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
vovikov84 [41]
3 years ago
14

Can you please Help!!! READ THE QUESTION CAREFULLY. Extra points and brainiest will be given.

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:

567.7434

Step-by-step explanation:

You might be interested in
Consider a parent population with mean 75 and a standard deviation 7. The population doesn’t appear to have extreme skewness or
Aleks04 [339]

Answer:

a) \bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)

b) Since the sample size is large enough n>30 and the original distribution for the random variable X  doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

c) P(\bar X \leq 77)=P(Z

d) See figure attached

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Let X the random variable of interest. We know from the problem that the distribution for the random variable X is given by:

E(X) = 75

sd(X) = 7

We take a sample of n=40 . That represent the sample size

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is also normal and is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\bar X \sim N(\mu=375, \sigma={\bar X}=\frac{7}{\sqrt{40}}=1.107)

Part b

Since the sample size is large enough n>30 and the original distribution for the random variable X  doesn’t appear to have extreme skewness or outliers, the distribution for the sample mean would be bell shaped and symmetrical.

Part c

In order to answer this question we can use the z score in order to find the probabilities, the formula given by:

z=\frac{\bar X- \mu}{\frac{\sigma}{\sqrt{n}}}

And we want to find this probability:

P(\bar X \leq 77)=P(Z

We can us the following excel code: "=NORM.DIST(1.807,0,1,TRUE)"

Part d

See the figure attached.

8 0
2 years ago
What is -9 to the second power
OLEGan [10]
-9 to the second power will most likely be 81. A negative x a negative equals a positive. Hope this helped.
4 0
3 years ago
Read 2 more answers
Bus one had half of the grade eight students and 6 grade, seven students, bus two had 15 grade seven students and one-third of g
Rzqust [24]
I'm not sure about that one
7 0
3 years ago
The lowest point in Asia is the Dead Sea, which is 396 meters below sea level. The lowest point in the USA is Death Valley, at 8
wlad13 [49]

Answer:

310 metres

Step-by-step explanation:

The lowest point in Asia is the Dead Sea, which is =396 meters below sea level.

The lowest point in the USA is Death Valley, a= 86 meters below sea level.

Therefore,

diference in their heights = 396-86 metres =310 metres

4 0
3 years ago
Read 2 more answers
Add the following complex numbers:
Fittoniya [83]

Answer:

option c

Step-by-step explanation:

(4 - 2i) + (12 + 7i)

multiply the brackets first

4 - 2i + 12 + 7i

combine like terms

16 + 5i

3 0
3 years ago
Read 2 more answers
Other questions:
  • How does a monthly budget worksheet help you?
    11·1 answer
  • Find n.<br><br> 35/49 = 5/n<br><br> n = (Blank)
    9·2 answers
  • Are the triangles below similar? How do you know? Select one: a. yes, by AA~ b. yes, by SSS~ c. no d. yes, by SAS~ Have a good d
    15·1 answer
  • What is one way to remember that one-fourth is the same as 0.25? Next, explain how 1/2 is the same as 0.5.
    7·1 answer
  • 30 POINTS<br> 5x-3y=-1 2x+3y=8<br> Solve with elimination!<br> Show your work!
    14·1 answer
  • Find the area of the trapezium​
    10·2 answers
  • There are 420 students at Virginia Middle School. The ratio of girls to boys is 4 to 3. HELPPPPPPPP
    10·1 answer
  • Please Hurry!!!!
    11·1 answer
  • Which expression is equivalent to 8f+5f?
    8·1 answer
  • 6, 2, 8, 4, 9<br> How would the median change if the 6 was replaced by a 3?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!