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
yan [13]
3 years ago
13

a) In a simple random sample of 1000 faculty taken among all universities in a country, the number of papers published by the in

dividual sampled faculty in the past year had a mean of 1.1 and an SD of 1.8. Does the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

Answer:

According to the Central Limit theorem, the distribution is roughly normal

Step-by-step explanation:

The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;

The size of the sample = 1,000 >> 30

As the sample size approaches infinity, we have;

z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}

\overline x = 1.5

S.D. = 1.8

n = 1000

Assume μ = 1, we get;

P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568

P(z > 1.7568) = 1 - 0.96080 = 0.0392

Therefore, it is very likely that the mean of the population is not larger than the sample mean

Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal

You might be interested in
HELP!GIVING BRAINLIEST!!
s344n2d4d5 [400]

Answer:

2x+4

Step-by-step explanation:

3 0
2 years ago
What has the greater density, a cube of water measuring by by and having a mass of or a block of plastic measuring 2cm by 3cm by
stepladder [879]
The greater density to measure by having a mass of 2cm or 3cm
7 0
3 years ago
What do u notice to this picture?
trasher [3.6K]

Answer:

The picture has a pattern. The pattern in this picture is that each time 4 corners are added. You can also look at this as it adds 4 each time or as the equation. Y=5+4x. Y being The amount of cubes in the equation

3 0
2 years ago
Write an equation, and solve. Round your answer to the nearest cent.
VashaNatasha [74]

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

= $16.16

Hence, the cost of 16 oz of granola should be $16.16.

3 0
3 years ago
Figure EFGHK as shown below is to be transformed to figure E′F′G′H′K′ using the rule
MAVERICK [17]

9514 1404 393

Answer:

  (a)  (4, 8)

Step-by-step explanation:

Apply the transformation rule to the coordinates of point H.

  (x, y) → (x +8, y +5)

  H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)

4 0
3 years ago
Other questions:
  • Find the number of terms of this polynomial. 5x^2 + 3x - 4 (2 point)<br> Number of terms:
    7·1 answer
  • Assume body weight and height are related by the formula W=2H+13, where W represents weight in pounds and H represents height in
    10·1 answer
  • What is a non integer between 0 and 1?
    14·1 answer
  • What is the area of a circle if radius is 13
    6·2 answers
  • Can someone help walk me through this? Any help would be greatly appreciated! ..... (a) Find an angle between 0 and 2π that is c
    5·1 answer
  • Hanna picks up strawberries. she can either choose getting 74$ per hour or 3 $ per basket. she says she can pick up 10 basket in
    14·1 answer
  • Anyways I’m so close! Sleep here I come lol
    7·1 answer
  • GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee
    9·1 answer
  • (+3 120-130'+ 24c +8
    10·1 answer
  • REASONING A drone that costs $129.50 is discounted 40%. The next month, the sale price is discounted an additional 60%. Is the d
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!