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
DedPeter [7]
3 years ago
10

A statistics practitioner determined that the mean and standard deviation of a data set were 120 and 30, is respectively. What c

an you say about the proportions of observations that lie between each of the follow- ing intervals?
a. 90 and 150
b. 60 and 180
c. 30 and 210
Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

a) 68% of the observations lie between 90 and 150.

b) 95% of the observations lie between 60 and 180.

c) 99.7% of the observations lie between 30 and 210.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Standard deviation = 120

Mean = 30

a. 90 and 150

This is within 1 standard deviation of the mean.

By the Empirical Rule, 68% of the observations lie between 90 and 150.

b. 60 and 180

This is within 2 standard deviations of the mean.

By the Empirical Rule, 95% of the observations lie between 60 and 180.

c. 30 and 210

This is within 3 standard deviations of the mean.

By the Empirical Rule, 99.7% of the observations lie between 30 and 210.

You might be interested in
From an 8- foot board, a carpenter sawed off one piece that was 2 3/4 feet long and another piece that was 3 1/2 feet long. How
alexdok [17]

Answer:

1 3/4 or 1.75

Step-by-step explanation:

An easy way to do this is to convert to decimals

1/4 = 0.25

2/4 = 0.5

3/4 = 0.75

Now, for the numbers for this problem.

2 3/4 would be equal to 2.75

3 1/2 would be equal to 3.5

Add those two numbers together and you get 6.25

Subtract that from 8 and you get 1.75 or 1 3/4

3 0
3 years ago
Which expression has the same value as the one below?
marta [7]

Answer:

answer is B 38-18

Step-by-step explanation:

38 + (-18)

38-18

5 0
3 years ago
Read 2 more answers
Which expression is equal to 13 more than the quotient of n and 8
Juli2301 [7.4K]

Answer:

(n/8)+13

Step-by-step explanation:


6 0
3 years ago
HELP 20 POINTS!!! Does the infinite geometric series diverge or converge? Explain.
Nitella [24]

Answer:

c. it converges, it has a sum

8 0
3 years ago
Read 2 more answers
Which of the following expressions contain a coefficient of 4? Choose the TWO correct answers.
lara [203]

Answer:

C and D

Step-by-step explanation:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient.

3 0
2 years ago
Read 2 more answers
Other questions:
  • The manufacturer of an airport baggage scanning machine claims it can handle an average of530 bags per hour.(a-1) At α = .05 in
    13·1 answer
  • What is the value of x?
    6·2 answers
  • Is 20 hundredths equal to 2 thousandths
    6·1 answer
  • Frank and Lynn are co-workers getting paid the same salary. They both decide to quit their jobs and start going to school on the
    5·2 answers
  • Ally and Christian bought 4 pounds of mulch and 2 pounds of seed for the garden how many ounces of these products did they purch
    5·2 answers
  • Determine a and b so that figure ABCD is a parallelogram
    15·1 answer
  • the graph of a sine function is shown. select two points on the midline of the function that are separated by a distance of one
    15·1 answer
  • 3x -5y=2x + 10 standard form
    9·2 answers
  • Given the points below, are the two lines parallel, perpendicular, or neither.
    8·1 answer
  • Plz help 20 points <br> Given m(n)=2n^2-10n-14 find m(4)+m(-1)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!