A company claims they produce their mixed bag of candies so that, of the candies in the bag, 20 percent are dark chocolate, 60 percent are milk chocolate, and 20 percent are white chocolate. In a random sample of candies of size 50, the counts are as follows: 6 dark, 32 milk, and 12 white. Assuming the conditions for inference are met, what is the test statistic for a chi-square goodness-of-fit test to investigate whether the distribution of the sample is consistent with the company’s claim?

Answers

Answer 1

Answer: D: x^2=(6-10)^2/10 + (32-30)^2/30 + (12-10)^2/10

Step-by-step explanation: The formula for the chi-squared test is summation: (observed-expected)^2/expected. The observed value in this case would be the counts we received from the random sample (6 dark, 32 milk, 12 white). The expected value can be calculated by taking the percentages given in the problem and multiplying them by 50 (0.20x50=10 dark , 0.60x50=30 milk , 0.20x50=10 white).


Related Questions

What are five steps for solving percentage problems?

Answers

Answer:

Find the percentage of the original or real number.

Multiply the final number by 100.

Divide the result of the multiplication by the percentage.

Have a great day

The proportion of the original or true number is then added 100 to the final figure.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose it is required to find the x percentage of y:

First step:

= x% of y

Second step:

= (x/100)y

Third step: Divide x by 100

= 0.01xy

Fourth step: Multiply the remaining term(0.01x and y).

= 0.01xy

The fifth step: Round off if required

= 0.01xy %

Calculate the proportion of the original or true number.

Add 100 to the final figure.

Subtract the percentage from the multiplication result.

Thus, the proportion of the original or true number is then added 100 to the final figure.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

20 points!!! Find the volume of these figures

Answers

Answer:

Its only 10 points

Step-by-step explanation:

Answer:

Step-by-step explanation:

9)

it's a right triangle, you should know how to find the area for this one :/   I'll give you the formula ,  you can push the buttons on a calculator ?  right? Okay to be fair, I see that there is one extra step, so i'll do that part for you.  

Ф=arcSin(8.5/15.7)

Ф = 32.77908067°

15.7*Cos(32.77908067°) = base

13.2 =base

⇒ use this formula ⇒ (1/2)*base*height*depth

just in case  base = 13.2

height = 8.5

depth = 6.2

you got it ?  right?

10)

we have to solve for the "adjacent side"  of the triangle, which will also be the diameter of the cylinder  , so

sin(Ф) = 9.5/19.3

Ф= arcSin(9.5/19.3)

Ф= 29.48712567°

19.3*cos(29.48712567°) = Adjacent

16.8 =Adjacent ( diameter of circle)

16.8/2 = radius

8.4 = radius

area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

area of circle = 221.6707776 [tex]m^{2}[/tex]

volume of a cylinder = area of circle * height

volume of a cylinder = 221.6707776 * 9.5

volume of a cylinder = 2105.872388 [tex]m^{3}[/tex]

11)

we need the formula for an equilateral triangle area

Equilateral Triangle Area = [tex]\sqrt{3}[/tex]/4)* [tex]a^{2}[/tex]

ETA = ([tex]\sqrt{3}[/tex]/4)*[tex]12^{2}[/tex]

ETA = 62.35382907 [tex]mm^{2}[/tex]

Volume Of Prism = length * area

VOP = 17 * 62.35382907

VOP = 1060.015094 [tex]mm^{3}[/tex]

Convert the following radian measure to degrees.
0.9102

Answers

52.151°

0.9102rad × 180/π = 52.151°

Enter the value of p so that the expression 4(n + 8) is equivalent to (n + p)4.m

Answers

Answer:

8 is the value of p

Answer:

n=0 p=8

Step-by-step explanation:

What is 27 divide by eight

Answers

Answer

      = 3. 3 75

Step-by-step explanation:

 27 / 3 = 3.375

Your answer is 3.375!
Hope this helps :)
Brainliest plzz

12 6x/3=5-9/2

i need help

Answers

The correct answer is 12

Answer:

x=1/4

Step-by-step explanation:

x=0.25

Can someone plz help me on this I’m bad at doing these plz I bed u I beg u plz

Answers

Answer:

I'm sorry me dont know kfnkdks

Answer:

A

Step-by-step explanation:

Area of the rectangle

A = base x width = 8 x 6 = 48 cm^2

Area of the triangle

A = (base x height)/2 = (6 x 4)/2 = 12 cm^2

two semicircles are equal to a circle

radius = diameter / 2 = 3/2 = 1.5 cm

A = radius^2 x pi = 1.5^2 x pi = 7 cm^2  (round to the nearest whole number)

total area

48 + 12 + 7 = 67 cm^2

What is the measure of angle R?

Answers

A

180 - S = R
180 - 65 = 115
A I’m pretty sure, if s was 65 and it being an acute angle like that then the bigger space (r) would be more the 65. But not a huge amount like b.

What is the lenghth of a baseball cap 30 kilometers or 30 meters or 30 millimeters or 30 centimeters

Answers

Answer:

30 centimeters

Step-by-step explanation:

1. 30 kilometers is way too large for a baseball cap to be measured in. Kilometers are usually used to measure distances between cities.

2. 30 meters is also too large for a baseball cap to be measured in. 30 meters are about 15 basketball players stacked on top of one another.

3. Last and remaining choice is 30 cm. 30 cm is about the same length as a 12 inch ruler.

What is the interquartile range (IQR) of the data set represented by this box plot?

Answers

Answer:

The IQR (interquartile range) of the data set represented by this box plot is 22 units.

Step-by-step explanation:

Each number of the data set represented as a box plot is something the numbers have individually. The lowest number there (the first number), 38, is called the minimum. The highest number there (the last number), 75, is called the maximum. The second number there, 45, is called the lower quartile. The third number there, 50, is called the median or middle quartile. The fourth number there, 67, is called the higher quartile. In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.

67 (highest quartile) - 45 (lower quartile) = 22 (interquartile range)

Therefore, the IQR (interquartile range) of the data set represented by this box plot is 22 units.

Answer:

It’s 22

Step-by-step explanation:

Which of the x-values are solutions to the following inequality?
x <100
Choose all answers that apply:

Answers

Answer:

x=54

x=89

Step-by-step explanation:

I think it is the answer

Use the rectangle to answer the question.
12 millimeters
9 millimeters
What is the area of the rectangle?
O A 21 square millimeters
OB. 42 square millimeters
O c. 81 square millimeters
OD. 108 square millimeters
ОЕ.
144 square millimeters

Answers

Answer:

12 x 9 = 108

Step-by-step explanation:

Just multiply the 2 given lengths when finding AREA of a rectangle.

Answer:

D.108

Step-by-step explanation:

Sue went to the grocery store. A package of hamburgers contains 6 hamburgers. A pack of hamburger buns contains 8 buns. What is the
least number of packs of buns Sue needs to buy to have the same number of hamburgers and buns?

Answers

Answer: 1 if 1 bun is the top and bottom

Step-by-step explanation:

Need to answer questions

Answer:

The least common multiple of 8 and 6

burgers: 6, 12, 18, 24  

buns: 8, 16, 24

Step-by-step explanation:

6×8=24

12×2=24

So that is how you get the answer by seeing if they have any integers in common.

The equation y = 450x represents the number of miles alrplane traveled y ot x hours. The graph below shows the number miles a 5hour flight , after 2 hours which airplane had traveled the farther and by how much ? I need help

Answers

Answer:

y = 200x.....the airplane travels 8000 miles in 40 hrs

Step-by-step explanation:

Answer:

Airplane W by 100 miles

Step-by-step explanation:

Airplane Z

y = 450x

Distance travelled after 2 hours

y = 450(2)

y = 900 miles

------------------------

Airplane W

Distance travelled after 2 hours

Reading from the graph

1000 miles

----------------------

after 2 hours which airplane had traveled the farther

Airplane W

and by how much

1000 - 900 = 100

PLEASE NO WRONG ANSWER
What are the coordinates of the midpoint of diagonal LN?​

Answers

Answer:

4. (-2 1/2, 4 1/2)

Step-by-step explanation:

Midpoint Formula is (x1+x2)/2, (y1+y2)/2

So (-6+1)/2 , (1+8)/2 = (5)/2, (9)/2 = (2.5,4.5)

And that in fraction form is (-2 1/2, 4 1/2)

At 11:00 AM. the temperature was 37 °F. At 11:00 PM the temperature was -6 °F.
What was the change in temperature between 11:00 AM and 11:00 PM?

Answers

The temperature changed by 43 degrees
The change in temperature between 11:00 AM and 11:00 PM was 44 degrees.

Find the circumference of the object. Use 3.14 or 22/7 for pi . Round to the nearest hundredth if necessary. 6in

Answers

Answer:

37.7

Step-by-step explanation:

Circumference=

[tex]2\pi \times r[/tex]

im running out of things to say

Answers

Answer:

i think its b

Step-by-step explanation:

What is the value of x in the figure below?

Answers

Answer:

x = 125°

Step-by-step explanation:

180° - 55° = 125°

125°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

find the surface area please help

Answers

Answer:

the answer is 30

Step-by-step explanation:

hight x base²

Answer:

AS =282.7cm²

Step-by-step explanation:

SA = 3.14×r×L +3.14×r²

L²=5²+12²

L=13)

= 3.14×5×13 + 13.4x5²

AS=282.7cm²

ls 2.1 bigger or 2.9?

Answers

Answer:

2.9

Step-by-step explanation:

The answer is 2.9

Step by step:

On a standardized exam, the scores are normally distributed with a mean of 250 and
a standard deviation of 50. Find the 2-score of a person who scored 375 on the exam.

Answers

Answer:

the z-score is within 3

Step-by-step explanation:

first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be

250+50=300+50=350+50=40

so the z-score for the value of 375 is within 3      

Answer: 2

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

z-score formula

z=\frac{300-250}{25}

z=

25

300−250

Plug in values

z=\frac{50}{25}

z=

25

50

Subtract

z=2

z=2

Divide

\text{They scored 2 standard deviations above the mean.}

They scored 2 standard deviations above the mean.

The Martins want to buy a new computer. The regular price is $849. The store is offering a 20% discount. What
is the total cost of the computer?

Answers

Answer:

679.20

Step-by-step explanation:

i used math plz mark branliest

The answer is 679.20

Math question:
I'm not good at math so pls help me

Answers

Answer:

c

Step-by-step explanation:

Answer: D: 1/14

Step-by-step explanation:

1/7 chance of picking orange marble, times 1/2 chance of flipping tails.

1/7 X 1/2 = 1/14

600 students were going on a field trip.
Lunches had to be prepared for them.
Altogether what was the TOTAL number of food and drink items used if each student received:
3 juices
2 pieces of fruit
2 burritos
2 bags of Doritos
1 milk

Answers

Answer:

6,000 total items

Step-by-step explanation:

3*600=1800   (total juice)

2*600=1200   (total fruit)

2*600=1200   (total burritos)

2*600=1200   (total doritos)

1*600=600     (total milk)

1800+1200+1200+1200+600=6000

Select all the words which accurately describe the triangle below

Answers

Answer:

Acute-Angle

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

how many millimeters equal 1942 cm^3

Answers

Answer:

multiply the volume value by 1000

Step-by-step explanation:

¯\_(ツ)_/¯ᵐᵃʸᵇᵉe

Answer:

1942 cubic centimeter

1942000 cubic millimeter

The president of a computer company must decide whether to place the company's new laptop on the market now or wait another year and continue with product testing.


The company's employees inform the president that if he releases the laptop now and no competitive devices enter the market, there will be a profit of $120,409.00; however, if he releases the laptop now and a competitive device enters the market, there will only be a small profit of $29,698.00. The company's employees also inform the president that if he waits another year and no competitive device enters the market, there will be a profit of $84,742.00; however, if he waits another year and a competitive device enters the market, there will be a loss of $59,396.00.


Suppose the company determines that there is a 22% chance that a competitive device will enter the market. What should the president do to maximize the expected profit over the next year?

Answers

Answer:

The president should release the new laptop now

Step-by-step explanation:

The profit if the new laptop is released now and no competitive device enters the market = $120,409.00

The profit if the new laptop is released now and a competitive device enters the market = $29,698

The profit if the new laptop is released in a years time and no competitive device enters the market = $84,742.00

The loss if the new laptop is released in a years time and a competitive device enters the market = $59,396.00

The chance that a competitive device will enter the market = 22%

∴ The chance that a competitive device will not enter the market = 1 - 22% = 78%

The expected increase in profit the company can make, compared to next year, if the new laptop is released and no competitive device enters the market = ($120,409.00 - $84,742.00) × 78% = $27,820.26

The expected increase in profit the company can make, compared to next year, if the new laptop is released and a competitive device enters the market = ($29,698.00 - $59,396.00)×0.22 = ($6,533.56) loss

Therefore, to maximize the expected profit over the next year, the president should release the new laptop now to make an expected profit of $27,820.26 over the next year.

PLEASE HELP FAST! What is the distance between the two points located at (14, 27) and (14, −8)? this is in units.

Answers

Answer:

13

Step-by-step explanation:

13

Answer:

I think the answer is

Distance: 26 (if rounded up).

Step-by-step explanation:

d=(27−14)2+(−8−14)2−−−−−−−−−−−−−−−−−−−√

d=(13)2+(−22)2−−−−−−−−−−−−√

d=169+484−−−−−−−−√

d=6–√53

d=25.553865

PLEASE HELP!!! I WILL GIVE BRAINLIEST (NO LINKSSSS OR ELSE I WILL HUNT YOU DOWN)

Answers

It is the last one t<10
Plot the closed endpoint at 10 and it would go from 10 to anything less than that.
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