1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mel-nik [20]
3 years ago
8

Suppose we want to test the color distribution claim on the M&M’s website that a bag of plain M&M’s is made up of 10% bl

ue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown. We select a sample of 400 plain M&M’s and found the following: Color Blue Orange Green Red Yellow Brown Frequency 30 48 55 66 70 131
Is there evidence to doubt the color distribution claimed by the website? Use =0.05
Mathematics
1 answer:
Ugo [173]3 years ago
8 0

Answer:

Calculated χ² = 13.425

χ² (5,0.025) >14.45 and χ²(5,0.975) <1.24

The given data does not fall in the critical region so we accept H0 and conclude there is no evidence to doubt the color distribution claimed by the website.

Step-by-step explanation:

Color             Blue      Orange     Green    Red   Yellow    Brown

Frequency     30         48              55        66         70         131

Expected      40           40              40        80          80        120

H0:  The bag of plain M&Ms is made up of 10% blue, 10% orange, 10% green, 20% red, 20% yellow, and 30% brown

Ha: The color distribution is not equal to  the distribution stated in the null hypothesis.

Calculate chi square

χ² = (30-40)² /40 + (48-40)²/40 + (55-40)²/40 + (66-80)²/80 + (70-80)²/80 + (131-120)²/120

χ² = 2.5 + 1.6 + 5.625 + 2.45 + 1.25= 13.425

The critical region for χ²  for 5 degrees of freedom with ∝= 0.05 is

χ² (5,0.025) >14.45 and χ²(5,0.975) <1.24

The given data does not fall in the critical region so we accept H0 and conclude there is no evidence to doubt the color distribution claimed by the website.

You might be interested in
A supplier sells 214 2 1 4 pounds of mulch for every 113 1 1 3 pounds of gravel. The supplier sells 172 pounds of mulch and grav
Dennis_Churaev [7]

Answer:

2.25 + 1 1/3=3.5833333 combined number of pounds of mulch and gravel sold.

2.25/3.583333 X 172=108 pounds of mulch that the supplier sells

(1 1/3) / 3.583333 X 172=64 pounds of gravel that the supplier sells.

Step-by-step explanation:

Let 'x' = pounds of gravel        The ratio of mulch to gravel is given  2 1/4  /  1 1/3   Which equals  9/4  /  4/3     =   27/16

So the total gravel and much is equal to   x + 27/16x = 172  

Solving for 'x'

43/16 x = 172    

x = 172 (16/43) = 64 pounds of gravel  Mulch = 27/16x = 64 (27/16)= 108 pounds

3 0
3 years ago
max is making a rectangular garden that is 5 feet less than twice its width. If the perimeter of the garden is 80 feet, what wil
djverab [1.8K]
L=2w-5

2(l+w)=80
l+w=40
2w-5+w=40
3w=45
w=15 feet
l=25 feet. As a result, the width is 15 feet and length is 25 feet. Hope it help!
7 0
3 years ago
Read 2 more answers
Find the value of the variable. Round decimal answers to the nearest tenth. x =
Andrews [41]

Answer:

15

Step-by-step explanation:

The hypotenuse of a triangle is a² + b² = c².

12² + 9² = c²

144 + 81 = 225

√225 = 15

3 0
3 years ago
What is 6(-7+6i)(-4+2i)?
cricket20 [7]
6-2-1=185666iiiiy6663636
4 0
3 years ago
What is 1/100 of 605 feet
slamgirl [31]
1/100 of 605 is 6.05 because you divide 605 by 100
7 0
3 years ago
Other questions:
  • A team of astronauts is preparing a mission to the moon. The pull of gravity on the moon is different than on Earth. On the moon
    13·1 answer
  • Simplify each of the following powers of i. I^32
    11·2 answers
  • Answer this one if you can The cake store is having a 25%, percent off sale on all of its cakes.
    11·1 answer
  • Please identify the common angles and sides or if there are non. Explain all work please!
    10·2 answers
  • Find the lowest common multiple (LCM) of 30 and 42
    6·2 answers
  • 40 dogs every 5 hours how may per hour
    13·2 answers
  • Use the reciprocal property to solve for x : 3/540= 10/x
    13·1 answer
  • What happens if I find the sum of two even numbers
    15·2 answers
  • If you answer it right and show your work on a piece of paper, you get branliest
    15·2 answers
  • 1.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!