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
ale4655 [162]
1 year ago
15

the brain volumes ​(​) of 50 brains vary from a low of to a high of . use the range rule of thumb to estimate the standard devia

tion s and compare the result to the exact standard deviation of ​, assuming the estimate is accurate if it is within 15
Mathematics
1 answer:
Sloan [31]1 year ago
5 0

The estimated standard deviation from the range rule is 145.5 cm3.As it is 29.8 cm3 smaller than the exact standard deviation, we consider that the estimation is not accurate enough.

Generally, brain volumes which are smaller than 921.1 cm3 can be considered significantly low and bigger than 1417.5 cm3 can be considered significantly high. Hence, brain volume of 1457.5 cm3 is bigger than the expected maximum, so it can be considered significantly high.

The calculation goes like this,

According to the range rule, the standard deviation and range, or the distance between the maximum and smallest value, are roughly inversely proportional:

s=R/4

If we have a sample of 50 brains volumes, and they range from 910 cm3 to 1492 cm3, we can estimate the standard deviation as:

s=max-min/4

s=1492-910/4=582/4=145.5

The exact standard deviation is 175.3 cm3.The difference is 175.3-145.5=29.8 cm3, so the estimation is not accurate enough.

The range rule of thumb states that we should anticipate a maximum value that is approximately two standard deviations above the mean and a lowest value that is approximately two standard deviations below the mean. The expected ranges are as follows given our mean volume of 1169.3 cm3 and standard deviation of 124.1 cm3:

Min= M-2s=1169.3-2*124.1=921.1

Max=M+2s=1169.3+2*124.1=1417.5

The brain capacity of 1457.5 cm3 can be regarded as significantly high because it is higher than the predicted maximum.

To know about standard deviation click here :

brainly.com/question/23907081

#SPJ4

You might be interested in
What is the value of x?
Mrrafil [7]

Answer:

3

Step-by-step explanation:

Triangles with the same shape but different size are proportional. Proportional means that their side lengths form equal ratios. To solve for x, set up a proportion.

The ratios we will create will be \frac{long}{short} =\frac{long}{short} where each long and short are corresponding sides from each triangle.

So write:

\frac{4}{x} =\frac{3}{2.25}

To solve, cross multiply numerator with denominator.

4(2.25) = 3(x)

9 = 3x

3 =x

5 0
3 years ago
PLEASE HELP ASAP WILL GIVE POINTS AND BRAINLIEST! TY BESTIES! Factor using GCF 20x^2+10x please show work
soldier1979 [14.2K]

Answer:

10x(2x+1)

Step-by-step explanation:

20x^2+10x

2*10*x*x + 10 *x

Factor out the common terms

10x(2x+1)

3 0
3 years ago
The perimeter of a rectangle is 42 cm. the pength is 3 cm more than the width, write an equation
Orlov [11]

Length: x+3

Width: x

(x+x+3)*2 = 42

(2x+3)*2 = 42

ANSWER: 4x+6 = 42

5 0
3 years ago
Triangle ABC is shown with line DE running horizontally through the center of the figure.
vichka [17]

Answer:

If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will be parallel to the original line. As the triangle is dilated, the line will move up. This is because the center of the triangle does not lie on DE.

3 0
3 years ago
Describe how you would compare 3.6 and the square root of 12
dlinn [17]

Step-by-step explanation:

3.6 >   \sqrt{12}  = 3.4

the answer to the question

4 0
3 years ago
Other questions:
  • A rectangle is twice as long as it is wide. if its length is increase by 4 cm and its width is decreased by 3 cm, the new rectan
    5·1 answer
  • The point of concurrency of the three medians of a triangle is called the ______ of the triangle.
    10·1 answer
  • a checheers board is 8 square long and 7 squares wide. The area of each square is 14 square centimeter. Estimate the perimeter o
    12·1 answer
  • Total pay before deductions is known as .<br><br> net pay <br><br> gross pay<br><br> total pay
    10·2 answers
  • How much is one quarter &amp; three pennies
    9·1 answer
  • OMG HELPP MEEE ITS DUE LIKE RN
    5·2 answers
  • The area of a rectangle is 2x^2-11x+15 square feet. The length of the rectangle
    8·1 answer
  • The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma
    15·1 answer
  • Which do not belong x-2=4,x-3=6,x-5=1 or x-6=0
    14·1 answer
  • Mary invests £12000 in a savings account.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!