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

Answers

Answer 1

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;

[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]

[tex]\overline x[/tex] = 1.5

S.D. = 1.8

n = 1000

Assume μ = 1, we get;

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

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


Related Questions

please help this is due today

Answers

Answer:

A and D

Step-by-step explanation:

A) x = 3

B) x = 0

C) x = ⅓

D = x = 3

Answer:

A and D

Step-by-step explanation:

I WILL GIVE BRAINLIEST
And more points please answer

Answers

Answer:

Step-by-step explanation:

Answer: Linda's 1/2 .  Phil's $0.50

Step-by-step explanation: the rate is the slop which is rise/run if that makes sense

Select the correct answer from each drop-down menu.
A cylinder has a diameter of 10 units.
Its radius is
units. If its height is twice its radius, its height is
units. Its volume is about
cubic units

Answers

Radius = 5 units
Height = 10 units
Volume = 785.4 units

Answer:

1st blank: 5

2nd blank: 10

3rd blank: 785

Step-by-step explanation:

the radius of a circle or the base/top of a cylinder is measured from the center to the side of the face, where as the diameter is measured from side to side through the middle, so the diameter will always be twice the radius of the same circle, meaning if the diameter is 10 units, then the radius will be half that, 5 units, then all we do is double the radius like the question says to get the height (NOTE this is NOT part of any formula for finding any dimensions for any shape and is specific to this question) then all we do to find the volume is use the formula below

V = (pi) (r^2) h

plug the radius or 'r' in as well as height or 'h' in the equation and solve

PLEASE NOTE: the question is asking for an APROXAMATE so your answer should be close to one of the drop down options by about >1 integer, but will not be exact

Solve the system of equations. y = 7x - 53 y = -4x + 35 a. ( -3, -8) c. ( -8, 3) b. ( 8, 3) d. No solution Please select the best answer from the choices provided A B C D

Answers

Answer:

b. (8, 3)

Step-by-step explanation:

[Linear System with Two Variables]

Given that:

y = 7x - 53y = -4x + 35

(i) Find the value of x

Substitute the value of y in -4x + 35 with 7x - 53

Therefore we get

7x - 53 = -4x + 35

-4x to the left side of "=" = + 4x

-53 to the right side of "=" = + 53

we get:

7x + 4x = 53 + 35

11x = 88

x = 8 ✅

(ii) Find the value of y

y = 7x - 53

put x = 8 after the coefficient = 7

y = 7·8 - 53

y = 56 - 53

y = 3 ✅

The value of (x, y) =

(8, 3) ✅

Option B

__________________

#StayPositive - kexcvi

From Indonesia

the answer would be c.
(8,3)

y=7x-53

(3)=7(8)-53
3=56-53
3=3

y=-4x+34

(3)=-4(8)+35
3=-32+35
3=3

The table shows the cost of hiring a concrete mixer for up to 5 days.
1
2
Number of days
3
4
5
19
45
Cost in £
32
58 71
The cost of hiring the concrete mixer is made up
of a fixed charge and a daily charge.
(1)
(i) How much is the daily charge? £
(1)
(ii) How much is the fixed charge? £
Tota​

Answers

Answer:

i. daily charge = £13

ii. fixed charge = £6

Step-by-step explanation:

Number of days (x) | Cost in £ (y)

1 | 19

2 | 32

3 | 45

4 | 58

5 | 71

Using the given table, we can represent this situation with an equation in slope-intercept form, y = mx + b, where,

m = slope = daily charge

b = y-intercept = fixed charge

✔️Thus, using the coordinates of any two given pairs, say (1, 19) and (2, 32):

Slope (m) = ∆y/∆x = (32 - 19)/(2 - 1) = 13/1

Slope (m) = 13

Therefore daily charge = £13

✔️To find y-intercept (b), substitute (x, y) = (1, 19) and m = 13 into y = mx + b.

Thus:

19 = (13)(1) + b

19 = 13 + b

b = 19 - 13

b = 6

Therefore, fixed charge = £6

✔️Substitute m = 13 and b = 6 into y = mx + b to represent the function given for the situation:

y = 13x + 6

PLEASE PLEASE HELP!! A ferris wheel with a radius of 38 feet rotates at a rate of 8 revolutions per minute. The height above the ground of the carriage labeled C below is a function of time, t, in minutes

Answers

Is this the whole question

someone please help me answer this!!

Answers

Answer:

0.55x10= 5.50

Step-by-step explanation:

Select all the statements that are true

Answers

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of [tex]\frac{3}{2}[/tex] centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = [tex]\sqrt{(0+4)^2+(6+4)^2}[/tex]

                                              = 10.77

Distance between M' and N' = [tex]\sqrt{(0+6)^2+(6+6)^2}[/tex]

                                                = 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

Plz help me! Plz it’s due today,!

Answers

Answer: I think it is D

Step-by-step explanation:

in volume you multiply all the numbers(LxWxH)

hope this helps

It’s the last answer, 9(8)(1) = 72 cm^3

HELP PLEASE BRAINLYIST
Examine the diagram. It is not drawn to scale.
Wh at is the m angle 3?
Х
m angle 3=

Answers

Answer:

isn't it just 50°

Step-by-step explanation:

180=a straight line.

you are given 75° and 55°

75+55=130

180-130

Answer:

105

Step-by-step explanation:

Chupapi

Some loser deleted my answers

That's why it says 1 answer and 1.5k people helped

Round 8 5/9 to the nearest whole number. 9 10 7 8

Answers

Answer:

The answer would be 9,

Step-by-step explanation:

because it is closer to 9 than 8.

If Tyesha only wants to eat 115 calories of the Italian Ice, how many ounces is she allowed to eat?

Answers

Answer:

Answered!!

Step-by-step explanation:

If Tyesha only wants to eat 115 calories of the Italian Ice, how many ounces is she allowed to eat? In this case she is only allowed to eat 10 ounces

What is the cross section of a triangular prism

Answers

Answer:

Step-by-step explanation:

If the cut is parallel to the triangular face, the cut is a triangle. If it is parallel to the height, then it is a rectangle.

algebra 2

Can you help me pls

Answers

Answer:

ln25 = 3.219

ln50 = 3.912

ln22.3 = 3.105

lne^3 = 3lne = 3

ln0.45 = -0.799

Step-by-step explanation:

Calculator

Please help me quick​

Answers

Answer: 20 inches

Step-by-step explanation:

using pythagorean theorem according to which  hypotebous ^2=altitude ^2+base^2

c^2=a^2+b^2

c^=(12)^2+(16)^2

c^2=144+256

c^2=400

c=20

Need some help with geometry not very good at it.


Can I have some help please?

Answers

Answer:

your answer will be A. 12/24

Step-by-step explanation:

XZ=12+12=24

COSX=12/24

hope this helps you...

20 POINTS!!!! PLEASE HELP ME!!!!!!

Please do not tell me the answer tell me how to do it with showing my work

Answers

Answer:

Step-by-step explanation:

a)

2.64÷3.3  ( said  2.64 divided by 3.3)

3.3√2.64  ( yes I know it's not the division sign but it's as close as we can get)

2.64 / 3.3

All three representations  are the same. each say  divide 2.64 by 3.3. If you're thinking that last one looks more like a fraction, you're right, but.. that's also what that means.   I'm showing these different ways to express the idea of division b/c it's part of what is involved with showing the work and understanding it.

so, to do the above let's move the decimal point to the right .. and do we want to move it one or two places.  :?  one because of 3.3 or two , because of 2.64, well we want to move it so we don't have to think about it in the problem... so move it the biggest amount that you need to, get the the decimil out of both numbers.. since the 2.64 needs two moves to the right of the decimal... use 100 times  to move it 2 places, If you needed 3 then use 1000, 4 , 10,000 ect ect... see the pattern?

so

100(3.3 √ 2.64 )

move the decimal point in both 2 places right

330.0 √ 264.0

I put the extra zeros in, just so you can see the decimal easy.  The zeros to the right of the decimal make no difference here.

now I'll know to put the number that I use to divde with above the zero,  of 264.0  .. and i'll think about how many times 3 goes into 26 ,without going over.  3*8 = 24 so I want an 8

    ↓ ←   ←  ← 0.8

330.0 √ 264.0      ( multiply  8 * 330 = 2640 )

    ↓ →   -264 .0      ( subtract 2640 from the number above )

                       0

you are done with that one, since there is zero left over and   0.8 is the answer

b)

0.324 ÷ 0.27

0.27 √ 0.324

0324 / 0.27

1000( 0.27 √ 0.324)

270 √ 324.0

  ↓  ←  ←  1.2

270 √ 324.0

 ↓→   - 270   ( multiply by the 1 )

 ↓    =      54

 ↓→       - 540  (multiply by the 2 )

                  0

since there is zero left over you are done. The answer is  1.2

C)

0.32 ÷ 0.16

0.16 √ 0.32

100(0.32 / 0.16)

↓ ←   2

16 √32

↓→  -32  ( multiply 16 * 2 = 32 )

         0

zero left over you are done.  the answer is 2 :)

d)

16.92 ÷ 9.4

9.4 √ 16.92

100(16.92 / 9.4)

  ↓   ←  ←  1.8

940 √1692.0

 ↓→→ - 940       (multiply by 1 )

 ↓        7520

 ↓→  -  7520      (multiply by 8 )

                 0

since there is zero left you are done,  The answer is  1.8

that was a lot, really nobody has talked or told you how to do this before?  

where is your teacher?  :/  

This graph is the parent function of quadratic functions
True or false

Answers

true the graph is the parent function of quadratic functions

What is the value of a in the equation -1/4 a -5=5-2?

Answers

Answer:

-32

Step-by-step explanation:

-1/4a-5=5-2

add 5 to both sides to cancel the negative five on the left side.

-1/4a-5+5=5-2+5

-1/4a=8

multiply the equation by -4 to get the a just by itself

-4(-1/4)a=8(-4)

a=-32

Hope that helps :)

Which graph could represent a function f(x) = log(x + b) where b < 0?

Answers

Answer:

I think that the answer would be B .

Hope it helps . ♡

Can someone please help i would really appreciate it

Answers

Answer:

[0, -7, 1]

[0, 3, 4]

A group of volunteers has been collecting toys to deliver to a local charity. Over the last 3 days, the volunteers have collected 324 toys. What has been their collection rate, in toys per day?
A.
110 toys per day
B.
105 toys per day
C.
107 toys per day
D.
108 toys per day

Answers

Answer:

D 108

Step-by-step explanation:

324/3=108

Answer: 108 toys per day

Step-by-step explanation: 324/3

Aiden scored 27 goals in soccer. If he made 90% of his kicks, how many shots were taken?

Answers

Answer:

30

Step-by-step explanation:

What is the quadratic regression equation that fits these data?

Answers

Answer:

C

Step-by-step explanation:

The quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].

What is the quadratic regression equation?

A quadratic regression is the process of finding the equation of the parabola that best fits a set of data.

The quadratic regression equation that fits these data is;

[tex]\rm y=2.13x^2+0.13x+6.39[/tex]

Check for the values of x and y;

When the value of x = -4 the value of y is;

[tex]\rm y=2.13x^2+0.13x+6.39\\\\x=-4\\\\\rm y=2.13(-4)^2+0.13(-4)+6.39\\\\y=34.13-0.52+6.39\\\\y=40[/tex]

Hence, the quadratic regression equation that fits these data is [tex]\rm y=2.13x^2+0.13x+6.39[/tex].

Learn more about quadratic equation here;

https://brainly.com/question/17018837

#SPJ2

How are the acute angles of the right triangle below related? Please don’t answer me with a link

Answers

Answer:

An acute angle is an angle whose measure is less than 90∘. That is, in a pair of intersecting non-perpendicular lines, the smaller of the angles are acute. A right angle is an angle whose measure is equal to 90∘. That is the measure of the angles of perpendicular lines.

Step-by-step explanation:

For each value of u , determine whether it is a solution to 23=4u-1 .

Answers

Answer:

6

Step-by-step explanation:

Transposition

23+1=4u

24=4u

Divide both side by 4

u=6

Martina turns on a treadmill to start walking.
She takes 1 minute to gradually increase her speed and then walks at the same speed for 4 minutes. She increases her speed twice more during the 15 minutes she is on the treadmill, as shown on the graph below. Which best describes the function of Martina's walking speed over the interval (0, 15]?

Answers

Answer:

a peicewise function with seperate pieces of linear and step functions

Step-by-step explanation:

The statement that describes the function is: (a) a piecewise function with separate pieces of linear and step functions

From the attached graph, we have the following highlights

The graph has several linear functions.The graph has multiple step functions, as well.

This means that: the function is best described by the given graph is statement (a)

Read more about piecewise and step functions at:

https://brainly.com/question/13907972

Which statement best describes the point (2,-5)
A.5 units to the left and 2 units up from the origin
B. 5 units to the right and 2 units up from the origin
C. 2 units from the left and 5 units down from the origin
D. 2 units to the right and 5 units down from the origin
HELPPPPPP!!!!!!!

Answers

I believe your answer would be C. Hope this helped!

this dot plot is symmetric, and the data set has no extreme values

Answers

Answer:

Where is the plot?

Step-by-step explanation:

9. A space probe near Neptune communicates with Earth using bit strings. Suppose that in its transmissions it sends a 1 one-third of the time and a 0 two-thirds of the time. When a 0 is sent, the probability that it is received correctly is 0.9, and the probability that it is received incorrectly (as a 1) is 0.1. When a 1 is sent, the probability that it is received correctly is 0.8, and the probability that it is received incorrectly (as a 0) is 0.2. (a) Find the probability that a 0 is received. (b) Use Bayes theorem to find the probability that a 0 was transmitted, given that a 0 was received.

Answers

Answer:

a) 0.6667 = 66.67% probability that a 0 is received.

b) 0.9 = 90% probability that a 0 was transmitted, given that a 0 was received.

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

(a) Find the probability that a 0 is received.

0.9 of 2/3(0 received when a 0 is sent).

0.2 of 1/3(0 received when a 1 is sent). So

[tex]p = \frac{0.9*2}{3} + \frac{0.2*1}{3} = 0.6667[/tex]

0.6667 = 66.67% probability that a 0 is received.

(b) Use Bayes theorem to find the probability that a 0 was transmitted, given that a 0 was received.

Event A: 0 received

Event B: 0 transmitted.

0.6667 = 66.67% probability that a 0 is received, which means that [tex]P(A) = 0.6667[/tex]

A zero is transmitted two-thirds of time, which means that [tex]P(B) = 0.6667[/tex]

When a 0 is sent, the probability that it is received correctly is 0.9, which means that [tex]P(B|A) = 0.9[/tex]

So

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.6667*0.9}{0.6667} = 0.9[/tex]

0.9 = 90% probability that a 0 was transmitted, given that a 0 was received.

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