A large school district is considering implementing a program that, if successful, would improve the reading scores of its students by 10 points. The current reading scores for the district are normally distributed with a mean of 25 and a standard deviation of 8. The administrators decide to test the new program in one school of 200 students. What is the standard deviation of the comparison distribution

Answers

Answer 1

Answer:

The standard deviation of the comparison distribution is 0.5657.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

Standard deviation of the population is 8, sample of 200. So

[tex]s = \frac{8}{\sqrt{200}} = 0.5657[/tex]

The standard deviation of the comparison distribution is 0.5657.


Related Questions

8 1/3 33/4 8.287 8.29 order from least to greatest

Answers

Answer:

33/4 - 8.287 - 8.29 - 8 1/3

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pls can i get brainliest it took soo long to figure out

please help ! I need help with math because I am failing and I might have to repeat the grade.. I have a quiz right now I don’t understand this question I will provide a photo above thank you <3! question “10“ btw

Answers

2560 fluid ounces in pints is 160 which is A.

If this is incorrect, please don't refrain to tell me and I'll correct my answer. Thank you.

what is the sum of 6 1/2 + 2 1/3

Answers

Answer:

8 5/6

common denominator

Answer:

8 5/6

Step-by-step explanation:

True or False: 53 = 15

Answers

Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.

Item 13
Write an explicit rule for the recursive rule.

$a_1=16,a_n=0.5a_{n-1}$

Answers

Answer:

Step-by-step explanation:

[tex]a_{1}=16[/tex]

[tex]r=\frac{a_{n}}{a_{n-1}} =0.5\\a_{n}=a_{1}r^{n-1}=16(0.5)^{n-1}[/tex]

Find the GCF of each pair of monomials.

1. 20, 45x

2. 15r, 25

3. 8xy, 14x

4. 16mn, 24m

5. 25f, 60g

6. 33c, 55cd​​

Answers

1. 5
2. 5
3. 2x
4. 8m
5. 5
6. 11c

The quadrant that contains the point (-7,-16) is quadrant PLSS ANWAR NOW NEED HELP NOW

Answers

Answer:

hi how may i help

Step-by-step explanation:

how can i help u

NEED HELP ON THIS ASAP

Answers

Answer:

CosF=A/H

CosF=24/25

CosF=0.96

F=Cos^-1(0.96)

F=16°

The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?

Answers

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

Answer:

d) x^2+14x+40

Step-by-step explanation:

You gotta multiply (x + 4)(x + 10)

US
Find the measure of 48.
48
97/83
97
48 = [?]
Enter

Answers

it’s 83°

step by step :

Q. A mechanic has a radiator hose that
measures 32 feet long. It needs to be cut into
pieces equaling 5 feet 3 inches. How many
whole pieces can it be cut into?
A. 4 pieces
B. 6 pieces
C. 7 pieces
D. 8 pieces

Answers

B 6 whole peices

explanation

I need help please!!

Answers

Answer:

Sorry I could only find the answer to the second part.

y=56x

The area of the triangle below is 3/25 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
2/5 ft is the height

Answers

Answer:

b = 0.6 ft

Step-by-step explanation:

area = 3/25

area = 1/2bh

3/25 = 1/2b(2/5)

1/2b = (3/25)/(2/5) = 15/50 = 3/10 or 0.3

b = 2(0.3) = 0.6 ft

The length of the base as a fraction in the simplest form is 3/5 feet.

What is a Triangle?

Every three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its interior angles sum to 180 degrees. This characteristic is known as the triangle's angle sum property. Every triangle has a length, base and height.

As per the given data:

Area of the triangle (A) = (3/25) sq feet

Height of the triangle (h) = (2/5) feet

A = (1/2) × base × height

(3/25) = (1/2) × base × (2/5)

base = (3 × 2 × 5)/(25 × 2)

base = 15/25

base = 3/5 feet

Hence, the length of the base as a fraction in the simplest form is 3/5 feet.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ3

In a​ circle, a 315 sector has area 504piin2. What is the radius of the​ circle?

Answers

Answer:

Step-by-step explanation:

θ = 315°×π/180° = 1.75π radians

area of circle = (area of sector)2π/θ

= (504π)2π/θ

= 576π in²

576π = πr²

r = √576 = 24 in

SOMEONE PLZ ANSWER THIS FAST

Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?

Answers

Answer:

9.8  miles

Step-by-step explanation:

14/5= 2.8mph

2.8*3.5= 9.8 miles in 3.5 hours

Need help on this question!
Award brainliest!!!
Thanks!

Answers

Answer:

Quintrell's number is 9.

Step-by-step explanation:

Let [tex]x[/tex] be equal to Quintrell's number.

"When 35 is added to my number, the answer is 4 times my original number plus 8."

[tex]35+x=4x+8[/tex]

Subtract both sides by [tex]x[/tex]

[tex]35+x-x=4x+8-x\\35=3x+8[/tex]

Subtract both sides by 8

[tex]35-8=3x+8-8\\27=3x[/tex]

Divide both sides by 3

[tex]\frac{27}{3} =\frac{3x}{3} \\9=x[/tex]

Therefore, Quintrell's number is 9.

I hope this helps!


A line passes through the point (-8, -7) and has a slope of 5/4

Write an equation in slope intercept form for this line


Plzzz help

Answers

Answer:

y = 5/4x + 3

Step-by-step explanation:

The following data were given in a study of a group of 1000 subscribers to a certain magazine. In reference to job, marital status, and education, there were
312 professionals,
470 married persons,
525 college graduates,
42 professional college graduates,
147 married college graduates,
86 married professionals,
25 married professional college graduates.
(i) Let a person be picked at random. Determine the probability that the person is married or professional or college graduate.
(ii) Explain why the numbers reported in the study must be incorrect.

Answers

Answer:

[tex](a)[/tex]  [tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) See Explanation

Step-by-step explanation:

Given

[tex]P = 312[/tex] ---- Professionals,

[tex]M = 470[/tex] ----- Married persons,

[tex]C = 525[/tex] ---- College graduates,

[tex]PCG = 42[/tex]  ----- Professional college graduates,

[tex]MCG = 147[/tex] ----- Married college graduates,

[tex]MP = 86[/tex]  ---- Married professionals,

[tex]MPCG = 25[/tex] ---- Married professional college graduates

[tex]Total =1000[/tex]

Solving (a): P(M or P or C)

This is calculated as:

[tex]P(M\ or\ P\ or\ C) = P(M) + P(P) + P(C)[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{n(M) + n(P) + n(C)}{Total}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{470 + 525 + 312}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{1307}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.

In (a) above, the calculated probability exceeds 1.

Because of this single reason, the collected data is incorrect

4. According to the graph above, which of
the following best represents the number of
calories from protein a person on a 2,200-
calorie diet should consume?
A. 450
B. 550
C. 625
D. 650

Answers

The answer to this is D!!!!

Answer: B:550.                  You do percent over 100 equals part over whole.you put 25 as your percent over 100 then you put 2,200 as your whole put x on part then you multiply 25x2,200=55,000 then you dived 55000 and 100 and you get 550

i don't get how to do this one

Answers

Its the second one............

1/3 and 2/6 how is each pair equivalent?

Answers

Answer:

By multiple by 2

Step-by-step explanation:

1 multiplied by 2 = 2

3 multiplied by 2 = 6

In that case they equivalent due to the number 2.

A number more than nine is more than twenty.

write as an inequality

Answers

Answer:

I think it is 20 < x > 9. But I am not completely sure.



[tex] \frac{2}{6 } + \frac{1}{4} = [/tex]
how do we solve?

Answers

Answer:

7/12

Step-by-step explanation:

We cannot add fractions without the same denominator. 4 does not equal 6

ok

2/6 is the same as 4/12 because we multiply proportionately

we multiply the numerator and denominator by the same factor

2/6 x 2/2 = 4/12

now 1/4 is the same as 3/12 because we multiply by 3x3

(realize something we are not changing the value of the fraction. 2/2 is the same as 1 and 3/3 is also the same as 1)

now they have the same denominator

4/12 + 3/12+ = 7/12

find the area of 12m and 8m​

Answers

Answer:

Hiya!!

12m * 8m = 96m

Step-by-step explanation:

The hypotenuse is NOT:

Answers

Answer:

NOT found in obtuse triangles

Step-by-step explanation:

you only talk about hypotenuse, adjacent, and opposite in right triangle

Pls help this is due today ! Find the value x:

Answers

Answer:

x= 12

Step-by-step explanation:

180° = (3x - 6) + (8x + 4) + 50°  because all interior angles of a triangle add up to 180°

180° = 11x +48°

11x = 132°

x = 12

Plot the zeros of this function:

f(x) = (x – 1)(x – 7).

Drawing Tools
Click on a tool to begin drawing.

Answers

The zeros are 1 and 7

A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.

Answers

Answer:

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

PLEASE HELP!!!50 POINTS!!GIVING BRAINIEST!!!Noah is helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for $1.50.
boxes sold (b) money collected (m)
1 $ ?
2 $ ?
3 $ ?
4 $ ?
5 $ ?
6 $ ?
7 $ ?
8 $ ?
b. Write an equation for the amount of money, m, that will be collected if b boxes of chocolate bars are sold.

c. What is the independent variable? (m or b?) What is the dependent variable?(m or b?)

d. Write an equation for the number of boxes, b, that were sold if m dollars were collected. (use / to show division)

e. What is the independent variable?(m or b?)
What is the dependent variable? (m or b?)

Answers

i might have read this problem wrong since i didnt get a clear understanding because of the wording of this problem but i will do the best i can!

step-by-step explanation:

first step is to make a table! and ill just make one on here so you can get a better understanding on this problem :)

----------------------------------

| boxes sold (b) | money collected (m) |

----------------------------------

|    1    |          1.50           |

----------------------------------

|    2    |          3           |

----------------------------------

|    3    |          4.50            |

----------------------------------

|    4    |          6           |

----------------------------------

|   5    |          7.50           |

----------------------------------

|   6    |          9           |

----------------------------------

|   7    |          10.50           |

----------------------------------

|   8    |          12           |

----------------------------------

(b * 1.50) = m

the independent variable = boxes sold (b)

the dependent variable = money collected (m)

hope this helps you and please tell me if i did something wrong or if you need extra help understanding this problem! :)

I don't know answer to this problem?

Answers

There is no picture or context
If you put a picture or explain I could of maybe help you!!!
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