A manufacturer wants to inspect the absorption capacity of a new sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of 10 sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. At a level of significance of 1%, would you claim that the new design is better than the old one?

Requried:
a. No because we don't reject the Null Hypothesis at Alpha = 0.01
b. Yes because we reject the Null hypothesis at Type 1 error = 1%
c. Yes because the cut-off is more than the sample mean
d. No because the cut-off is less than the sample mean

Answers

Answer 1

Answer:

c. Yes because the cut-off is more than the sample mean

Step-by-step explanation:

The null and alternate hypotheses are

H0 : u= 3.5 ounces  vs Ha: u > 3.5 ounces

The mean and standard deviation of the sample are calculated to be 3.76 and 0.24

The test statistics is

t= x`- u/s√n

= 3.76-3.5/0.24/√10

= 0.26/0.07589

=3.426

The critical region for z test is  z > ± 2.33

The critical region for t test is   t > ± 2.82 for 9 d.f

For both the tests( z and t)   the test statistic =3.426 lies  in the critical region.

Hence we reject H0 and accept the hypothesis that  the new design is better than the old one at a level of significance of 1%.

cut-off = mean + 3 times the standard deviation

          =  3.76 + 3* 0.24

 cut-off     =4.48

Yes, the cut off is more than the sample mean.

So choice c is the best option.


Related Questions

A. B,D,A,E,C
B. B,C,D,A,E
C. C,D,A,B,E
D. C,A,D,B,E​

Answers

9514 1404 393

Answer:

   C. C,D,A,B,E

Step-by-step explanation:

The first set of coordinates, (-3, 4) and (3, 4) are on the horizontal line y=4. The distance between them is the difference of their x-values: 3 -(-3) = 6. This is the third distance on the list, so 'A' will be 3rd in the sequence of matching.

Choices A and C have 'A' listed 3rd.

__

The second set of coordinates (-5, 3) and (-5, 11) are on the vertical line x=-5. The distance between them is the difference of their y-values: 11 -3 = 8. This is the 4th distance on the list, so 'B' will be 4th in the sequence of matching.

Choice C has 'B' listed 4th.

The appropriate sequence of matching is ...

  C, D, A, B, E

_____

Additional comment

In this problem, as in most multiple-choice problems, it isn't necessary to find the complete answer. It is only necessary to find enough of the answer to determine the correct choice among those offered. You do need to know enough about how to work the problem to be able to tell a correct choice from an incorrect one. Knowing the required relationships is useful; slogging through the arithmetic is often not necessary.

Answer:

C. C,D,A,B,E

Step-by-step explanation:

Which images are tessellations?


Image 1 and 4
Image 3 and 2
Image 1 only
Image 3 and 4

Answers

Image 3 and 4, because they fit perfectly

Option - D - Image 3and 4 is correct

We have the following images.

We have to classify which image is a tessellations.

What are tessellations?

tessellations is also called tiling which involves the covering up of rigid plane surface using the geometric shapes (tiles) ensuring that these shapes don't overlap and leave no gap.

In the image 3, we have a geometric shape called triangle which is used as a tile to cover the surface. These shapes don't overlap and leave no gap as they perfectly fit with one another. Similar is the case with image 4, where hexagonal tiles are used. Therefore, image 3 and 4 are tessellations. The images 1 and 2 does not have any predefined geometric shape and nothing can be said about their perfect fit. Hence these are not tessellations.

Hence, Option - D is correct.

To solve more questions on tessellations visit the link below -

https://brainly.com/question/12926513

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Find the measure of angle A

Pls help

Answers

Step-by-step explanation:

x+85+x+44+63=180(sum of angles of a triangle)

or,2x+192=180

or,2x=180-192

or,x=-12

Angle A=x+44

=-12+44

=32°

Give brainliest plse .

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEMS I would really appreciate it

Answers

Answer:

I would love to help but can you zoom in on the question I can't really read it

Step-by-step explanation:

What is the distances between (3, 10) and (3, -8)

Answers

Answer:

(0,-12)

Step-by-step explanation:

is this what your looking for? what form would you like me to answer this in?

Select the graph of y= sin x.

Answers

Because it contains the points (0, 0) and (pi/2, 1), the first graph is the graph of sin(x).

Which graph is the graph of sin(x)?

To identify the graph of sin(x), we need to remember some points of the sine function.

We know that sin(0) = 0, this means that this passes through the point (0, 0).

And we also know that sin(pi/2) = 1, then it also passes through the point (pi/2, 1).

With that in mind, the graph that passes through those two points is the first one, so that is the correct option.

If you want to learn more about the sine function:

https://brainly.com/question/9565966

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Answer:

A.

Step-by-step explanation:
Believe me! I got it right on the program!

please help explain this

Answers

Answer:

8

Step-by-step explanation:

So, the small red circles are the baskets.

Each 1 represents 1 basket.

We know that the two baskets on 4 wont be counted, as well as the two baskets on 4 1/2, since thats smaller than or equal to 4 1/2

We also know that the two baskets on 6 wont be counted either, since thats equal to 6.

So now lets count the baskets in between these values, which would be:

5 - 4 baskets

5 1/2 - 4 baskets

Lets add those up:

4+4

=

8

So your answer is 8!

Hope this helps! :)

Answer:

8

Step-by-step explanation:

Hello! I am just here to confirm that it is 8! The kind person before me is correct! Hope my confirmatiom helps you though! Have an amazing day and remember your worth it!

Bye! Hasta luego :)

If somebody keeps on trying to take something from you and u tell them to quit or youll punch them should u actually do it? first gets brainliest

Answers

Answer:

yes

Step-by-step explanation:

Please help me solve this question

Answers

Step-by-step explanation:

Wheres the question??

Have a great day

Hey May I Ask Whats The Rule Of This Number​

Answers

Answer:

add 4x1, then 4x2, then 4x4, then 4x8, etc

Step-by-step explanation:

what 8 × 3 to the 14th power multiplied by 136???
[tex]23x {5521}^{?} [/tex]

Answers

om de har har mahadev har har mahadev har har mahadev mahadev har har mahadev

5,203,870,272

Step-by-step explanation:

8×3^14×136

=(8)(4782969)(136)

=(38263752)(136)

=5,203,870,272

i think this is the answer

you're having a bbq this weekend, and you're in charge of hamburger meat. right now there is a sale where you can buy 5 pounds of meat for $10. At this rate how much meat could you buy for $30

Answers

Answer:

15 pounds

Step-by-step explanation:

we can set up a proportion:

5/10=x/30

solve for x:

5/10=x/30

10x=150

x=15

(or you could've done 5*3=15 since $30/$10=3)

Does anyone know this

Answers

Answer:

The scale factor is greater than 1

Step-by-step explanation:

How to find Surface Area & Volume of Cylinder???
please help......

Answers

Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

In ΔQRS, q = 6.8 inches, r = 1.9 inches and ∠S = 141° . Find the length of s, to the nearest 10th of an inch

Answers

c = 141   s =

150 inch

List the temperatures in order from hottest to
coldest. (6.2D)
( 6°F , 8°F, -10°F, 30F, 0°F, -13°F)

Answers

-13F, -10F, 0F, 6F, 8F, 30F

Fahrenheit increases from negative to 0, then to positive.

This is an isosceles trapezoid.
R.
s
75
X
Y У
T
U

Answers

Answer:

S=R

75+75=150

360-150=210

210/2=105

y=105

Answer:

y = 105°

Step-by-step explanation:

In an isosceles trapezoid.

Any lower base angle is supplementary to any upper base angle, that is

y = 180° - 75° = 105°

What is (+8) – (-3)?

Answers

the answer to the question is 11

The prism below is packed with no gaps between the cube that measure 1/4 ft. What is the volume, in cubic feet of the right rectangular prism?

Answers

Answer: 1/2

First you do 4/4 times 4/4. Which is equal to 1. Then, you multiply by 2/4 to get 1/2.

indicate the equation of the given line in standard form. the line that contains the point q(1,-2) and is parallel to rhe line whose equation is y-4=2/3(x-3)​

Answers

Since the lines are parallel they have the same slope 2/3. use point slope form to get,

y+2=2/3(x-1)

y+2=2/3x-2/3

y=2/3x-8/3

3y=2x-8

2x-3y=8

Please like, rate and give me Brianliest Please and Thank you!

What is the measure of arc AB

Answers

Answer:

AB should be 142

Step-by-step explanation:

the circle whole is 360 half is 180. Line segment BD is half so you need to subtract the 38 from 180 to get your answer of 142

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

i believe it is C. a histogram
(if it’s not then sorry)

Answer:

A

Step-by-step explanation:

It was the correct answer when I submitted my assignment. A histogram is best for continuous data thats why a bar graph is best.

I would appreciate it if someone could help answer this problem:)

Answers

Answer:

[tex]x=85^{\circ}[/tex]

Step-by-step explanation:

The sum of the interior angles of any polygon with five sides is equal to [tex](5-2)\cdot 180=3\cdot 180=540^{\circ}[/tex]. Therefore, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+95+115+130+x=540,\\455+x=540,\\x=\boxed{85^{\circ}}[/tex]

A 12-foot-long support board is attached to thecenterof a 16-foot-high vertical display board.What is the width (w) of the horizontal supportboard, rounded to the nearest foot?

Answers

Answer:

4 ....,..........................................

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design. Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit

Answers

Answer:

Dr. Gavin needs to recruit 200 participants.

Step-by-step explanation:

Dr. Gavin is conducting a 2 x 4 independent-groups factorial design.

This means that there will be 2*4 = 8 cells.

Assuming he wants 25 people in each cell, how many participants does Dr. Gavin need to recruit?

25 people in each cell, 8 cells. So

25*8 = 200

Dr. Gavin needs to recruit 200 participants.

What is the area of the polygon

Answers

1,159cm^2 that is the answer

Make r the subject of x= e + r/d

Answers

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

Maths ACSF
1.5 m
2500 mm
850
4.8m
whats the total length

Answers

Answer:

Step-by-step explanation:

1.5m

(2500mm)/(1000 mm/m) = 2.5m

(850mm)/(1000 mm/m) = 0.85m

4.8m

Add the number of meters:

1.5 + 2.5 + 0.85 + 4.8 = 9.65m

We have the given measurements 1.5 m, 2500 mm, 850, 4.8m. Therefore, the total length would be 9.65m.

How to convert a millimeter into a meter?

One meter is equal to 1000 millimeters. So, to convert one millimeter into a meter we have to divide by 1000.

We have the given measurements 1.5 m, 2500 mm, 850, 4.8m

To convert a millimeter into a meter

2500 mm

= (2500mm)/(1000 mm/m)

= 2.5m

850mm

(850mm)/(1000 mm/m)

= 0.85m

Add the number of meters:

= 1.5 + 2.5 + 0.85 + 4.8

= 9.65m

Therefore, the total length would be 9.65m.

Learn more about multiplications;

https://brainly.com/question/14059007

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ok this is my last question for right now lol

Answers

Answer:

The first option is correct!

Mrs. Tabachy is selecting 2 individuals to read their poems in the poetry slam. She is selecting from Jill, Tom, Peter, Chrissie, and Lisa by drawing names from a hat. What is the probability that Lisa and another girl are chosen to read? Write your answer as a fraction in the simplest form.

Answers

Answer:

n[total]=5

now

probability to Lisa and another girl are chosen to read=n[Lisa]/5×n[another girl]/4=1/5×1/5=1/25=0.04 is your answer

Step-by-step explanation:

Solution :

here ,

n= 5

then,

The probability that Lisa and another girl are chosen to read = n(Lisa)/5×n ( another girl ) /4

=1/5×1/5

=1/25

=0.04 answer

hope it is helpful to you ☺️

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