[9] X is a Gaussian random variable with variance 0.25. The mean of X is estimated by taking the sample mean of independent samples of X. If the mean needs to be estimated within 0.01 from the actual mean with a confidence coefficient of 0.99, find the minimum number of samples needed in the estimation.

Answers

Answer 1

Answer:

The minimum number of samples required is  [tex]n = 16641 [/tex]  

Step-by-step explanation:

From the question we are told that

    The variance is  [tex]\sigma^2 = 0.25[/tex]

    The margin of error is [tex]E = 0.01[/tex]

From the question we are told the confidence coefficient is  0.99 , hence the level of significance is    

      [tex]\alpha = (1 - 0.99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the standard deviation is

      [tex]\sigma =\sqrt{\sigma^2}[/tex]

=>   [tex]\sigma =\sqrt{0.25}[/tex]

=>   [tex]\sigma =0.5[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2[/tex]

=>      [tex]n = [\frac{2.58 } *  0.5 }{0.01 } ] ^2[/tex]

=>      [tex]n = 16641 [/tex]        


Related Questions

The midpoints of the sides of a square of side 6 are joined to form a new square. This procedure is infinitely repeated for each new square, what is the sum of the areas of all the squares?
Just take the points, I already have the answer!

Answers

Lets see

For side=6

Area=side²=6²=36units²

Now midpoints are the connections so diagonal of half side are the sides of new one

New side

√(6/2)2+(6/2)²√3²+3²√183√2

New area

(3√2)²=18

Again new area will be half of old area

18/2=9

Again

9/2=4.5

This forms a geometric sequence

First term=a=36Common ratio=r=(0.5)

Now

sum for infinite series:-

[tex]\\ \rm\Rrightarrow \dfrac{a}{1-r}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{36}{1-0.5}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{36}{0.5}[/tex]

[tex]\\ \rm\Rrightarrow 72units^2[/tex]

You go to a Chicago Bears game. You spend a total of $72 buying brats "b" and hotdogs "h" for your group. You paid $6 per brat and $4 per hotdog. You bought a total of 14 brats and hotdogs. How many of each did you buy? ​

Answers

All of them because they yummy

Las ecuaciones con numeros racionales se resuelven de manera similar a las ecuaciones con numeros enteros

Answers

Answer:

es verdadero

Step-by-step explanation:

the difference between eight and twice a number x is four

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]Let\ the\ number\ be\ x\\Hence,\\8-2x=4\\-2x=4-8\\-2x=-4\\x=\frac{-4}{-2} \\x=\frac{4}{2} \\x=2[/tex]

Answer:

Yes

Step-by-step explanation:

2 x 4 = 8

8 / 4 = 2

Please help algebra work needs to be shown please help

Answers

Answer: 1) x=6.92 or rounded: 6.9

take a look at the image

Which expression represents the perimeter of the rectangle shown below

Answers

Answer:

D

Add all of the sides together. 2x+1 plus 2x+1 equalls 4x +2

Then add that to (xsquared+3x-2 + xsquared+3x-2) which is 2xsquared +6x-4+4x+2 which equalls D

Its D

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

determine the domain of the following graph

Answers

Answer:

Domain: -3 ≤ x ≤ 9

Step-by-step explanation:

The domain of the graph is the set of all possible x-values.

The set of all possible values as represented on the graph above runs from -3 to 9.

This, domain of the graph is -3 ≤ x ≤ 9

The function g(x) =f(x-6) is a transformation of the parent function, f(x) = x which of the following correctly describes the transformation
A the graph is translated 6 units left
B the graph is translated 6 units right
C the graph is translated 6 units up
D the graph is translated 6 units down

Answers

Answer:

A, I belive

Step-by-step explanation:

Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?

Answers

Answer:

on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon

PLEASE answer i’m begging you

Answers

Answer:

C.

Step-by-step explanation:

The amount of money she has at the beginning of the week.

Which expressions are equivalent to 6 + 12x?
Select each equivalent expression.

Answers

Answer:

2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)

Step-by-step explanation:

Given the expression 6 + 12x.

The following functions are equivalent;

Factoring out common number;

For 2;

2(3) + 2(6x)

2 (3 + 6x)

Factoring out 3;

3(2) + 3(4x)

3 (2 + 4x)

Factoring out 6;

6(1) + 6(2x)

6 (1 + 2x)

Hence the possible equivalent expressions are 2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)

Question 10 of 10
Jerry drew AJKL and AMNP so that ZK = ZN, LL LP, JK= 6, and
MN = 18. Are AJKL and AMNP similar? If so, identify the similarity postulate
or theorem that applies.
O A. Similar - AA
O B. Cannot be determined
C. Similar - SSS
OD. Similar - SAS

Answers

The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.

It is given that two triangles that are JKL and MNP are considered in which:

∠K = ∠N

∠L = ∠P

JK = 6

MN = 18.

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.

Learn more about similarity here:

https://brainly.com/question/25631497

#SPJ9

Your question was incomplete. Please refer the content below:

Jerry drew JKL and MNP so that K= N,L= P, JK=6, and MN=18. Are JKL and MNP similar? IF so, identify the similarity postulate or theorem that applies.

A. Similar - AA

B. Cannot be determined

C. Similar - SSS

D. Similar - SAS

Find the distance between the points (-16, -16) and (8, -16).

Answers

Answer:

24 units

Just add the distance that each is from the origin.

(-16, -16) is 16 away from 0, 0

(8, -16) is 8 away from origin

16 + 8 = 24

This only works because these two points` x-axis coordinates match. It doesn`t work with everything.

24 units bc -16 to 8 is 24.

22,064÷394 kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Answers

Answer:

hello my fellow brainlier

Step-by-step explanation:

According to my calculations answer will be 56 .TY!

XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.

Answers

Considering that XZ is the perpendicular bisector of segment WY, we have that the value of k is of k = 6.

What is the effect of XZ being the perpendicular bisector of segment WY?

It means that XZ divides the segment into two segments of equal length, given by:

WX = XY.

From the lengths given, we can solve for k as follows:

3k + 17 = 7k - 7

4k = 24.

k = 24/4

k = 6.

The value of k is of k = 6.

More can be learned about perpendicular bisectors at https://brainly.com/question/11006922

#SPJ1

Please help me solve this problem

Answers

Answer:

Answer is D.

Step-by-step explanation: When looking for distance, you want to find the sum of the *absolute value of 2 numbers* (or more). That is why you would want to add p and q.

Hope this helped. I'm really tired rn so sorry if this wasn't the best.

10 POINTS Solve for x:
7-2x=9x+19

A.x = 11/12
B.x = -12/11
C.x = 1

Answers

The answer is B. -12/11)

Answer:

Answer is "B"

Step-by-step explanation:

Rearrange terms:  7-2x=9x+19

-2x+7=9x+19

 Subtract 7 from both sides of the equation: -2x+7=9x+19

-2x+7-7=9x+19-7

Simplify: -2x=9x+12

Subtract 9x from both sides: -2x=9x+12

-2x-9x=9x+12-9x

simplifiy: -11x=12

solution: x=-12/11

Use the following cell phone airport data speeds (Mbps) from a particular network. Find P40
0.4
1.1
0.2
0.6
1.7
3.5
10.7
0.2
0.6
1.9
4.4
10.8
0.3
0.7
2.1
5.2
11.1
0.3
0.7
2.5
6.8
12.2
0.3
0.8
2.6
7.8
12.5
0.3
0.9
2.6
8.8
14.6
0.4
0.4
1.1
2.8
2.9
8.8
14.6
9.8
15.4
0.40
1.3
1.4
3.2
3.4
9.9
10.1
15.5
26.7


P40= ___ Mbps

Answers

The 40th percentile is (1.6 + 1.6) / 2 = 1.6

What is percentile ?

In statistics, a k th percentile is a score below which a given percentage k of scores in its frequency distribution falls or a score at or below which a given percentage falls.

The data are in ascending order.

Compute the position of the pth percentile (index i):

i = (p/100)*n

i = (40/100)*50

i = 20

The index i is an integer ⇒ the 40th percentile is the average of the values in the 19th and 20th positions (1.6 and 1.6 respectively).

Therefore, the 40th percentile is (1.6 + 1.6) / 2 = 1.6

P40=1.6 Mbps

Read more about percentile at :

https://brainly.com/question/1594020

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Seven less than twice a number is 43.

Answers

Answer:

x = 25

Step-by-step explanation:

Let's start with the sentence

Seven less than twice a number is 43.

Let's rearrange it to make it easier to convert to an equation

Twice a number subtracted by seven is 43

Now let's convert to an equation

Twice a number: 2x

Subtracted: -

Seven: 7

is: =

43

2x - 7 = 43

Now we can simplify by adding 7 to both sides.

2x = 50

Lastly, let's divide by 2 to isolate the x variable.

x = 25

I need help ASAP

Mateo earns a yearly salary of 40,000. Rico earns a yearly salary of 51,000. Mateo will receive a salary increase of 3,500 per year, and Rico will receive a salary increase of 2,800 per year

Which equation can be used to find n, the number of years it will take Mateo to earn the same salary as Rico?

A: 40,000+3,500n=51,000+ 2,800

B: 40,000+3,500n=51,000n+ 2,800n

C: 40,000n+3,500=51,000n+ 2,800

D: 40,000+3,500n=51,000n+ 2,800

Answers

Answer is 40,000+3,500n = 51,000 +2,800n I think u didn’t put the n in A so A?

What is the constant in the expression?


15x² + 2x – 3

Answers

Answer: -3

Step-by-step explanation:

Answer:

the constant in this expression is 3

Step-by-step explanation:

the constant is a single number

Help my 5th Grade son with his I-Ready


The question is Multiply 1 by 5 and the equation is 152 x 61 but there's a box above the number 1 and a box under 6, what do we put and how do we solve it?

Answers

Answer:

well the answer will come out to 9272

Step-by-step explanation:

In the figure below, ABD measures 41. What is the measure of ABC?​

Answers

Answer:

The answer is 82 degrees.

one number is 12 more than twice another number. what are the numbers if their sum is 72?

Answers

Answer: 20, and 52

Step-by-step explanation: lets "translate" the sentence

one number=a

the other numebr b=2a+12

a+b=72

a+2a+12=72

3a=72-12

3a=60

a=60/3=20

a=20

b=52

a=b=72

Is TA congruent to GO? Proof?

Answers

no AAA is not a congruency property

Answer:

Yeah

Step-by-step explanation:

find the domain and range of {(x, y) : |x| + y ≥ 2}

Answers

Answer:

[tex]\textsf {Domain} : -\infty \: < x < \infty \\\textsf {In interval notation: } (-\infty, \infty)}[/tex]

[tex]\textsf {Range: } f\left(x\right)\le \:2 \\\textsf {In interval notation:} \:(-\infty \:,\:2][/tex]

Step-by-step explanation:

There are no undefined points for the function. So the domain is the set of all x values

The domain of x is (-∞, ∞) so x can be negative or positive. However, |x| is always positive

So if the inequality |x| + y ≥ 2 is to hold good then y has to be less than equal to 2, otherwise the left side drops below 2 and the inequality is not satisfied.

So the range is the set of all values in the interval (-∞, 2)

Check out the graph for a visual interpretation


Find the slope of the line y=1/3x+3/2

Answers

Answer:

1/3

Step-by-step explanation:

The slope is 1/3

Answer:

slope:1/3

y intercept(just an extra!):(0,-3)

Step-by-step explanation:

Hope I could help! Stay safe and drink water<3

A cylinder has a base diameter of 20 meters and a height of 5 meters. What is its
volume in cubic meters, to the nearest tenths place?

Answers

Volume = PI x r^2 x h

r -s 1/2 the diameter ( 20/2 = 10)

Volume = 3.14 x 10^2 x 5

Volume = 3.14 x 100 x 5

Volume = 3.14 x 500

Volume = 1570 cubic meters

The answer is 1570.8

please help me asap​

Answers

to subtract fractions, we need an lcd( lowest common denominator)

8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction

to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)

to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)

these two numbers now have the same denominator so we subtract them

24/42 - 21/42 = 3/42 which simplifies to 1/14

9. since these fractions already have a common denominator, we will make them mixed fractions

-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7

-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7

now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7

40) Jose and Eugene each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jose spent $70 on 7 rose bushes and 4 geraniums. Eugene spent $50 on 6 rose bushes and 2 geraniums. Find the cost of one rose bush and the cost of one geranium

A) rose bush: $7, geranium: $9
B) rose bush: $6, geranium: $7
C) rose bush: $7, geranium: $5
D) rose bush: $8, geranium: $11​

Answers

Answer:

I need points bro

Step-by-step explanation:

Answer: B) rose bush: $6, geranium $7

Step-by-step explanation:

Jose spent $70 on 7 rose bushes and 4 geraniums.

( 7 x $6 = $42 ) ( 4 x $7 =  $28 )

$42+$28= $70

Eugene spent $50 on 6 rose bushes and 2 geraniums.

( 6 x $6 = $36 ) ( 2 x $7 = $14 )

36+14 =50

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