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
schepotkina [342]
3 years ago
14

Or a very large set of data the measured mean is found to be 288.6 with a standard deviation of 21.2. assuming the data to be no

rmally distributed, determine the range within which 75% of the data are expected to fall.
Mathematics
1 answer:
SashulF [63]3 years ago
8 0

The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.

Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.

So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ

That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)

Answer: 264.22 to 312.98


You might be interested in
Nikos sold muffins at his club's bake sale.he spent $28.50 on supplies. he sold his muffins for $0.75 each, and made a profit of
OLga [1]
Divide $0.75 by $36.75? Sorry if I'm wrong, mathematics isn't my best subject.
8 0
3 years ago
Use two numbers below to make a subtraction problem with regrouping.28,33,45,57,39,36
poizon [28]

Answer:

45 - 36 = 9

Step-by-step explanation:

Write 45 down first, move a ten from 40 to 5, subtract 15 - 6 then 30 - 30

4 0
3 years ago
50 students in 4 buses
Anna11 [10]
The answer is 54 because you add them
5 0
3 years ago
Read 2 more answers
What is the domain of
Vsevolod [243]
The domain of what??
8 0
3 years ago
Read 2 more answers
Use the formula for simple interest. A=(p)(r)(t) remember, a refers to the interest accrued. Calculate the total interest tom wo
Sergeu [11.5K]

Answer:

2,970$

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • What is the ordered pair rule?
    5·1 answer
  • a triangle has the following measurements : a=19 b=25 c=31 use the law of cosines to find the missing measurements
    10·1 answer
  • Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the int
    14·1 answer
  • 2y-2x=8<br><br> convert into y=mx+b format
    7·2 answers
  • What is the decimal form for ten and 54 hundredths
    7·1 answer
  • The total length of two ribbons is 13 M if one ribbon is 7 5/8 meters long what is the length of the other ribbon
    8·2 answers
  • If there are 13400 students at Rocky Valley College and 1/4
    5·1 answer
  • A cyclist travels 20 km from home to the park.
    5·1 answer
  • Wonder women 1984 sold two million more than quadruple the number of tickets that were sold for Disney Soul. Disney Raya sold te
    7·1 answer
  • What is parallel to 5x+2y=8
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!