Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?
(A) A sample of size 25 will produce more variability of the estimator than a sample of size 50.
(B) A sample of size 25 will produce less variability of the estimator than a sample of size 50.
(C) A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.
(D) A sample of size 25 will produce a more biased estimator than a sample of size 50.
(E) A sample of size 25 will produce a less biased estimator than a sample of size 50.

Answers

Answer 1

Using the Central Limit Theorem, it is found that the correct option is:

(A) A sample of size 25 will produce more variability of the estimator than a sample of size 50.

By the Central Limit Theorem, for a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], considering the sampling distribution of sample means of size n, the measure of variability is the standard error, which is given by:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

Hence, the higher the sample size, the lower the variability, and option A is correct.

A similar problem is given at https://brainly.com/question/24663213


Related Questions

can someone help me solve this question? -6 - (-10) + (-2)

Answers

Answer:

2

Step-by-step explanation:

note - (- ) = + and + (- ) = -

- 6 - (- 10) + (- 2)

= - 6 + 10 - 2

= 4 - 2

= 2

Answer:

2

Explanation:

- 6 + 10+ (- 2)

= 4+(-2)

=2


Work out the area of the pentagon.
Give your answer correct to 3 significant figures.

//answer please

Answers

Answer:

Step-by-step explanation:

A = 1/4√5(5+2√5)a²

After substituting, what is the first operation performed when evaluating 5 + (9 x minus 3) divide 2 for x = 5?

Answers

Answer:

After substituting We multiply 5 with 9.

Step-by-step explanation:

Given Expression 5 + ( 9x - 3 ) ÷ 2

5 + ( 9 × 5 - 3 ) ÷ 2

5 + ( 45 - 3 ) ÷ 2

5 + ( 42 ) ÷ 2

5 + 21

26

The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.

Answers

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].  Plugging in the following values would provide you with:

[tex]\frac{(r)-(-5)}{(5)-(2)} =2[/tex]

[tex]\frac{r + 5}{3} = 2[/tex]

[tex]r + 5 = 6[/tex]

[tex]r = 1[/tex]

Hope it helps :) and let me know if you want me to elaborate on anything.

um I need help with thissss

Answers

Answer:

its you again

Step-by-step explanation:

if they have the same amount of dashes on the same sided they are congruent

does that answer your question

if they have the same amount of dashes on the same sided they are congruent

Find the missing value in the
equivalent ratio 12:18 = 16:
Choose
A.20
B.24
C.28

Answers

Answer:

B

Step-by-step explanation:

B because 12;18+16=B

Answer:

Find the missing value in the

equivalent ratio 12:18 = 16:

Choose

A.20

B.24

C.28



we have that

12:18 is the same that 12/18

simplify

12/18=6/9=2/3

Multiply by 8/8

(2/3)*(8/8)=16/24

therefore

the answer is the option B

Step-by-step explanation:

solve the proportion (someone pls help)

Answers

X=23

3x=2x+8+15

3x=2x+23

3x−2x=23

!!!WILL MARK BRAINLIEST IF ALL ARE ANWSERED!!! please provide short explanations

Answers

Answer:

20= 20

21. 10

22. 1.8

23. 4.4

24. 32

25. 7/9

If a=6, b=12,and c=4, then what does 2ab-c^2 equal?

Answer: 2(6)(12)-4^2 = 128

What is the prime factorization of 100,000?

Answer: 2^5× 5^5

Solve for x. 5.8 = 4x+0.2

Answer: x= 1.4

Find the area of this shape.

Answer: Area = 1.21

What is the lateral surface area of this rectangular prism?

Answer: 208 in^2

5/9 + 1/3 × 1/3 = 0.66666666666 = 2/3

Step-by-step explanation:

The prime factorization of 100,000 is 2^5 × 5^5. Since it has a total of 10 prime factors, 100,000 is a composite number.

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5.8-0.2=4+0.2−0.2

5.6 = 4x

5.6/4  = 4x/4

x= 1.4

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

Square sides are equal..

A=a^2=1.1^2≈1.21

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The lateral surface area of a rectangular prism can be calculated by finding the sum of all the lateral faces of the prism, i.e. the total area excluding the area of the bases. The formula to find the surface area of a rectangular prism is given as, Lateral surface area of a rectangular prism = 2(l + b) h square units.

When a prism has its bases facing up and down, the lateral area is the area of the vertical faces. (For a rectangular prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism.

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Quan can make 30 bracelets in 2.25 hours. How much time will it take him to make 80 bracelets .

Answers

Answer:

6

Step-by-step explanation:

What percentage of teens and young adults have retail jobs? 5% 7% 8% 19%.

Answers

the answer is 19 percent

The percentage of teens and young adults in the pie chart that represents retail jobs is 19%.

What is a pie chart?

A Pie chart is a type of graph that displays data in a circular graph.

The pie chart above is used to represent the percentage of young adults and teen that works in various industry.

The industries represented in the pie chart includes leisure and hospitality, retails trade, education and health sector, Manufacturing, construction, government and many more.

Therefore, the percentage of teens and young adults that represents retail jobs is 19%.

learn more on pie chart here: https://brainly.com/question/12265375

#SPJ2

1/6 to the power of 3

Answers

Answer:

0.00462962962

Step-by-step explanation:

Select the function that is odd.

A. f (x) = sin (x)
B. f (x) = cos (x) + sin (x)
C. f (x) = cos^3 (x)
D. f (x) = sin^2 (x)

Answers

The answer is A. F(x)= sin(x)

solve pls brainliest

Answers

1. Yes. Terminating decimal. 2. Yes. Repeating decimal. 3. Yes. Repeating decimal. 4. No. Neither

Giving brainliest to correct answer
1/4 + 1/3 + 11/12 6/15 + 3/10 + 3/5
4/5 + 3/15 - 2/3 4 2/5 + 5 2/6

Answers

Answer:

#1) 3/2 #2) 13/10 #3) 1/3 #4) 49/15

Step-by-step explanation:

This may not be right because I don't know if you wanted the answers in fractions or not, but I tried. There's too much work to show. Sorry.

What is the slope-intercept form and slope and y-intercept of the problem: -4x+2y=10?

Answers

Answer:

slope intercept is y=mx+b where m is the slope and b is the y intercept

so the slope is 2 and the y intercept is 5 so the equation is y=2x+5

Step-by-step explanation:

Answer correctly please?

Answers

Answer:

$3.07

Step-by-step explanation:

First add up all of the costs:

3.49+3.49+2.79+2.79+2.79=15.35

Then divide this by the 5 friends:

15.35÷5=3.07

Given: x + 2 < -5.



Choose the solution set.

{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

x < -7

Step-by-step explanation:

Subtract 2 on both sides to get x < -7.

Hope this helps :)

Bruno and Willie need a total of $50,000 to start an accounting business. Bruno has spent a lot of time getting the business set up, so Willie agrees to contribute $12,000 more than Bruno. How much money will Willie contribute?

Answers

The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Let amount contributed by Willie be x

Let amount contributed by Bruno be y

Since Willie agreed to contribute $12,000 more than Bruno;

Therefore;

x - y = 12000....…....... equation (1)

x + y = 50,000...…....... equation (2)

By solving the system of equations simultaneously;

2x = 62000

x = 31000

and y = 50,000 - 31000

y = 19,000

In essence; The amount contributed by Willie and Bruno is $31000 and $19,000 respectively.

Read more:

https://brainly.com/question/23612222

Peter is 75.25 inches tall, but Steve is 1.75 inches taller. How tall is Steve? ?​

Answers

Answer:

77 in.

Step-by-step explanation:

Peter: 75.25 in.

Steve: 75.25 in. + 1.75 in. = 77 in.

77 inches.75.25 inches+1.75 inches=77 inches

It costs $12 to enter the fair and $0.50 per ticket for rides. How much total would you spend if you paid admission and bought 70 tickets? plz hurry will mark brainlest

Answers

The initial cost is $12 to enter.

Each ticket is $.50

we want to find out how much it costs for 70 tickets so we multiply the cost by the amount;

70 x .50 = 35

Therefor including the entry fee, it would cost $35 + $12

Which is $47

I hope this helps! :)

Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.

Answers

Answer:

Step-by-step explanation:

These two angles are interior and on the same side of the transversal. Therefore they are supplementary.

6x + x + 5 = 180

7x + 5 = 180                   Subtract 5 from both sides

7x = 180 - 5

7x = 175                        Divide by 7

x = 175/7

x = 25

x + 5 = 25 + 5 = 30

6x = 6*25 =       150

What is the value of x? Show your work.​

Answers

[tex] \frac{30}{25} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 6}{5 \times 5} = \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{6}{5} = \frac{4x - 4}{20} \\ [/tex]

Multiply both sides by 20

[tex]20 \times \frac{6}{5} = 20 \times \frac{4x - 4}{20} \\ [/tex]

[tex] \frac{5 \times 4 \times 6}{5} = 4x - 4 \\ [/tex]

[tex]24 = 4x - 4[/tex]

Add both sides 4

[tex]24 + 4 = 4x - 4 + 4[/tex]

[tex]28 = 4x[/tex]

Switch sides

[tex]4x = 28[/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{28}{4} \\ [/tex]

[tex]x = 7[/tex]

There you go...

Have a great day ❤

Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.
Can u answer this?

Answers

~fractions

[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]

[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]

[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]

[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]

~ nice to help you ^^

fingernails grow about 0.0123 centimetres per day. write this rate in scientific nation

Answers

Answer:

1.23 x 10^-2

Can anyone help me with this

Answers

Answer:

12

Step-by-step explanation:

Answer:

4

very simple algebric question...hope its help you

PLS HELP ME!!! I really need help with this!!! Pls give me an honest answer my teacher is going to grade this.

Answers

Total length = 111.6 metres
(12.3x7) + 15 + 10.5 = total length

what is the difference of 23xand 9 x​

Answers

Answer:

14x

Step-by-step explanation:

.....................

Find the perimeter.Simplify your answer.

Answers

Answer:

20c+14

Step-by-step explanation:

To find the perimeter we have to add up all the sides

4c+6c+7+4c+6c+7

Combine light terms

20c+14

Answer:

Well your not given C so we just leave that be and we can just add up all 4 sides since perimeter means outside length total. Now when added up,

6c+7+6c+7+4c+4c= 20c+14

20c+14 is the perimeter

72% of 25 students are interested in mathematics how many are not interested in mathematics by moderators. ​

Answers

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

Find the equation of this line. i’m really confused and i really need help.

Answers

Y=-2/5+1 ?I think this is right
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