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
wolverine [178]
3 years ago
14

Question help the average income in a certain region in 2013 was ​$62 comma 00062,000 per person per year. suppose the standard

deviation is ​$27 comma 00027,000 and the distribution is​ right-skewed. suppose we take a random sample of 100100 residents of the region.
a. is the sample size large enough to use the central limit theorem for​ means? explain.
b. what are the mean and standard error of the sampling​ distribution?
c. what is the probability that the sample mean will be more than ​$2 comma 7002,700 away from the population​ mean?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0
Part a
The sample size is large enough to use the central limit theorem because it is greater than 30.

Part b.
The mean of the sampling distribution is 62000.
The standard error is computed as
     SE=\frac{s}{\sqrt{n}}=\frac{27000}{\sqrt{100}}=2700

Part c.
Compute for the corresponding z-score of more than 2700 from the population mean. 
     z=\frac{2700}{2700}=1

Therefore,
     P\left(z\ \textgreater \ 1\right)=0.1587
     
You might be interested in
What is the nth term of 0 3 8 15 24 35 48
Natasha2012 [34]
So 3+5=8
8+7=15
15+9=24
24+11=35
35+13=48
therefore
0+3=3
so therefore the answer this is a difficult question but the answer is kind of like whatever you added to n in the last term add two to that and add to your number to get that

sorry 
4 0
3 years ago
I hit 20 subs! Can you guys help me out more by subbing to 999 splxsh on yt. Thanks!
charle [14.2K]

Answer:

Sure! I'll look you up!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The area of a square is 81 centimeters find the length of the length find the diagonal
EleoNora [17]

Length = √area  = √81 = 9

diagonal = √2 * side = √2*9 = 9√2

5 0
4 years ago
Show whether or not y=x+3 is tangential to the curve y^2=x​
wolverine [178]

The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.

y² = x

Take the derivative of both sides with respect to x, assuming y = y(x) :

2y dy/dx = 1

dy/dx = 1/(2y)

Solve for y when dy/dx = 1 :

1 = 1/(2y)

2y = 1

y = 1/2

When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.

This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :

x = y²   ⇒   y = y² + 3   ⇒   y² - y + 3 = 0

has no real solution for y.

3 0
3 years ago
Finding Distance in the Coordinate Plane!
Aleonysh [2.5K]
It is B. the differences are added together

7 0
4 years ago
Other questions:
  • Name the plane shape that has infinite numbers of lines of symmetry
    10·1 answer
  • Math help please 50 points
    6·2 answers
  • a butcher has 10 3/4 pounds of ground beef that will be priced at $3.40 per pound. He divides the meat into 8 equal packages. To
    9·1 answer
  • Find two numbers whose sum is 15 and whose product is as large as possible.
    6·1 answer
  • please help!!! 30 pts and brainiest answer Let f(x)=8x . Which function represents a transformation of f(x) by a vertical stretc
    15·2 answers
  • If a side of a square is 1/2 ft long what is the perimeter of the square
    12·1 answer
  • Because of the commutative property of multiplication, it is true that 3/4 x 4 = 4 x 3/4
    5·1 answer
  • The answer to the question obviously
    10·1 answer
  • Will give brainlyist if quick Which of the equations is graphed below?
    14·1 answer
  • Midpoint of (4,3) and (9,10)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!