For each of the questions below, a histogram is described. Indicate in each case whether, in view of the Central Limit Theorem, you can be confident that the histogram would look like approximately a bell-shaped (normal) curve, and give a brief explanation why (one sentence is probably sufficient). There are no data for these questions, so you will not need to use the computer to answer these questions.

a. A police department records the number of 911 calls made each day of the year, and the 365 values are plotted in a histogram.
b. The day before an election, fifty different polling organizations each sample 500 people and record the percentage who say they will vote for the Democratic candidate. The 50 values are plotted in a histogram. The fifty polling organizations also record the average age of the 500 people in their sample, and the 50 averages are plotted in a histogram.
c. One hundred batteries are tested, and the lifetimes of the batteries are plotted in a histogram.
d. Two hundred students in a statistics class each flip a coin 50 times and record the number of heads. The numbers of heads are plotted in a histogram. Two hundred students in a statistics each roll a die 40 times and record the sum of the numbers they got on the 40 rolls. They make a histogram of the 200 sums.
e. One thousand randomly chosen people report their annual salaries, and these salaries are plotted in a histogram.

Answers

Answer 1

Solution :

a). This histogram is not a bell shaped.

    Here we cannot use the theorem of the central limit as the histogram is being plotted by using 365 samples data values of the one sample.

b). This histogram may be bell shaped approximately since the sample size is large.

   Here there are 50 sample each having a size of 500 and there is 50 sample proportions. The histogram shows sampling distribution of the sample proportion. Thus the central limit theorem can be used.

The histogram is approximately bell shaped as there is 50 samples of each having 500 size and an average of 50. Thus the central limit theorem can be used.

c). The histogram is not a bell shaped.

   In this case central limit theorem cannot be used as the histogram is plotted by using 100 sample data values of one sample.

d). The histogram is a bell shaped since the sample size is large.

   In this case 200 samples  of each having a size of 50 and a data values of 50. The histogram here shows a sampling distribution of the sample proportion. Thus the central limit theorem can be used.

In the second also the histogram is of bell shaped as the sample size is large.

There are 200 samples of each sample having a size of 40 and they have 40 data values , i.e. sum of rolls.

e). It is not a bell shaped.

  The histogram here is plotted using 100 sample data values having one sample. Therefore we cannot use the central limit theorem.


Related Questions

2log2(x + 15)_log2x=6​

Answers

Answer:

hope it helps u

hope this is what u want

9514 1404 393

Answer:

  x = 9 or 25

Step-by-step explanation:

Taking antilogs and solving the quadratic, you have ...

  [tex]\dfrac{(x+15)^2}{x}=2^6\\\\x^2 +30x +225 = 64x\qquad\text{multiply by x}\\\\x^2 -34x +225 = 0\qquad\text{subtract $64x$}\\\\(x -25)(x -9)=0\qquad\text{factor}\\\\\boxed{x=25\quad\text{or}\quad x=9} \qquad\text{values that make the factors 0}[/tex]

money is shared out between Paul and Helen in the ratio of 3:4 Helen receives £20. How much did Helen receive? ​

Answers

Answer:

Step-by-step explanation:

Paul receives 3x; Helen receives 4x.

4x = £20

x = £5

Paul receives £15

a bag of corn can feed 100 chickens for 12 days. how many chickens will be fed in 15 days

Answers

Answer:

80

Step-by-step explanation:

Multilply 100 by 12 then divide your answer by 15.

Lucy saved $50 by buying a chair that was on sale for 25% off the regular
price. What was the regular price of the chair?

Answers

Answer:

$200

Step-by-step explanation:

Represent the regular price of the chair by c.

Then 0.25c =$50, and c = $200.

The regular price, c, was $200.

Answer: $200

Step-by-step explanation: 25% = 1/4. 50 x 4 = 200

through: (4, -3), perp. to y=-2x + 1

A. Y=1/2x-1/2
B. Y=-1/2x-5
C. Y=1/2x-5
D. Y=-5x-1/2

PLEASE HURRY

Answers

Step-by-step explanation:

y = -2x + 1. => Slope = -2

Then the perpendicular line will have a slope of -1/(-2) = 0.5.

We have y = 0.5x + c.

When x = 4, y = -3.

=> (-3) = 0.5(4) + c, c = -5.

Hence the answer is y = 0.5x - 5. (C)

The cost to mail a package is $7 for the first 2 pounds and 30 cents for each additional ounce.

Which of the following functions represents the cost to mail a package if x is the number of ounces over 2 pounds?

ƒ(x ) = 7 + 0.3x
ƒ(x ) = 14 + 0.3x
ƒ(x ) = 0.3(x + 2)

Answers

Answer:

the first one

Step-by-step explanation:

The cost to mail a 2-lb package is $7.

The cost to mail a 2-lb, 1 oz package is $7+$0.30(1).

That to mail a 2-lb, 2 oz package is $7+$0.30(2) = $7.60.

Following this pattern, the general formula is f(x) = $7 + $0.30x, where x represents the number of ounces OVER 2 lb.

A number w minus 7.4 is no less than 11. Write this word sentence as an inequality.

Answers

Answer:

w - 7.4 ≥ 11

Step-by-step explanation:

If it's no less than, then it has has to be greater than or equal to

solve the equation to find x. 2 Area 285 cm 15 cm​

Answers

Answer:

I think your question is not complete..

can you write the question in a way which will determine in what way you want your answer..

i mean from what to find x..

Area is given as 285cm

what is 15 cm for?

from here where is x given to find?

A venue can sell 750 750 tickets per concert. For an upcoming concert, they have been selling 25 25 tickets a day. Write a linear function that represents the number of tickets remaining at a given time.

Answers

Answer:

y=25x+750

Step-by-step explanation:

You have 750 fifty per day which will be your b (y=mx+b)  and you will make 25 tickets per person which will be your m.

Answer:

y=750-25

Step-by-step explanation:

Bob Businessman offers credit at 20% interest per year. Can somebody help calculate the APR? I'm having trouble with the formula and get a different answer everytime

Answers

Answer:22.9

Step-by-step explanation:

Answer: 22.9

Step-by-step explanation: i checked it is correct

HELP PLS
ACCOUNTING
If the owner of a company withdrew $200 during a period, the closing entry
for the Owner, Withdrawals account would show a ___.

O A. $200 credit to Income Summary
O B. $200 debit to Owner, Withdrawals
C. $200 credit to Owner, Capital
O D. $200 debit to Owner, Capital

Answers

Answer:

O D. $200 debit to Owner, Capital

Step-by-step explanation:

The above is the right way which would appear on the statement of account of the company owner. This is because, the $200 was actually a money taken by the owner hence it being a debit from the account (given to the owner). For the fact that it is cash amount, it would be show capital.

Answer:

D)

Step-by-step explanation:

a pe xxx

All I need is the answer to part b and c

Answers

Answer: 24, c

Step-by-step explanation:

Looked it up

a movie poster is 10 in long and 22 inch tall what is th are of this poster

Answers

Answer:

220

Step-by-step explanation:

Area = length · width

Area = 22 · 10

Area = 220

Note:

Please mark as Brainliest! <3

Explain your answer !!
Have a nice day

Will give braisnlt

Answers

Answer:

The price of hot dog is $2.5 and that of a pretzel is $1.25.

Step-by-step explanation:

Let the cost of hotdogs be x and that of pretzels be x.

So,

4x+3y = 13.75 ...(1)

and

2x+5y = 11.25 ...(2)

Multiply equation (2) by 2.

4x+10y = 22.5 ...(3)

Subtract equation (1) from (3).

4x+10y-(4x+3y) = 22.5-13.75

4x+10y-4x-3y = 8.75

7y = 8.75

y = 1.25

Put the value of y in equation (1).

4x+3(1.25) = 13.75

4x+3.75 = 13.75

4x = 13.75-3.75

4x = 10

x = 2.5

So, the price of hot dog is $2.5 and that of a pretzel is $1.25.

does someone know this one please :)

Answers

6/11(5/6)+2/11(5)
=5/11+10/11
=15/11

Multiply. Write your answer as a fraction or as a whole or mixed number.

Pls help and explain

Answers

Answer:

6

Step-by-step explanation:

So you want to round both denomaters to what they can mutiply to so it will be 6 so the 4 1/2 will be 4 3/6 and the 2 2/3 will be 2 4/6. Then you multiply to get 6

11, 14, 17, ...
Find the 42nd term.

Answers

Answer:

Step-by-step explanation:

5

,

8

,

11

,

14

,

17

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

3

to the previous term in the sequence gives the next term. In other words,

a

n

=

a

1

+

d

(

n

1

)

.

Arithmetic Sequence:  

d

=

3

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

1

)

Substitute in the values of

a

1

=

5

and

d

=

3

.

a

n

=

5

+

(

3

)

(

n

1

)

Simplify each term.

Lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección

Answers

Answer:

l lugar geométrico de los puntos que equidistan a otros dos puntos fijos {\displaystyle A}A y {\displaystyle B}B es una recta o eje de simetría de dichos dos puntos. Si los dos puntos son los dos extremos de un segmento {\displaystyle {\overline {AB}}}\overline {AB}, dicha recta, o lugar geométrico, es llamada mediatriz y es la recta que interseca perpendicularmente a {\displaystyle {\overline {AB}}}\overline {AB} en su punto medio.

La bisectriz cumple la propiedad de que todos sus puntos equidistan a los lados de dicho ángulo, convirtiéndose la bisectriz en un caso particular del lugar geométrico que sigue a continuación.

El caso de equidistancia a dos rectas paralelas, obtenemos que la paralela media es el lugar geométrico de los puntos que las equidistan. Se observa que, bajo el punto de vista de que las rectas paralelas se cortan en el infinito -se elimina, pues, la noción de paralelismo-, pasa a ser un sinónimo de la bisectriz, donde el ángulo ha tomado valor nulo.

Secciones cónicas

Las secciones cónicas pueden ser descritas mediante sus lugares de geométria:

La circunferencia es el lugar geométrico de los puntos cuya distancia a un punto determinado, el centro, es un valor dado (el radio).

La elipse es el lugar geométrico de los puntos tales que la suma de su distancia a dos puntos fijos, los focos, es una constante equivalente a la longitud del eje mayor de la elipse.

La parábola es el lugar geométrico de los puntos cuya distancia a un foco equivale a su distancia a una recta llamada directriz.

La hipérbola es el lugar geométrico de los puntos tales que el valor absoluto de la diferencia entre sus distancias a dos puntos fijos, los focos, es igual a una constante (positiva), que equivale a la distancia entre los vértices.

Una recta es un lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección.

Descripción de un enunciado de un lugar geométrico dado

En este ejercicio debemos concluir que tipo de expresión se deriva del enunciado del lugar geométrico. Recuérdese que un lugar geométrico es un conjunto de puntos que satisfacen una característica dada.

Matemáticamente hablando, el lugar geométrico puede ser definido a partir de las definiciones de longitudes de segmento de recta:

[tex]AC = AB + BC[/tex] (1)

Puesto que [tex]AB[/tex] y [tex]BC[/tex] tienen la misma dirección, entonces es posible aplicar las siguientes equivalencias:

[tex]BC = k \cdot AB[/tex], [tex]k\in \mathbb{R}[/tex] (2)

[tex]AC = r\cdot AB, \,r\in\mathbb{R}[/tex] (3)

Al aplicarse (2) y (3) en (1) y simplificar la expresión, tenemos lo siguiente:

[tex]r = 1 + k[/tex] (4)

Por geometría analítica tenemos que el lugar geométrico debe ser una recta, puesto que [tex]r[/tex] y [tex]k[/tex] representan un conjunto infinito de elementos. [tex]\blacksquare[/tex]

Para aprender más sobre lugares geométricos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/26000018

How many decimal places are in the product?

1.684×10.2

Answers

Answer:

4

Step-by-step explanation:

in all there is 4 places behind the decimal

Answer:

4

Step-by-step explanation:

17.1768



Factor completely:

5s4 + 20s3 - 40s​

Answers

Answer:

5s(s3 + 4s2 - 8)

Step-by-step explanation:

Greatest common denominator is 5s

divide all the terms by 5s

5s4 / 5s = s3

20s3/5s = 4s2

-40s/5s = -8

how to find the area of a square whose perimeter is 7 meters​

Answers

Answer:

A≈3.06

P Perimeter  

7

Using the formulas

A=a2

P=4a

Solving forA

A=1

16P2=1

16·72=3.0625

Answer:

Area=49

Step-by-step explanation:

Area of a square= L× L

perimeter=7

Area of a square=7×7

=49square

therefore, the area if a square whose perimeter is 7 is equal to 49square in meters

whats 1.9m + 2.2b why must i put twnety carthers sssssssss

Answers

Answer The answer is literally 1.9m+2.2b unless there's is  number they told you to plug in

Explain your answer !!
Have a nice day

Will give braisnlt

Answers

Answer:

(B)

b + t = 15

2b + 3t = 45

Step-by-step explanation:

Bicycles and tricycles are represented by the letters b and t respectively.

total no of bicycles and tricycles = 15

So,

b + t = 15

Each bicycle has 2 wheels and each tricycle has three wheels.

So,

No of wheels in b bicycles = 2b

No of wheels in t tricycles = 3t

Total no of wheels = 45

So,

2b + 3t = 45

In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.

Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.

What is the area of the quadrilateral
Q
R
U
T
?

Answers

In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.

If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.

Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.

Make sure you draw a diagram of it!!

what is the solution of this system of Linear equations? y=3×-2 and y-2=×​

Answers

Answer:

(2, 4)

Step-by-step explanation:

Given the system of equations

y=3×-2.... 1

y-2=×​ ... 2

Substitute 2 into 1

y = 3(y-2) - 2

y = 3y - 6 - 2

y - 3y =-6-2

-2y = -8

y = -8/-2

y = 4

Recall that

x = y - 2

x = 4-2

x = 2

Hence the solution (x, y) is (2,4)

Please help! I will mark brainliest!

Which two polynomials have a sum of 4x−6? (1 point)

A. (−4x^2+x−3) and (−4x^2+3x+3)
B. (−4x^2+x−3) and (4x^2+3x−3)
C. (−4x^2+x−3) and (4x^2+3x+3)
D. (−4x^2+x−3) and (4x^2−5x−3)

Answers

Answer:

B

Step-by-step explanation:

how do you write the decimal equivalent of five thousandth?

Answers

Answer: 0.005

Step-by-step explanation:

5/1000

Answer:

0.005

Step-by-step explanation:

- Rachel has some apples and bananas.
The ratio of apples to bananas is 2:3
She has 14 apples.
Work out how many bananas Rachel has

Answers

Answer:
21

Step-by-step explanation:
2 (14 apples) : 3 (? bananas)
1/2 of 14 = 7
7 x 3 = 21

Hope this helps! :)
14 divided by 2 is 7. One group of apples is 7. If you do 7x3 (3 for how many groups of bananas there are giving 21)
Or
14 divided by 2 = 7
7x3=21

F(x)= 3x +15 reflect over the X axis what is the y intercept

Answers

Answer:

y is 15 x is 3

Step-by-step explanation:

When graphing inequalities, the () are used for the symbols < and >.
True
False

Answers

Answer:

False i believe.

Step-by-step explanation:

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