When using a one-sample t-procedure to construct a confidence interval for the mean of a finite population, a condition is that the population size be at least 10 times the sample size. The reason for the condition is to ensure that the sample size is large enough the sample size is large enough A the central limit theorem is applicable for the sample mean the central limit theorem is applicable for the sample mean B the sample standard deviation is a good approximation of the population standard deviation the sample standard deviation is a good approximation of the population standard deviation C the degree of dependence among observations is negligible the degree of dependence among observations is negligible D the sampling method is not biased

Answers

Answer 1

Answer:

C. The degree of dependence among the observation is negligible.

Step-by-step explanation:

The conditions for performing a t-procedure when constructing a t-interval are;

1) The samples observation should be independent of each other

2) The use of a random sample or experiment for the procedure

3) Ensure the normality of the data of the dependent variable

Given that surveys usually involve sampling without replacement from a population which is finite can not be taken as independent Bernoulli trials however, it is allowable to still consider samples independent when they are less than 10% the size of population

Therefore, the reason for the condition is to ensure that the population to sample size ratio is large enough and that the degree of dependence among the observation is negligible.


Related Questions

Question 1 of 5 A home has an original value of $249,000. Each year, the value of the home decreases by 7.1%. Select the equation that models the situation after t years. V = 249,000(1.071)t V = 249,000(0.929)t V = 249,000(0.071)t V = 249,000(0.29)t

Answers

Answer:

V = 249,000(0.929)^t

Step-by-step explanation:

100% - 7.1% = 92.9% = 0.929

0.929 must be raised to t, the number of years.

V = 249,000(0.929)^t

Gavin is 5 years older than David. Bridget is 4 years younger than David. If the total of their ages is 61, how old is the youngest of them?

Answers

Answer:

I belive the awnser is 16

Step-by-step explanation:

Can someone pls give me the answer for this?

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. -1/2

Step-by-step explanation:

See picture

- The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game rented. The Game Bank charges an annual fee of $17 plus $2.50 per game rented.

Write an equation in y=mx+b form describing the total cost to rent x games at each store.
Fun Guys:
Game Bank: ​

Answers

Fun guys: 5.50x + 5
Game Bank: 2.50x + 17

PLEASE PLEASE ANSWER THIS WILL GIVE BRAINLY

Answers

I think the answer is B but I’m not sure. If it’s wrong, so sorry.

Write the following expression using symbolic language.
1) Five less than the product of seven and a number x
2) The difference of nine times a number y and eighteen
3) Half a number n increased by four times the number
4) Twice the sum of a number w cubed and twenty-three

Answers

Answer:

1) 7+x-5

2)9y-18

3)(n/2)(4n)

2(w^3+23)

Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1). What are the coordinates of point S'? (2, 1) (1, –2) (–1, –2) (2, –1)

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Given

[tex]Q =(-4,1)[/tex]

[tex]R = (-4,4)[/tex]

[tex]S = (2,1)[/tex]

180 degrees rotation

Required

Determine the coordinate point S'

For a 180-degree rotation, the transformation rule is: (x, y) to (-x, -y)

So:

[tex]S = (2,1)[/tex] ==> [tex]S' = (-2,-1)[/tex]

Hence, the coordinate point of S' is (-2,-1)

Answer:

1,-2 did it right

Step-by-step explanation:

This system of linear inequalities can be used to find the possible heights, in inches, of Darius, d, and his brother William, w.

d ≥ 36

w < 68

d ≤ 4 + 2w

Which statements must be true about their heights? Select three options.

Darius is at least 36 inches tall.
Darius is at most 36 inches tall.
William’s height is less than 68 inches.
William’s height is at least 68 inches.
Darius is less than 4 inches taller than twice William’s height.
Darius is no more than 4 inches taller than twice William’s height.

Answers

Answer: A, C, F

(A) Darius is at least 36 inches tall.

(C) William’s height is less than 68 inches.

(F) Darius is no more than 4 inches taller than twice William’s height.

Step-by-step explanation:

edge2022

The inequality w < 68 can be written as William’s height is less than 68 inches.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, d ≥ 36, w < 68 and d ≤ 4 + 2w.

Atleast means all probabilities larger than the given probability ('at least') Atmost means all probabilities smaller than the given probability ('at most')

Here, d ≥ 36

Darius is at least 36 inches tall.

w < 68

William’s height is less than 68 inches.

d ≤ 4 + 2w

Darius is no more than 4 inches taller than twice William’s height.

Therefore, the inequality w < 68 can be written as William’s height is less than 68 inches.

To learn more about the inequalities visit:

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What is the measure of E in degrees?

Answers

Answer:

c

Step-by-step explanation:

E=10×10+25

but solve it to make sure

the answer is 130° a p e x

Mary spent $45 at the mall. She bought lunch for $9 . She bought 3 shirts at x dollars
each. Which of the following equations could be used to find x ?

Answers

Answer:

3x + 9 = 45

Step-by-step explanation:

3 shirts at x dollars each cost 3x

lunch costs 9

altogether she spent 3x + 9

she spent 45

3x + 9 = 45

how to solve 5x+20=5

Answers

Answer:

x= -3

Step-by-step explanation:

if u want explain let me know

Answer:

x = -3

Step-by-step explanation:

5x + 20 = 5

Subtract 20 from both sides

5x + 20 - 20 = 5 -20

{If two numbers have different sign, subtract and the result will have the sign of the bigger number. 20 -5 = 15, bigger number is 20, so -15}

              5x  = - 15

Divide both sides by 5

              5x/5 = -15/5

x = - 3

how do i find the x and y intercepts of x+y-5=0

Answers

Answer:

To find x intercept. Substitute y=0 in the given equation, and solve for x . x−0=5. x=5. Therefore, x intercept =(5,0)

To find y intercept. Substitute x=0 in the given equation, and solve for y . 0−y=5. y=−5. Therefore, y intercept =(0,−5)

Step-by-step explanation:

Answer:

y intercept = -5

x intercept cordinate= (5,0)

Step-by-step explanation:

If triangle ABC triangle EDF , what is the perimeter of triangle EDF ?

Answers

Answer:

I'm guessing 25.

Step-by-step explanation:

i don't know the relation between those two triangles, but they look like they're congruent so the side lengths would be the same and 3+12+10=25

Identify the error in the student solution shown below. Find the correct answer

Answers

Answer:

question please can't see any question

what is the price of 6000 brick if the price of 1000 brick is rs 3500 pls give me properly ans​

Answers

Answer:

Step-by-step explanation:

Price of 1000 bricks = Rs. 3500

Price of 1 brick = 3500 / 1000

                        = Rs. 3.5

Price of 6000 bricks = Rs. 3.5 * 6000

                                 = Rs. 21000

Hope it will help :)

Step-by-step explanation:

let the bricks be x

Bricks

6000 x

1000 3500

3500×6000=1000×x

21000000/1000=X

21000 Answer

Find the area of the following
parallelogram:
5 cm
8 cm
7.5 cm
A= [?] cm?
Enter the exact answer as a decimal.

Answers

Answer:

37.5

Step-by-step explanation:

how do you graph x≤−5 on a number line??

Answers

u put the FILLED IN circle on top of the -5 with the arrow going left

Answer:

Step-by-step explanation:

x ≤ −5 means that x is less than or equal to -5, which means that -5 is a close circle.

Please answer quickly thank you!

Answers

the answer would be the 2nd bubble:)

Help me it due 30 minutes
Estimate each product

1/5x22

Answers

Answer:

I say its 4.4

Step-by-step explanation:

You are planning a flower garden consisting of three square plots surrounded by a 1-ft border. The total area of the garden is 150 ft^2. What is the side length x of each plot

Answers

Answer:

56

Step-by-step explanation:

56 is the answer

Can someone help me on this it’s been giving me a hard time

Answers

Given:

QRST is an isosceles trapezoid with RS||QT.

To find:

The value of x, angle R and angle T.

Solution:

If a transversal line intersect two parallel lines then the sum of same sides interior angles is 180 degrees.

[tex]m\angle Q+m\angle R=180[/tex]

[tex](6x-22)+(8x+34)=180[/tex]

[tex]14x+12=180[/tex]

[tex]14x=180-12[/tex]

[tex]14x=168[/tex]

Divide both sides by 14.

[tex]x=\dfrac{168}{14}[/tex]

[tex]x=12[/tex]

Now,

[tex]m\angle R=(8x+34)^\circ[/tex]

[tex]m\angle R=(8(12)+34)^\circ[/tex]

[tex]m\angle R=(96+34)^\circ[/tex]

[tex]m\angle R=130^\circ[/tex]

We know that the base angles of an isosceles triangle are equal.

[tex]m\angle T=m\angle Q=(6x-22)^\circ[/tex]

[tex]m\angle T=(6(12)-22)^\circ[/tex]

[tex]m\angle T=(72-22)^\circ[/tex]

[tex]m\angle T=50^\circ[/tex]

Therefore, [tex]x=12,\ m\angle R=130^\circ[/tex] and [tex]m\angle T=50^\circ[/tex].

An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?

Answers

Answer:

66°

Step-by-step explanation:

Given that :

Right angle measure of a triangle are used in a design :

A right angles triangle has one of its angle equals 90 ;a

Since the second angle is given as 24 ; b

The measure of the third angle ; c will be :

Sum of angles in a triangle = 180

(a + b + c) = 180

(90 + 24 + c) = 180

c = 180 - 114

c = 66°

Find the product of 0.75 x 2.1

Answers

Answer:

1.575

Step-by-step explanation:

0.75 x 2.1 = 1.575

Hope that helps!

Answer:

1.575

Step-by-step explanation:

What is the equation of the line?

Answers

Answer:

y = -7

Step-by-step explanation:

This line is a horizontal line [HOY] - horizontal, 0 slope, and the equation starts with y = ___ , since it crosses at -7, then the line is y = -7

can you help me with 5

Answers

9514 1404 393

Answer:

  see below for the graph

Step-by-step explanation:

We can specify the location of the minimum and the axis of symmetry using the vertex form of the quadratic equation:

  y = a(x -h)² +k . . . . . . . vertex (h, k); scale factor 'a'

We can put the given values into the equation to see what 'a' needs to be to make the function have the desired y-intercept.

  -3 = a(0 -(-2))² +(-5)

  2 = 4a . . . . add 5 and simplify

  a = 1/2 . . . . divide by 4

The equation for the desired function can be ...

  y = 1/2(x +2)² -5

I'm honestly sorry that I'm asking so many questions.
Solve for X in the Diagram.

Answers

Answer:

[tex]\Huge\boxed{x=8}[/tex]

Step-by-step explanation:

Hello There!

Remember the sum of all of the angles in a triangle is 180

so we can use this equation to solve for x

180 = 50 + 60 + 8x + 6

now we solve for x

step 1 combine like terms

50 + 60 + 6 = 116

now we have

180=8x+116

step 2 subtract 116 from each side

116 - 116 cancels out

180 - 116  = 64

now we have

8x = 64

step 3 divide each side by 8

8x/8=x

64/8=8

we're left with x = 8

PLZ HELP ME LOL


A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning

Answers

40/7.50=5.33
So Diego can buy 5 pizzas with a little money left over.

given right triangle abc and sin A= 1/2, cos A = √3/2

Answers

Answer:

true

Step-by-step explanation:

sinA² + cosA²=1

⇔(1/2)² + cosA²=1

⇔cosA=±(√3/2)

Yes, the triangle is a right triangle.

What is a right triangle?

A triangle is called a right triangle if it has an angle measuring 90°.

Given that in a triangle if Sin A = 1/2 and Cos A = √3/2, then the triangle is a right triangle,

So,

Sin A = 1/2

Sin A = Sin 60°

A = 60°

Also, we know that the sine and cosine of an angle is complementary,

So,

Sin A = Cos (90-A)

Therefore, Cos(90-30)° = Cos 30° = √3/2

Therefore, ABC is a right triangle.

Hence the triangle is a right triangle.

Learn more about right triangles click;

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I NEED HELP ASAP!!!
Chose one answer form the picture below.

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I am not so sure tho it's either b or d

i need help asap, i need the answer!!!

Answers

Answer:

33/100

Step-by-step explanation:

3/10 × 10 = 33/100

Answer: 30 correct me if I'm wrong

Step-by-step explanation:

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