) If the standard deviation of a random variable X is 15 and a random sample of size n=15 is​ obtained, what is the standard deviation of the sampling distribution of the sample​ mean?

Answers

Answer 1

Answer:

3.8731

Step-by-step explanation:

The standard deviation of the sampling distribution of the sample​ mean is also called the standard error of the mean expressed as;

SM = s/√n

s is the standard deviation of the random variable X

n is the sample size

Given

s = 15

n = 15

Required

Standard deviation of the sampling distribution of the sample​ mean.

Substituting the given parameters into the expression above;

SM = 15/√15

SM = 15/3.8729

SM = 3.8731

Hence the standard deviation of the sampling distribution of the sample​ mean is 3.8731


Related Questions

Aly's science class was looking at bacteria through a microscope. Aly's teacher said some bacteria can be as small as 0.00365 cm long. What is the length of the bacteria written in scientific notation?

Answers

Answer:

The answer is 3.65 x 10^3 power.

Step-by-step explanation:

In scientific notation, you need only the one's place, so 36.5 would not work. I hope this helps, I know this is a day late and you probably figured it out, but just in case you didn't, here is the answer :)

what is |13| 16 is it = > < ?

Answers

Answer:

<

General Formulas and Concepts:

Math

Reading a number line

Algebra I

|Absolute Value| makes all numbers positive

Step-by-step explanation:

Step 1: Define

|13| = 13

16

Step 2: Compare

16 is greater than 13.

Therefore, |13| < 16.

Answer:

<

Step-by-step explanation:

because the absolute value of |13| is 13 so 13 is less than 16

Please help ASAP Due in a week! Marking Brainliest!

Answers

Answer:

what's due in a week?

Step-by-step explanation:

I will help btw.. ;)

Answer:

There is nothing here it is blank????

What do you need help with?

Step-by-step explanation:

A medical statistician wants to estimate the average weight loss of people who are on a new diet plan. In a preliminary study, he guesses that the standard deviation of the population of weight losses is about 10 pounds. How large a sample should he take to estimate the mean weight loss to within 2 pounds, with 90% confidence?

Answers

Answer:

68

Step-by-step explanation:

To get the sample size of the population, we will use the formula for calculating the standard error of the mean. This is expressed as;

SE = zσ/√n

z is the z score at 90% confidence

σ is the standard deviation

n is the sample size

SE is the mean weight loss

Given

z = 1.645

σ = 10

SE = 2

Required

sample size n

Substitute into the given equation;

SE = zσ/√n

2 = (1.645)(10)/√n

2 = 16.45/√n

√n = 16.45/2

√n = 8.225

n = (8.225)²

n = 67.650625

Hence the total sample should be about 68

A small container holds 75% as much as a large container. if the small container holds 36 liters, how much does the large container hold?

Answers

the answer is 45 I believe sorry if wrong

Completely factored form of t2 - 36

Answers

Answer:

( t + 6 ) ( t − 6 )

Step-by-step explanation:

t 2 − 36

since 36 is a square number, you'll have to unsquare it to get

t 2 −  [tex]6^{2}[/tex]

Since both terms are perfect squares, factor using the difference of squares formula,  a 2 − b 2 = ( a + b )( a − b )  where  a = t  and  b = 6

You should get :  ( t + 6 ) ( t − 6 ) !

Hope this helped :)))

Find the value of 7u-5 given that 13u-6= 7.
Simplify your answer as much as possible.
please help asap if it’s not a real answer i will report but anyways ty if you answer

Answers

Answer:

Step-by-step explanation:

13u - 6= 7

13u = 7 + 6

13u= 13

u = 13/13 = 1

Putting value of u in the equation

7u - 5

7(1) - 5

= 7 - 5

= 2

Michael spent $18 at a local farmers’ market. The apples he bought cost $2 per pound, and the peppers cost $3 per pound. How many pounds of apples and peppers did he buy?

This equation represents the scenario:

2a + 3p = 18

Choose the equations that are equivalent.
Check all that apply.
p = two-thirds a + 6
p = negative two-thirds a + 6
a = negative 1 and one-half p + 9
a = 1 and one-half p + 9
a = StartFraction negative 3 p + 18 Over 2 EndFraction

Answers

Answer:

p=-2/3a + 6

a=-1 1/2p + 9

a= -3p+18/2

Answer:

B C and E

Step-by-step explanation:

got it right on edge after clicking A instead of B

Use the law of sines to find side b.

Answers

Answer:

83.3

Step-by-step explanation:

If P is the incenter of triangle JKL find each measure

Answers

Answer:

Check explanation section (check the attached file for the diagram to the question).

Step-by-step explanation:

Without mincing words let's dive straight into the solution to the question/ problem above.

From the question above, we have that the point p = the point at which the bisecting angle of the triangles meets, that is the term known as incenter.

So, we have that; 7x - 6 = 5x + 4. Hence;

2x = 10; x = 5°.  

Thus, the angle 5x + 4 = which is the angle KJP = 5x + 4. Recall from above that x = 5°.

Hence; 5x + 4 = 5(5) + 4 = 25 - 4 = 29°.

Also, the angle 7x - 6 = which is the angle KJP = 7x - 6. Recall from above that x = 5°.

Therefore, 7x - 6  = 7(5) - 6 = 35 - 6 = 29°.

The angle KJP + the angle LJP= the angle KJL.

Therefore, the angle KJL = 29° + 29° = 58°.

Angle KJL = 130 - ( angle KJL) - (angle KJL).

The angle KJL = 130° - ( 58°) - (52° ) = 70°

Find the value of y in the given square. Only write the number value of y. *
1 point

Answers

Answer: y would =4 because the other answers if you plug in 9 with the X you will get 13 and when you plug 4 where the Y is you get 13

Step-by-step explanation:

Which equation justifies why 9 1/3 = ∛9?
(9 1/3)³ = 9(1/3·3) = 9
(9 1/3)³ = 9(1/3+3) = 9
(9 1/3)³ = 9(1/3-3) = 9
(9 1/3)³ = 9(3-1/3) = 9

Answers

Answer:

(91/3)3=9(1/3-3)=9

Step-by-step explanation:

Answer:

hows your day

Step-by-step explanation:

Cost of Freon Automobiles built before 1993 use Freon in their air
conditioners. The federal government now prohibits the manufacture of
Freon. Because the supply of Freon is decreasing, the price per pound is
increasing exponentially. Current estimates put the formula for the price per
pound of Freon at p(t) = 17.6(1.25)', where t is the number of years since
2000. Find the price of Freon in 2000 and 2010. How much will Freon cost in
the
year 2025?

Answers

9514 1404 393

Answer:

2000: 17.60 per pound2010: 163.91 per pound2025: 4,658.68 per pound

Step-by-step explanation:

We assume your formula is intended to be ...

  p(t) = 17.6(1.25^t)

__

For t=0, ...

  p(0) = 17.6

For t=10, ...

  p(10) = 17.6·1.25^10 ≈ 163.91

For t=25, ...

  p(25) = 17.6·1.25^25 ≈ 4,658.68

helppp please I will give brainliest

write an equation ​

Answers

Answer:

Step-by-step explanation:

c=100g+50

then plug in g to get c values

if every red space i land on is -50 points, and i have -450 points, whats the minimum amount of spaces i could have landed on

Answers

Answer:I think 9 spaces

Step-by-step explanation:

Answer:

i think its 9

Step-by-step explanation: im not sure

3/4 divided by 1/5 in its best form

Answers

3 3/4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

it's 15\4 ur answer dear.

Just multiply 1\3 by reciprocal of 1\5.

Hope u Got it .

Mark it As Brainliest please.

Which of the following lists does not include all the factors of the number?
4: 1, 2,4
10: 1, 2, 5, 10
5: 1,5
21: 1, 21

Answers

The Answer is 21 because 7 and 3 can go in it as well

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Answers

Answer:

(a). y = 3x - 11 ; (b). y = [tex]-\frac{1}{3}[/tex] x - 1

Step-by-step explanation:

Parallel lines have the same slopes

Slopes of perpendicular lines are opposite reciprocals.

(3, - 2)

The slope of given line is 3

(a). Equation of ║ line is

y + 2 = 3(x - 3)

y = 3x - 11

(b). Slope of perpendicular line is [tex]-\frac{1}{3}[/tex]

y + 2 = [tex]-\frac{1}{3}[/tex] (x - 3)

y = [tex]-\frac{1}{3}[/tex] x - 1

The required equation of a line parallel to the line will be y = 3x - 7

The required equation of the perpendicular line is y = -1/3 - 7

Using the coordinate points to get the equation of the line (1, -4) and (2, -1)

The standard form of the equation is expressed as y = mx + b

m is the slope

b is the y-intercept

Get the slope:

m = y2-y1/x2-x1

m = -1+4/2-1

m = 3/1

m = 3

Get the y-intercept

-4 = 3(1) + b

b = -4-3

b = -7

The required equation of a line parallel to the line will be y = 3x - 7

For the equation of the line perpendicular, the slope of the line will be -1/3

The required equation of the perpendicular line is y = -1/3 - 7

Learn more here: https://brainly.com/question/17003809

Find the radius of circle

Answers

Answer:

40 ft in think

Step-by-step explanation:

Answer: 20 feet

Step-by-step explanation:

radius of a Circe is half of the diameter

40 divided by 2 = 20 feet

4/9+3/10= what's the answer please​

Answers

Answer:

67/90

Step-by-step explanation:

no explanation

Write and expression using only a whole-number based and a whole-number exponent to model 9•9•9•9•9

Answers

[tex]9 \times 9 \times 9 \times 9 \times 9 \\ = {9}^{5} [/tex]

4. The polynomial m is a function ofx. The graph of m has two zeros at -7 and 2. Which expression below
could be a possible expression of m?
a. (x + 7)(x - 2)
b. (x-7)(x+2)
c. - (x – 7)(x+2)
dr2 - 7x + 2
what’s the answer?

Answers

Answer: A foreshore

Step-by-step explanation:

Jaine has saved 7times as much as jared has saved. Jaine has saved $378.how much money has jared saved?

Answers

Jared saved $54. 378/7 = 548.

Answer:

54

Step-by-step explanation:

378 divided by 7 is how much Jared saved

Find the diameter of a circle which has an area of 2.7 cm?

Answers

Answer:

1.85

Step-by-step explanation:

please mark me brainliest

Answer:

5.94cm²

Step-by-step explanation:

d = 2.75

r = d/2 = 2.75/2 = 1.375

A= πr² = π(1.375)² = 5.94cm²

please mark brainliest

what does "x'' equal if 16=x-12

Answers

Answer:

x=28

Step-by-step explanation:

16 + 12 = 28

x=28

this is ez

Answer:

28

Step-by-step explanation:

What is the equation of a line that has a slope of 2 and passes through point (-6,3)?

Answers

Answer:

The answer is

[tex] \huge y = 2x + 15[/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

[tex]y - 3 = 2(x + 6) \\ y - 3 = 2x + 12 \\ y = 2x + 12 + 3[/tex]

We have the final answer as

[tex]y = 2x + 15[/tex]

Hope this helps you

Solve for c. a (c – b) = d. d + ab OC= a OC = d - ab 6 d - ab O c = a ab - d о с — a​

Answers

Answer:

Solving the equation [tex]a (c -b) = d[/tex] for c we get [tex]\mathbf{c=\frac{d+ba}{a} }[/tex]

Step-by-step explanation:

We need to solve the equation [tex]a (c -b) = d[/tex] for c

Solving the given equation:

[tex]a (c -b) = d[/tex]

Divide both sides by a

[tex]\frac{a(c-b)}{a}=\frac{d}{a}\\c-b=\frac{d}{a}[/tex]

Adding b on both sides

[tex]c-b+b=\frac{d}{a}+b\\c=\frac{d}{a}+b\\c=\frac{d+ba}{a}[/tex]

So, solving the equation [tex]a (c -b) = d[/tex] for c we get [tex]\mathbf{c=\frac{d+ba}{a} }[/tex]

I dont get this
find the value of x

Answers

We have 89 and 36 inside of the triangle because 36 is a vertical angle and vertical angles are congruent)

And triangles are equal to 180.
So we add 89 with 36 and get 125 and we subtract 180 with 125 to get the missing angle 55

X and 55 are a linear pair so they are equal to 180.

180-55= 125

I think this is the correct answer X=125

Hope this helps :D

Joanne can read around 16 sentences per minute of her current novel. She wants to finish her reading before the movie comes out next week. If she has 19 pages left to read and each page has about 140 sentences, how many hours should Joanne set aside to complete her reading? Show your work. Round the answer to the tenths place.

Answers

Answer:

The answer is "3 hours and 28 minutes".

Step-by-step explanation:

Calculating the total sentence:

[tex]= 19 \ pages \times 140 \ sentences \\\\= 2,660 sentences\\\\[/tex]

Calculating the minutes which is needed:

[tex]= 2,660 \div 16 \\\\ = 166.25 \ minutes\\\\[/tex]

Calculating the hours and minutes:

[tex]= 166.25 \div 60 \\\\=3 \ hours \ and \ 28 \ minutes[/tex]

Solve the equation C=5/9(F-32) Solve for F.

Answers

Answer: f=9c/5+32

Step-by-step explanation:

hope it helps!

Answer:

F=9C/5+32

Step-by-step explanation:

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