To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail.
(a) What percent of values must be chopped off from each tail for a 95% confidence interval?
(b) If the bootstrap distribution contains values for 1000 bootstrap samples, how many should be chopped off at each end to produce a 95% confidence interval?

Answers

Answer 1

Answer:

a

 [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

b

  [tex]N = 25[/tex]

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]

=>    [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      [tex]N = 1000 * \frac{\alpha }{2}[/tex]

=>   [tex]N = 1000 * 0.025[/tex]

=>   [tex]N = 25[/tex]

     

Answer 2

Answer:

Step-by-step explanation:

Hey


Related Questions

Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.95, 12.14. If the standard deviation for the above data set is 0.07V, determine whether any values can be rejected. (5 Points)

Answers

Answer:

we can not reject any value

Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval

If we established CI = 95 % then  α = 5 % and  α/2 = 0,025

From data we find the mean of the values

μ₀  = 12,03   and σ = 0,07

From z table we find z score for 0,025 is  z(c) = ± 1,96

So limits of our CI are:

12,03 + 1,96 =  13,99

12,03 - 1,96 = 10,07

And all our values are within  ( 10,07 , 13,99)

So we can not reject any value

Given the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩

Answers

Answer:

the third one

Step-by-step explanation:

jsut took it

Answer:

It’s C

Step-by-step explanation:

Help please math people

Answers

Answer:

-12.50x+350<210

Step-by-step explanation:

which of the following is an equivalent rate to running 5.4 miles in 43.2 minutes?​

Answers

Answer:

3 miles in 24 minutes

Step-by-step explanation:

Divide.
8.43) 12.645
The quotient is

Answers

Answer:

1.5 or 3/2

Step-by-step explanation:

The division results the quotient is 1.5

What is Division?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

Given:

We have to divide 12.645 by 8.43

So,   12.645/8.43

= 12645/ 8430

=           8430 | 12645   | 1 . 5

                         8430

                      -______

                          42150

                          42150

                         _______

                               0  

Hence, the quotient is 1.5.

Learn more about division here:

https://brainly.com/question/21416852

#SPJ5                        

A function is represented by the graph.

Complete the statement by selecting from the drop-down menu.

The y-intercept of the function​ ​y=3x+2​ ​​is
Choose... (less than, Greater than, Equal to)
the y-intercept of the function represented in the graph.

Answers

Answer:

it is equal to

Step-by-step explanation:

took test

Answer:

equal to

Step-by-step explanation:

happy holidays! please help me, it's algebra 2!

Answers

Answer:

Answer Choice B

Step-by-step explanation:

f(x) is just another way of saying y=.

To inverse, just flip the x & y and isolate the y variable.

[tex]x=-y^3-9\\x+9=-y^3\\-x-9=y^3\\\sqrt[3]{-x-9}=y[/tex]

What is the domain of the graph?

Answers

Answer:

domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis

Hope this helps you!

Solve 4x+34 help please

Answers

9514 1404 393

Answer:

  78

Step-by-step explanation:

The base (JL) is twice the length of the midline (MN), so you have ...

  4x +34 = 2(5x -16)

  4x +34 = 10x -32 . . . eliminate parentheses

  66 = 6x . . . . . . . . add 32-4x

  11 = x

Then the length of JL is ...

  4(11) +34 = 78

If anyone understands can you please help me✨‍♀️

Answers

180 mins to walk 12 miles :)

Amy had a $10 monthly fee for music streaming due when she received her paycheck. After paying for the music streaming service, she had $65 remaining from her paycheck. Write and then evaluate a subtraction expression to determine the original value of Amy's paycheck

Answers

Answer:

10+65=75 75-10=65

A subtraction expression to determine the original value of Amy's paycheck is x-10=65.

Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the original value of Amy's paycheck be x

According to the question, x-10=65

⇒ x=$75

Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

what is the product for 1.2×3.5 what is the product of 1.2 times 3.5

Answers

The answer to this problem is .

Look at points C and D on the graph: HOW U PUT A PHOTO :=)

A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

1. 3.01 units.
2. 5.20 units.
3. 6.50 units.
4. 6.71 units.

Answers

Answer:

6.71

Step-by-step explanation:

If you want to put picture i would recommend using your phone to do it. :]

Answer: its 6.71

Step-by-step explanation:

What is the 15th term of the sequence an =
-3n+50
D. 95

Answers

Answer:

= 105

Step-by-step explanation:

Answer:

here ya go

Step-by-step explanation:

a

9

=

105 I think

(16) In 2008, the number tourists visiting France was 7.94 x 1017. The
number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the
number of visitors

Answers

Answer:

3.67 × 10^7

Step-by-step explanation:

Number of tourists visiting France = 7.94 × 10^7Number of tourists visiting Italy = 4.27 × 10^7

The difference:

7.94 × 10^7 - 4.27 × 10^7 =(7.94 - 4.27) × 10^7 =3.67 × 10^7 more visitors in France

If i=sqr-1, what is the value of i^3?
-1
i
1
-i

Answers

Answer:

After solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

Step-by-step explanation:

We are given:

If  [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]

Solving:

[tex]i=\sqrt{-1}[/tex]

Taking cube on both sides

[tex]i^3=(\sqrt{-1})^3\\[/tex]

We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:

[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]

So, after solving we get [tex]\mathbf{i^3=-i}[/tex]

Option D is correct.

How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?
A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.
B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?

Answers

Complete Question

How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?

Exercise 9.53

A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.

B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?

Answer:

The First question

                    [tex] n = 1879  [/tex]

A

    The 96% confidence interval is  

                      [tex]0.51 <  p <  0.63 [/tex]

B

   The possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57 is  

           [tex]E =    0.06 [/tex]

Step-by-step explanation:

From the question we are told that

    The margin of error is  [tex]E = 0.02[/tex]

     The sample size is  n =  200

     The number that supported the annexation suit is  k = 114

Considering the first question

Generally our sample in Exercise 9.53 is  [tex]\^ p = 0.57[/tex]

From the question we are told the confidence level is  96% , hence the level of significance is    

      [tex]\alpha = (100 - 96 ) \%[/tex]

=>   [tex]\alpha = 0.04[/tex]

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

   [tex]Z_{\frac{\alpha }{2} } =  1.751 [/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.751}{0.02 } ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.751}{0.02 } ]^2 * 0.57  (1 -0.57  ) [/tex]

=>  [tex] n = 1879  [/tex]

Considering question B

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>  [tex]E =    1.751 * \sqrt{\frac{ 0.57  (1- 0.57 )}{200} } [/tex]

=>  [tex]E =    0.06 [/tex]

Considering question A

Generally the sample proportion of the number that supported the annexation suit is mathematically represented as

        [tex]\^ p = \frac{114}{200}[/tex]

=>      [tex]\^ p = 0.57[/tex]

Generally 96% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>  [tex]0.57  - 0.06 <  p <  0.57  + 0.06 [/tex]

=>  [tex]0.51 <  p <  0.63 [/tex]

Find the Missing Lengths is the sides.

Answers

Answer:

b

Step-by-step explanation:

If you are buying at item at a store for a price of $72, and there is a 6.2% tax added on top, what would be the total amount due at the register, to the nearest cent?​

Answers

Answer:

Sale Tax($): 4.5

Step-by-step explanation:

Before Tax Price ($):  72

Tax Rate (%): 6.2

Final Price Including Tax ($):  76.46

Sale Tax($): 4.46

Answer:

76.46

Step-by-step explanation:

Martina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?

Answers

Answer: 30%

Step-by-step explanation:

She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.

In which quadrant is x positive and y negative?

Answers

It is quadrant IV (4)

Write an expression that represents the area of
the figure in square centimeters.

HELP ASAP

Answers

Answer:

its either 98 cm or 28 cm

Step-by-step explanation:

7 x 7 = 49 x 2 = 98 cm

14 x 2 = 28

Assuming normality, construct the requested confidence interval.

A sociologist is interested in the age at which a mother has her first child. A random sample of 20 recent births yielded an average maternal age to be 30 years with a standard deviation of 6.2 years.

Construct a 99% confidence interval for the mean age at which a mother has her first child.

Can I have some help with solving this problem with a TI84 calculator?

Answers

Answer:

The appropriate response is "(26.03, 33.97)".

Step-by-step explanation:

The given values are:

Average maternal age,

[tex]\bar{x} = 30[/tex]

Standard deviation,

s = 6.2

Random sample,

n = 20

Now,

The degree of freedom will be:

⇒ [tex]df=n-1[/tex]

        [tex]=20-1[/tex]

        [tex]=19[/tex]

"t" at confidence level 99%, will be:

⇒ [tex]\alpha=1-99 \ percent[/tex]

       [tex]=1-0.99[/tex]

       [tex]=0.01[/tex]

⇒ [tex]\frac{\alpha}{2}=\frac{0.01}{2}[/tex]

       [tex]=0.005[/tex]

⇒ [tex]t\frac{\alpha}{2} \ df=t \ 0.005,19[/tex]

By using the student table, we get

             [tex]=2.86 1[/tex]

The margin of error will be:

⇒ [tex]E=\frac{t \alpha}{2,df\times (\frac{s}{\sqrt{n}})}[/tex]

On substituting the estimated values, we get

⇒     [tex]=2.861\times (\frac{6.2}{\sqrt{20}})[/tex]

⇒     [tex]=3.97[/tex]

At 99%, the confidence level will be:

⇒ [tex]\bar{x}-E< \mu <\bar{x}+E[/tex]

⇒ [tex]30-3.97< \mu < 30+3.97[/tex]

⇒ [tex](26.03,33.97)[/tex]

Thus the above is the correct approach.

Use the order of operations to simplify the following expression.
16+(14-6)x3-62-6
O 18
O None of the other answers are correct
O 78
0 34
O 12

Answers

none of the answers are correct it’s -28
I got -28, so I’m guessing it’s none of the other are are correct.

6th grade math proportionally

Answers

Answer:

9.

Step-by-step explanation:

Hattie is making fruit baskets, which include apples and bananas, to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.

Which system of inequalities can be used to determine the number of apples, x, and bananas, y, that Hattie should include in each basket?

Answers

Answer:

10 apples and 4 bananas

Step-by-step explanation:

x + y> 12. 5 x + 7y <80

Answer:

Step-by-step explanation:

PLEASE HELP!!! TIMED TEST!

Which pair of angles must be supplementary?
1 and 6
2 and 5
5 and 4
6 and 2

Answers

Answer:

ok supplementary angles are two angles when they add up upto 180 degree so angle 2 and 5 make 180 degree .

I don’t understand please help

Answers

y= 4/1 x -9 :) djsjsjdndndndj

Which operation should be done first in the
expression below?
(2 + 2) * 3 - 1-4

Answers

the (2x2) should be done first

Answer:

7

Step-by-step explanation:

PEMDAS

First we do the parenthesis, then we multiply and then we subtract (left to right)

= (2+2) * 3 - 1 - 4

= 4 * 3 - 1 -4

= 12 - 1 -4

= 12

How many even numbers are between 1 and 30. My head hurts thanks

Answers

Answer:

15

Step-by-step explanation:

2

4

6

8

10

there are 5 between 1-10

so 3*5=15 between 1-30

Answer:

15

Step-by-step explanation:

my head hurts too

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