² - 5w = 0

Bring 5w to the other side.

5w² = 5w 5 and w are each present on both sides so they cancel out, leaving us with :w = 1

A spherical balloon has a circumference of 25 cm.
a.) What is the approximate surface area of the balloon to the nearest square centimeter?
b.) What is the approximate volume of the balloon to the nearest cubic centimeter?

Answers

The approximate surface area of the balloon is 199 cm².

The approximate volume of the balloon is 262 cm³

What is the surface area and the volume of the balloon?

Radius of the balloon = circumference / 6.2832

25 / 6.2832 = 3.98cm

Surface area = 4πr²

4 x 22/7 x 3.97² = 199 cm²

Volume =  4/3πr³

4/3 x 22/7 x 3.97³ = 262.20 cm³

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

Kalyue drew a rectangle with a perimeter of 20 inches. Then he tried to draw a square with a perimeter of 20 inches. What are the dimensions of square with a perimeter of 20 inches?

Answers

Step-by-step explanation:

a square has 4 identical sides.

so, when you have to "walk" around the perimeter of a square you have to go 4 times the same distance.

therefore

20 = 4×side length

side length = 20/4 = 5 in

it is a 5 in × 5 in square.

FYI a rectangle has 2 pairs of sides that are equally long inside their pair.

and so you have in this case a perimeter of

2×6 + 2×4 = 12 + 8 = 20 in

A bird drops a stick to the ground from a height of 75 ft. The function h= - 16t2 + 75 gives the stick's
approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
graph.

Answers

The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds

How to determine the time it hits the ground?

The function is given as:

h(t) = -16t^2 + 75

Next, we plot the graph of the function h(t)

From the graph of the function h(t) (see attachment), we have the following highlight:

t = -2.165 and t = 2.165 when h(t) = 0

Time cannot be negative.

So, we have:

t = 2.165

This means that the stick hits the ground at about 2.165 seconds

Read more about quadratic functions at:

https://brainly.com/question/8649555

The radius of a circle is 11 miles. What is the circle's circumference?

Answers

Answer:

69

Step-by-step explanation:

The formula for a circumference with the radius is C=2πr=2·π·11≈69.11504mi.

Find the volume of the cone

Use 3.14 for π. Round your answer to the nearest tenth if needed. Do not enter units.

Answers

Answer:

Step-by-step explanation:

the circumference for the circle is 23 yd.

I need this answered please

Answers

Answer:

37

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets put the values in now :)

35^2 + 12^2 = c^2

1225 + 144 = c^2

1369 = c^2

Now we need to find the square root!

[tex]\sqrt{1369}[/tex] = 37

Have a great day!!

Please rate and mark brainliest!!

Hey Buddy !

Question : -

For the following right triangle , find the side length x .

Given : -

Perpendicular = 12

Base = 35

Hypotenuse = x

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .

Pythagoras Theorem : -

According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .

[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

H = Hypotenuse

P = Perpendicular

B = Base

From Here Solution Starts : -

Substituting the values in formula :

x² = 12² + 35²

x² = 144 + 1225

x² = 1369

x = √1369

x = 37

[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]

#[tex] \rm{ \bold{Keep \: Learning}}[/tex]

Does the point (1, -1) lie on the line (-10x + 5y = -8)? Explain why/why not.​

Answers

hello!

In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.

In this case, the x-coordinate is:-

[tex]\mathrm{1}[/tex]

and the y-coordinate is:-

[tex]\mathrm{-1}[/tex]

Plug in the values:-

[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]

[tex]\mathbf{-10-5=-8}[/tex]

[tex]\mathbf{-15=-8}[/tex]

Huh?!

As you can see, we ended up with a false statement.

Hence, the answer is:-

[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Step-by-step explanation:

Generaly , a point A(x₀ , y₀)  lies on the line of equation ax + by = c

If its coordinates verify the equation which means

When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c

Then

just replace x by 1 and y by -1 in the equation: -10x + 5y = -8

We get , -10(1) + 5(-1) = -10 - 5 = -15

Since -15 ≠ -8 then (1 , -1) don’t verify the equation

Hence ,  the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Other Questions
What is protein? Name one source of protein. X-5y= -3 3x-5y=11please show work Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5). please help me.. no links pls A firework is fired from the ground straight up on a planet with an acceleration due to gravity of 6.82 m/s/s. The firework will not explode until the moment where it would have started to move back down again. The initial speed of the firework is 69.5 m/s. Use this information to find the height at which the firework explodes and the time it will be traveling upward. can you help me for math? Statistic and Probability ! what is P(2) + P(3)? In a response about my book, when I have to AVOID Plot Summary, can I still use things that happened in the story, and write about it in my response. As I DON'T want to use plot summary so how? What part of the nucleotide connects inthe middle of the molecule and makes upthe "steps" of the ladder? The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width? Use the scale factor 1:8 to find the missing dimension.Item = baby giraffemodel = height = cmactual = height = 1.84m What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?Enter your answer in the box. Express your answer using . I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work. Round 3.993 to the nearest hundredthA. 3.90B. 4C. 3.9D. 3.99 witch is the first step you can take to meet your personal health goals what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number? Why should we be concerned with the water issues in far away places? How did the North and the South differ economically during theCivil War? discuss the information justify with two examples In Louisiana, judges areTo be eligible, a judge must have lived in his or her district for atleastJustices who serve in the state supreme court are chosen according toEachjustice serves for a The perimeter of the surface of a workbook is 46 inches. It is 13 inches tall. How wide is it? First constitution of the U.S