Select the true statement about the relationship between sample size and the standard deviation of distribution of sample means, also known as the standard error.

a. As sample size increases, standard error increases.
b. Sample size does not have an impact on standard error.
c. As sample size increases, standard error decreases.
d. As sample size decreases, standard error decreases.

Answers

Answer 1

Answer:

c. As sample size increases, standard error decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Thus:

The standard error is inversely proportional to the square root of the sample size, that is, as the sample size increases, the standard error decreases, and the correct answer is given by option c.


Related Questions

How much would nick have over the span of 20 years if he put $1000 in his savings account with 10% of simple interest

Answers

Step-by-step explanation:

use the simple interest formula

What is the value of X?

Answers

Answer:

The answer is 46'

Step-by-step explanation:

The first triangle is:85'+53'+Y=180' so y=42'

The second triangle with X is:92+42'+X=180' so X=46'

the answer is 46

nmwmemdmenmrmrnrf

If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?

Answers

Answer:

The value of h(g(3)) is 17.

Step-by-step explanation:

We are given these following functions:

[tex]g(x) = x^2 - 5[/tex]

[tex]h(x) = 7x - 11[/tex]

h(g(3)) ?

[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]

At x = 3

[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].

The value of h(g(3)) is 17.

Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10​

Answers

Answer:

[tex]{ \tt{3 \frac{4}{9} \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{31}{12} ) + \frac{59}{10} }} \\ \\ { \tt{ = \frac{4}{3} + \frac{59}{10} }} \\ \\ { \bf{ = \frac{217}{30} }} \\ \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\ \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}[/tex]

Answer:

[tex]7 \frac{7}{30}[/tex]

Step-by-step explanation:

[tex]3 \frac{4}{9} \div ( 5\frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}\\\\\frac{31}{9} \div (\frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} \\\\\\Solving \ using \ BODMAS\\\\First \ Solve \ expression \ inside \ Bracket \\\\\frac{31}{9} \div (\frac{(16 \times 4) - ( 11 \times 3)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div (\frac{64- 33)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div \frac{31}{12} + \frac{59}{10} \\\\\\ \\\\\\Next \ solve \ Dvision \\\\\frac{\frac{31}{9}}{\frac{31}{12}} + \frac{59}{10}\\\\[/tex]

[tex](\frac{31}{9}} \times {\frac{12}{31}) + \frac{59}{10}[/tex]

[tex]\frac{4}{3} + \frac{59}{10}\\\\ Now \ solve \ final \ expression \\\\\\\frac{(4 \times 10) + ( 59 \times 3)}{30}\\\\\frac{40 + 177}{30}\\\\\frac{217}{30}\\\\7 \frac{7}{30}[/tex]

HELP HELPP PLS QUICK

Answers

The correct answer should be C

A person must score in the upper of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. If IQ scores are normally distributed with a mean of and a standard deviation of , what score must a person have to qualify for Mensa (to whole number)

Answers

Answer:

The person must score at least [tex]X = \mu + Z\sigma[/tex], in which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score, [tex]\mu[/tex] is the mean IQ score for the population and [tex]\sigma[/tex] is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]

What score must a person have to qualify for Mensa?

Score of at least X, given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]X - \mu = Z\sigma[/tex]

[tex]X = \mu + Z\sigma[/tex]

In which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score.

please help. no links!

Answers

Answer:

I think B

Step-by-step explanation:

121.346° is more close to 121.3°, than 121.4°

if i'm wrong, the i'm sorry

Sam asks five of his friends in his accelerated ELA class.
He finds that the average number of books read for this sample was 6.
Give two reasons why this sample might not be representative of the population that Sam is
trying to study

Answers

Answer:

1) Sam only interviewed five people out of his entire ELA class, so he doesn't have a very wide demographic to study

2) All of these people were Sam's friends, so they might all have similar interests or only enjoy certain things, and that doesn't allow for a wide range of data collection

Sample is too small (5 isn’t representative of his whole ELA class)

Sample isn’t representative as he only asks his friends (bias may be shown as Sam may know that his friends r avid or lazy readers). Not proportionate to the whole ELA class

can someone answer this please

Answers

Area is trapezium =
A=1/2h(a+b)

84=1/2(6)(7+b)

84=3(7+b)

84=21+3b

3b=84-21

B=63/3

B= 21 cm

I’m sorry if my answer turned out to be wrong but I tried my best so best of luck !!

Answer:

x = 14

Step-by-step explanation:

Please note, the word trapezium is a synonym for the word trapezoid.

This problem gives one the area of the trapezoid, a well as one of the measurements of a base and the height of the figure. One is asked to find the length of the other base. This can be done by using the formula to find the area of a trapezoid. This formula is the following,

[tex]A=(h)(\frac{b_1+b_2}{2})[/tex]

Where (A) represents the area of a trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represents the bases and (h) represents the height. Substitute in the given values and solve for the unknown base.

[tex]b_1=7\\h=6\\A=84[/tex]

[tex]A=(h)(\frac{b_1+b_2}{2})\\[/tex]

Substitute,

[tex]84=6(\frac{7+b_2}{2})\\[/tex]

Inverse operations,

[tex]84=6(\frac{7+b_2}{2})[/tex]

[tex]14=\frac{7+b_2}{2}[/tex]

[tex]28=7+b_2[/tex]

[tex]14=b_2[/tex]

A store donated a percent of every sale to charity The total sales were ​$9,850 so the store donated ​$591. What percent of ​$9,850 was donated?

I need the answer asap!

Answers

Answer:

Well, 10% of 6640 is $664, and $332 is half of that, so 5%

Missing: ​$9850 ‎​$591.

Step-by-step explanation:

Answer:

espero ayudarte ..............

CPU connect to matherbosrd is through_
Dimm slots
Sicket
PCI slots
CBU

Answers

Answer:

I think the answer for this is the Dimm slots

x+y=13
2x-y=5

solve using any method

Answers

Answer:

x = 6 , y = 7

Step-by-step explanation:

solving  by substitution method

x + y = 13

x = 13 - y                          equation (i)

2x - y = 5

substitute the value of x

2(13 - y) - y = 5

26 - 2y - y = 5

26 - 3y = 5

26 - 5 = 3y

21/3 = y

7 = y

substitute the value of y in equation (i)

x = 13 - y

x = 13 - 7

x = 6

Which of the following is most likely the next step in the series?

Answers

Answer:

B

Step-by-step explanation:

Hi there!

TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.

For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.

For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.

For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.

For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.

I hope this helps!

How would write 0.5, 0.65, 2.35, and 1.06 in expanded forms

Answers

Can add da da ax casaz

Answer:

0 + 0.5, 0 + 0.6 + 0.05, 2 + 0.3 + 0.05, 1 + 0.06

Step-by-step explanation:

expanded form is just taking the number apart from ones to tenths to hundreds and so on, or from ones to tens to hundreds and then so on. then you just split it and put the numbers in added form.

if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240​

Answers

Answer:

C. b²< 40

Step-by-step explanation:

2x²+ bx + 5=0 has no real solutions

=> D< 0

b² < 4ac

b²< 4(2)(5)

b²< 40

Help with number 4 I'm stuck on this algebra test with my kid and neither of us understand it

Answers

Answer:

a) x = 4

b) x = 8

c) y = -7

d) y = -10

Step-by-step explanation:

Solve by substitution on all

a)

3x + 2y = -5

3x +2 * -17/2 = -5

3x - 17 = -5

3x = -5+17

3x = 12

x = 12/3

x = 4

i need help, this is for a final

Answers

Step-by-step explanation:

Since the two triangles are similar

Then the ratio of sides are equal

Then MK:ML =JH:JI

Sub in this and you will get x =64.1

How many rows of seats are needed to seat 673 people at a concert when the rows seat 37 people each?

Answers

Answer:

18.189 rows

Step-by-step explanation:

673 / 37 = 18.189189189

Hope this helps!

Which fraction is represented by point A on the number line?
0
А
-0 -1
о
IT
os
O 1

Answers

The answer is the third choice: -1/4.
Here’s why: if you count from 0 to 1 or -1, it’s 4 steps. That means the fraction would have a denominator of 4, if there were 5 parts, then the denominator would be 5...and so on. The numerator is 1 because 0 to the point is 1 step. But now why negative? Because everything to the left of 0 on the number line will be negative, everything right of 0 on the number line will be positive.
Hope this also helped you to understand for future problems like this.

I’ll give brainliest

Answers

Answer:

y = 1.19x

Step-by-step explanation:

y is the dependent variable (total cost)

x is the independent variable (number of pounds)

Deandra traded $2800 for Swiss francs, immediately changed her mind, and
then promptly traded her Swiss francs back into dollars. Which of these
amounts is she most likely to have?
A. More than $0 but less than $2800
B. $0
C. $2800
D. More than $2800
SUBMIT

Answers

Answer:

A

Step-by-step explanation:

More than $0 but less than $2800

The correct option is (A).

What is data?

Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.

Given:

Deandra traded $2800 for Swiss francs.

So, she would have More than $0 but less than $2800.

This is because she will not get the same amount back she has only has more than 0 and less than 2800.

Learn more about data here:

https://brainly.com/question/10980404

#SPJ2

If the length of EG is 22, find the length of a EQ

Answers

Answer:

A. 11

Step-by-step explanation:

EQ is half of EG

so 22/2 = 11

EQ is 11 cause EG is a segment that has a measure of 22 and EQ is half of EG as shown is the diagram and in order to get 11 , you would do 22/2.

ANSWER: 11

What is m∠CDE? pls help

Answers

Answer:

68

Step-by-step explanation:

∠ACB = ∠DCE

          = 180-92/2

          =44

∠CDE = 180 - 44 / 2

         68

Solve x2+y3 = 1 for x.

Answers

Answer:

x = 3 + 2y

Step-by-step explanation:

x - 2y = 3 ( Isolate x on the left side by adding 2y to both sides )

x = 3 + 2y

Step-by-step explanation:

Step 1: Add -y^3 to both sides.

y3+x2+−y3=1+−y3

x2=−y3+1

Step 2: Take square root.

x=√−y3+1 or x=−√−y3+1

Answer:

x=√−y3+1  or  x=−√−y3+1

(I think this is right) (tell me if im right plz and thx)


Using only an addition, how do you add eight 8’s and get the number 1000?​

Answers

Answer:

        8

        8

        8

   8   8

8  8  8

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

1   0   0  0

Step-by-step explanation:

example of expressions to represent length and width

Answers

Answer:

lxwxh

Step-by-step explanation:

Length x width x height

please answer this , like ASAP

Answers

Answer:

let total be U and strawberry be S and.apple be A .

now

n[U]=200

n[S]=56% 0f 200=112

n[A]=44%of 200=88

n[A n S]=30%of 200=60

now

[tex] \bar {A U S}=?[/tex]

we have

n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]

[tex] \bar{A U S}[/tex]=200-112-88+60=60

option C. 60 is a required answer.

Hope this help!!!

Have a nice day!!!

The rule as a mapping for the translation of a rectangle is (x, y) = (x - 2, y + 7). Which describes this translation?
O a translation of 2 units down and 7 units to the right
O a translation


of 2 units down and 7 units to the left
O a translation of 2 units to the right and 7 units up
O a translation of 2 units to the left and 7 units up
Mark this and retum

Answers

Answer:

a translation of 2 units to the left and 7 units up

Step-by-step explanation:

Translation of points (x,y)

At point x, the function can be translated to the left or to the right.

(x-a) is the translation of the point a units to the left, and (x+a) is the translation of the point a units to the right.

At point x, the function can be translated up or down. y+a represents a shift of a units up, and y-a represents a shift of a units down.

(x, y) = (x - 2, y + 7)

x - 2: 2 units to the left.

y + 7: 7 units up

So the fouth option is correct.

Customers at a restaurant can build their own burrito by choosing one item from each category shown in the table.

Answers

Answer:

E

Step-by-step explanation:

Beans: 2 possibilities

Meat: 3 possibilities

Vegetables: 4 posibilities

Toppings: 4 possibilities

Then mulltiply the numbers:

2 x 3 x 4 x 4 which equals 96

Andy is comparing how long two tablets can be used after being fully charged.
-
Tablet A Tablet B
(minutes) (minutes)
540
593
Mean
Median
580
589
NOR
21
13
MAD
6
2

Answers

Answer:

Part A: On average Tablet B's battery will last longer.

Part B: The MAD is lower in tablet B's battery life so Tablet B is more consistent.

Step-by-step explanation:

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