Answer the following questions about confidence intervals.
(a) What happens to a confidence interval as sample size​increases, assuming everything else stays the​ same?
The width of the interval​ decreases, since the standard error decreases.The center of the interval​ decreases, since the standard error increases. The center of the interval​increases, since the standard error decreases.The width of the interval​ increases, since the standard error increases.
(b) If we want to use a larger confidence level when creating a confidence interval for a population​ mean, which of the following happens to our confidence​ interval?
The interval gets​ wider, since the standard error decreases.The interval gets​ narrower, since the​ t-value required to capture a larger proportion of the sampling distribution of the sample mean gets smaller. The interval gets​ narrower, since the standard error decreases.The interval gets​ wider, since the​ t-value required to capture a larger proportion of the sampling distribution of the sample mean gets larger.
(c) What does the margin of error in a confidence interval for a population mean​ describe?
It describes the difference between the sample mean and the population mean due to calculation errors by the researchers. It describes the difference between the sample mean and the population mean. Due to the random sampling​ method, different sample means will be different. It describes the difference between the sample mean and the population​ mean, due to taking​ non-random samples involving voluntary response or convenience sampling.It describes how often researchers make a mistake due to response bias or​ non-response bias.
(d) Why do we use a z-score from a normal distribution in constructing large-sample confidence intervals for a proportion?
For large random samples the data distribution is approximately normal.For any n we use the​ t-distribution to get a confidence​interval, and for large n the​ t-distribution looks like the standard normal distribution. For large random samples the sampling distribution of the sample proportion is approximately normal.The population distribution is normal for large samples.
(e) True or false: The confidence interval for a mean with a random sample of size n​ = 2000 is invalid if the population distribution is bimodal.
TrueFalse

Answers

Answer 1

Answer:

the options are not numbered so I have added each of the correct answers under their corresponding question number. the answers in bold letters are right options from the question.

Step-by-step explanation:

a.)

the width of the interval decreases, since the standard error decreases. this is the answer to this question. this happens to a confidence interval as the sample size gets increased. that is if every other thing remains the same.

b.

the answer to this question is that the interval gets wider since the t value required to Capture a larger proportion of the sampling distribution of the sample mean gets larger. so the last option is the answer to the question.

c.

the margin of error shows the degree of random sampling error that is in the result of a survey. the correct answer to this question is this:

in a confidence interval for a population mean, the margin of error describes the difference between the sample mean and the population mean. Due to the random sampling method, different sample means will be different.

d.

regarding this question, we use a z score because:

For large random samples the sampling distribution of the sample proportion is approximately normal.

e.

the answer to this is false.

thank you!


Related Questions

what is 1/10 of 0.02

Answers

Answer:

0.002

Step-by-step explanation:

You just move the decimal over one place. This is the same as dividing by 10. Hope this helps!

Read the excerpt from "Myths About the Founding Fathers This is the truth Revere did ride from Boston to Lexington to warn Hancock and Adams, but he didn't go alone William Dawes took a different route to Lexington, joining Revere and Dr. Samuel Prescott. All three had been spreading the word that the regulars are coming along the way. There may have been as many as forty others who helped.

How do these sentences contribute to the development of ideas in the passage?

It explains how myths about Paul Revere came to

It highlights the importance of lessons to be learned from myths

It provides evidence that Revere's actions were exaggerated in myths

It shows that this are often based on real events​

Answers

Answer: it shows that myths are often based on real events. Hope it helps

Step-by-step explanation:

i took the test on the k-12 site and the was the answer cuz i got it correct.

AABC~ AQRS
Find the missing side length, m.
AR
В B.
h 7.2.
6
10
12.
А.
"C с
3
m
S
ol

Answers

Find the scale factor then multiply 3 by scale factor to find m. Scale factor is found by dividing larger side by smaller side. In this example, divide 10 by 6. (10 / 6 = 1.66666...) This means the larger triangle is 1.6x bigger than the smaller one. Then multiply 3 by 1.6666.. to find m. Hope this helps! :)


Btw your answer would be m = 5 but I didn’t want to give that away right away.

write an equation that passes through points (-6,1) (4,3)

Answers

[tex]y=mx+b[/tex]

First, we find the slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{3-1}{4+6} \\m=\frac{2}{10}\\m=\frac{1}{5}[/tex]

Second, we know the slope. Substitute any ordered pairs that are given in the equation.

[tex]y=mx+b\\y=\frac{1}{5}x+b\\[/tex]

I'll use the ordered pairs (4,3) as I substitute x = 4 and y = 3.

[tex]3=\frac{1}{5}(4)+b\\3=\frac{4}{5}+b\\15=4+5b\\15-4=5b\\11=5b\\\frac{11}{5}=b[/tex]

Therefore, the equation is [tex]y=\frac{1}{5}x+\frac{11}{5}[/tex]

{ first 6 square numbers}​

Answers

Answer:

{ 1, 4, 9 , 16 , 25, 36}

Step-by-step explanation:

hope that will help you

how do I solve this triangle problem!!!​

Answers

Answer:

Angles 1 and 2 are both 60, and angle 3 is 120

Step-by-step explanation:

Answer:

The total if a triangle is 180, for a right angle so 180 subtract the number u have and 90 plus the number u have and the number u got

A high school is designing a new football field. The field is 125 meters long including the end zones. If 1 meter = 3.2 feet, how long in feet, is the length of the football field

Answers

The length of the football field is exactly 400 feet.

Answer:

its is 400 guys

Step-by-step explanation:

I took the test

Hadley paddled a canoe 2 miles in 1/9 of
an hour How far could Hadley paddle in
1 hour?

Answers

Answer: 18 miles

explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.

Mai and Noah each leave their houses at the same time and ride their bikes to the park.

Here are the equations that you found that might help you:
_____________________________________________

Noah -> $$
and $$

Mai -> $$
and $$
______________________________________________
How long in minutes will it take Noah to reach the park?
How long in minutes will it take Mai to reach the park?
Who will arrive at the park first?

Noah
Mai

Answers

Answer : I think it’s Noah
But I might be wrong

I need to find the slope.​

Answers

Answer:

The slope is 3/2

Answer :
3/2

Rise 3
Run 2

What is the percentage of y=2200(1.074)^x

Answers

7.4% percentage rate of change
7.4% should be the answer!

$600 7) Nika puts 42 beads in each necklace. Which is the best way to use rounding numbers to estimate the number of beads Nika needs for 2 necklaces? 25 x 45 O 30 x 30 O 20 x 40 O 30 x 40​

Answers

Answer:

20 X 40 = 800 (split into 2 fourths) = 40

Step-by-step explanation

20 x 40 = 800;

For 2 necklaces she can split 800 into fourths.

800 - 40 = 80. (1 fourth)

80 - 40 = 40 (2 fourths)

40 - 40 = 0 (3 fourths)

She could split 800 into 2 fourths to get a number more than 0 and less then 42.

The best estimate of rounding 42 is 40. Because 40 is closer to 42.

A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are normally distributed with a standard deviation of $30,000, determine the 90% confidence interval estimate of the mean annual income of all company presidents. Interpret the statistical results.

Answers

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

[tex]n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%[/tex]

The critical value of z for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)[/tex]

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

ljfehhgsdddzcSDJCHjgsDdlhfcgadscbsdhcSDMlnSBDZx

Answers

Answer:

?

Step-by-step explanation:

Which is a vertical pair of angles?

Answers

Answer:

B.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Determine the slope of the line passing through the points (5, 8) and (-3, 10).

1. -1/2
2. -1/4
3. 1/2
4. -4

Answers

Answer:

The answer is option 2

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{10 - 8}{ - 3 - 5} = \frac{2}{ - 8} = - \frac{2}{8} = - \frac{1}{4} \\ [/tex]

We have the final answer as

[tex] - \frac{1}{4} \\ [/tex]

Hope this helps you

Answer:

-1/4. ..................,..

Find the amplitude of y = -4 sin x.
a
4

b
pi/4

c
-4π

d

Answers

Answer:
4
Explanation:
The amplitude of a sine function is the absolute value of the coefficient of sin(in other words, the absolute value of the number multiplying the sin)
In this case, that is |-4|=4

Please help, I can't fail this

Answers

Answer:

The answer is 2143.57 cm³

Step-by-step explanation:

Volume of a sphere can be found by using the formula

[tex]v = \frac{4}{3} \pi {r}^{3} \\ [/tex]

r is the radius

From the question we have

[tex]v = \frac{4}{3} \times 3.14 \times {8}^{3} \\ = \frac{4}{3} \times 3.14 \times 512 \\ = 2143.57333..[/tex]

We have the final answer as

2143.57 cm³

Hope this helps you

28 divided by a number s

Answers

Answer:

28/s

Step-by-step explanation:

I assume that you are wanting an algebraic expression written. if not, please let me know!

When we divide numbers by each other, we write them as a fraction, the number being divided over the number it's divided by. in this case, the number we're dividing is 28, and the number we're dividing it by an unknown factor s.

Hi ZVAID!! The answer is if you’re looking for the quotient then the answer is 28/s=x, x being the variable in the problem. Hope this helps. And I just want to say thank you for your help. On my question.

Graph the lines in standard form 2x+y=9

Answers

Answer:

to graph this all you need to do is plot the y-intercerpt which is 9 in this case. then use the slop (-2) which means go two down from the y intercept and one to the right. all you need to do then is connect the points with a line.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator produces a graph very nicely.

__

Setting x=0, you have the equation y=9, so you know the y-intercept.

Setting y=0, you have the equation 2x=9, so you know the x-intercept is 9/2 = 4.5. It can be easier to set y=1 to find the corresponding point x=(9-1)/2 = 4.

Through the points (0, 9) and (4, 1), you can draw the line representing the relation.

if i watch the Simpsons 1 time to day and two times tomato how many times did i watch the Simpsons 100 points go check out (joey trap)

Answers

2 times i think haha

On a map, 12 inch represents 45 mile.

What distance on the map represents 1 mile?


​ 25 ​ in.

​ 58 ​ in.

​ 135 ​ in.

​​ 212 ​ in.


I'll give brainlyest.

Answers

Answer:  5/8 inch represents 1 mile

Step-by-step explanation:

to get 1, multiply 4/5 by its reciprocal, 5/4

Then multiply 1/2 by 5/4

1/2 × 5/4 = 5/8

Answer: The correct answer is 5/8

Step-by-step explanation: Answer verified as correct on test

Ann and Bob split some money in the ratio 4:2. Ann got £4 more than Bob. How much did Bob get?​

Answers

Answer:

$4

Step-by-step explanation:

A 4:2 ratio is the same as a 2:1 ratio, so Ann receives double what Bob gets.

If Ann gets 8 dollars and Bob gets 4, then Ann would have $4 more than Bob, and it would follow the appropriate ratio.

find the third side in simplest radical form.

Answers

Answer: i like hot dogs

Step-by-step explanation: real good

Answer:

C=11.3

Step-by-step explanation:

8(2)+8(2)=C(2)

8×8=64 8×8=64

64+64=128

128=C(2)

On the caculator press 2nd then x2 then add in 128.

11.31=11.3

C=11.3

Find the value of x
(8x - 23)
34

Answers

Answer: 12

34 + 2(8x -23) = 180
34 + 16x - 46 = 180
16x = 180 + 46 - 34
16x = 192
x = 12

In the given triangle, the value of x is 12.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the all three angles of a triangle is always 180°

In the given Triangle ABC,

AB= AC,

∠A = 34° and ∠C = (8x-23)°

Since, two sides of a triangle are equal, therefore their corresponding angle will be equal,

Implies that ∠C=∠B

The sum of all three angles of a triangle is 180°.

⇒∠A+∠B+∠C = 180°

⇒34+8x-23+8x-23 = 180

⇒16x-12=180

⇒16x=192

⇒x=12

The value of x is 12.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

Round 2,795 to the nearest ten

Answers

Answer:

2,800

Step-by-step explanation:

Answer:

2,800

Step-by-step explanation:

95 rounded up is 100

so its 2,800

Geometry
What is the range of possible values for x? The diagram is not to scale.

Answers

Where is the diagram? How do we answer without it?

A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W

Answers

Answer:

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Step-by-step explanation:

From Physics we understand that conversions are represented by the following linear equation:

[tex]u' = r\cdot u[/tex] (1)

Where:

[tex]u[/tex] - Original value, measured in original unit. (pounds)

[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)

[tex]u'[/tex] - Final value, measured in final unit. (gallons)

If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:

[tex]A = \frac{W}{8.34}[/tex]

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

a dolphin in a aquaruim is 12 feet long. A scale model of the dolphin is 3 1/2 in long. What is the scale factor of the model

Answers

Answer:The scale factor= 1 : 41.14

Step-by-step explanation:

I did research on it

1.)How many people chose superman or thor?
2.) How many people chose Thor than The Hulk?
3.) How many more people chose Thor than Batman?​

Answers

Answer:

40% chose superman or thor

8% chose thor more than hulk

And 12% chose batman than Thor

Answer:

1) 40% of people chose Superman or Thor

2) 8% more people chose Thor than The Hulk

3)  15% more people chose Thor than Batman

Step-by-step explanation:

29 + 11 + 13 + 13 + 21 = 86

100 - 86 = 14

Batman: 14%

29 + 11 = 40

29 - 21 = 8

29 - 14 = 15

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