Suppose it is known that 23% of students at a certain college participate in a textbook recycling program each semester. Complete parts (a) and (b) below. a. If a random sample of 40 students is selected, do we expect that exactly 23% of the sample participates in the textbook recycling program? Why or why not? Choose the correct answer below. A. We expect that exactly 23% of the sample participates in the textbook recycling program, because that is the percentage of students that participate in the program regardless of sample or population size B. We expect that exactly 23% of the sample participates in the textbook recycling program, because a sample always has the same statistics as the population C. We do not expect that exactly 23% of the sample participates in the textbook recycling program. 23% is a population statistic and you cannot know anything about a sample from the population D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample b. Suppose we take a sample of 400 students and find the sample proportion participating in the recycling program. Which sample proportion do you think is more likely to be doser to 23% the proportion from a sample size of 40 or the proportion from a sample size of 400? Explain your reasoning. Choose the correct answer below A. The sample with size 40 will be closer to 23% because a smaller sample size has a smaller standard error B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error. C. The sample with size 400 will be closer to 23% because a larger sample size has more variation, D. The sample with size 40 wil be closer to 23% because a smaller sample size has loss variation

Answers

Answer 1

Answer:

D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample

B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error.

Step-by-step explanation:

The mean of sample can be estimated from the population. However, what we only get is the estimated mean of the sample which isn't the exact figure as that of the population. This slight variation in the mean value of the sample is due to sampling error.

According to the Central limit theorem, increasing the sample size yield a sample mean which continously converges to that of the population mean as the sampling error for such distribution drops lower and lower.

Answer 2

The true statements are:

D. We do not expect that exactly 23% of the sample participates in the textbook recycling program. We do expect that the sample proportion will be close to the population proportion, but it will vary by the sample error from sample to sample  B. The sample with size 400 will be closer to 23% because a larger sample size has a smaller standard error.

The given parameters are:

[tex]\mathbf{P(Recycling) = 23\%}[/tex]

This means that there is a 23% chance that a student in a college participates in textbook recycling

However, it does not mean that the probability is exactly 23% in a sample of 40 students.

This is so because, there may be error in the sampling of the population.

Hence, the true statement is (d)

According to central limit theorem, as the sample size increases, the sample error reduces.

This mean that the probability will be closer to 23% when the sample size increases to 400

Hence, the true statement is (b)

Read more about probability at:

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Related Questions

This list shows the numbers of times a gym member visited their gym in a month.

8, 10, 2, 5, 1, 22, 16, 15, 20

What is the range of the number of gym visits?


12

20

21

22

Answers

Answer:

C:21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

range is the difference between the lowest and highest value. 22-1=21

55 people showed up on a party.There were 3 less women than men.how many men were there?​

Answers

Answer:

52

Step-by-step explanation:

55 - 3 = 52

give me brainiest wink wink

29 men

Set up a system of equations. If w is the number of women and m is the number of men, we know that w+m=55, and that w=m-3. If you solve this, you get that m-3+m=55 → m=29.

x
What is the angle of elevation of the sun when a 50-ft
mast casts an 18ft shadow? Round to the nearest
whole number.
Tano
50
Tan 0 =
18
0=
Opposite Leg
Adjacent Leg
Submit
50ft
How do I solve this please it’s the last problem

Answers

Answer:

[tex]\theta \approx 1.23^\circ[/tex]

Step-by-step explanation:

The expression has been given as:

[tex]tan(\theta) = \frac{50}{18}[/tex]

Required: Find [tex]\theta[/tex]

Simplify the fraction

[tex]tan(\theta) = 2.7778[/tex]

Take arc tan of both sides

[tex]\theta = tan^{-1}(2.7778)[/tex]

[tex]\theta \approx 1.23^\circ[/tex]

When Ricki walk to school on the sidewalk, she walks 7/10 mile. She then takes a shortcut across the field, which is 1/4 mile long. How long is Ricki's route to and from school?



_______ mile

Answers

Sidewalk: 7/10 miles. Shortcut: 1/4 miles.

X - 7 = -1, what does 'x' equal?

Answers

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

If g(x)=(sin6x)+3 , determine g(15)

Answers

Answer:

6 × 15 equals 90, and the sine of 90° = 1.  That gives us 1 + 3.  The answer then is 4.

Divide : (36
5 + 48
3
) (−12
3
).​

Answers

Answer:

-9

Step-by-step explanation:

If you meant (36 5 + 48 3 ) / (−12 3 ) then the answer should be -9

The first term of a geometric sequence
is -2. The common ratio is 4. What is
the 6th tem?
F -8192
H 2048
G -2048
J 8192

Answers

Answer:

Step-by-step explanation:

a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048

The sixth term of the given sequence is required.

The required term is option G -2048.

Geometric sequence

a = First term = -2

r = Common ratio = 4

n = Required term = 6

The general formula to find a term of the sequence is given by

[tex]a_n=ar^{n-1}[/tex]

Substituting the values we get

[tex]a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048[/tex]

Learn more about geometric sequence:

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Find the value of x.
Please I need help!!!

Answers

Answer:   It is 217

360-(114+29)=217

114 + 29 = 143

Step-by-step explanation: Srry if its wrong

Anybody can tell me How to solve |8|+|-6|?​

Answers

to solve this first make sure to look at the signs. since 8 is the bigger number you know your answer will be positive. now do 8-6 and your answer will be 2. or you can look at it by breaking down the 8 like: -6 + 6 +2, whichever helps you.

Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days. Write an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day. How many miles does Carl need to run each day?​

Answers

Answer:

He needs to run 7 miles per day. 217/31 = 7m

Step-by-step explanation:

2. What is the solution to the inequality
--4x > 132? Show your work

Answers

Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

1) -4x > 132

2) -4x/4 > 132/-4

3) x < -33

Ben has a collection of quarters and nickels worth $5.35. The total number of coins is 43. How many nickels does Ben have?

Answers

2 nickles

4 quaters=1.25

2 nickles

do you know the answer?


if you do then put the answer

Answers

72 1/3 is the answer
i think 72 1/3 i believe

Carol and Peter walk to school. Carol walks 3/5 of a mile to walk to school,
Peter walks 0.65. Which student has a father walk?

Answers

For Carols situation, I divided one mile into 5 parts. 1 mile divided by 5 equals .2 miles. Since she walked 3/5 of a mile, I multiplied .2 with 3 which equals 0.6. Carol walked 0.6 Miles.

Peter walked 0.65 mile, so he walked .05 miles farther then Carol

Peter had a farther walk

which situation could be represented by -5 x 3

Answers

Answer:

-15

Step-by-step explanation:

Answer:

(-5) x 3 + -15

Step-by-step explanation:

a+5 expressed as a difference

Answers

Answer:

A-(-5)

Step-by-step explanation:

Answer:

A-(-5)

Step-by-step explanation:

Make a triangle with 36 unit area and 9 unit base

Answers

I cannot necessarily "make" a triangle, but I do know that the dimensions or measurements of the triangle would be:

area = 36 units

base = 9 units

height = 8 units

There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket or orange show your work in the box and circle your answer

Answers

Answer:

I have no clue good luck tho:)  

Step-by-step explanation:

None :(

what is the answer do you know i want it as a fraction

Answers

Step-by-step explanation:

Given

[tex] \frac{3}{4} + \frac{3}{4} + \frac{2}{3} + \frac{2}{3} \\ = \frac{6}{4} + \frac{4}{3} \\ = \frac{18 + 16}{12} \\ = \frac{34}{12} \\ = \frac{17}{6} [/tex]

Hope it will help :)❤

17/6 i think .........

David is right times older than Nicole. If David is 32 years old , how old is Nicole? Write an equation to solve Nicole's age.
Let a be the age of Nicole. An equation that can be solved for Nicole's age is _____.​

Answers

Answer:

8a=32

Step by Step

Since David is 8x older than Nicole you could write Nicole as the age of a, so then David would be 8a. You are given David is 32 years old so you set 8a equal to 32.

Answer is 4

Nicole is 4 years old

8a=32

divide both sides by 8

Answer is 4


Find the area of the polygon.
16 cm
10 cm
12 cm
24 cm

Answers

Answer:

the area of the polygon is 240cm^2

Could someone find the equation plz

Answers

answer: y = 3x -7

Explanation:
3 is the slope
-7 is the y-intercept

Solve using substitution

x-y= 6
4x+2y=36

Answers

X=6+y
4(6+y) +2y=36
24+6y=36
6y=12
Y=2
X=8

plz help this is a important quiz check my question to help me more
Arrange and Write the Integers in Increasing Order (5 points)

-33 5 -47 44 -80 -90

Answers

Answer:

-90, -80, -47, -33, 5, 44

Step-by-step explanation:

So think of a timeline:

There, it is like going back in negative an forward positive you can keep going to find the place.

Please mark brainliest  if you found this helpful

Please help I’ll give brainalist + 10 points to whoever helps and get this 100% right

Answers

Answer:

its C

Step-by-step explanation:

because 180⁰-40⁰=140⁰

Answer:

∠m = 140°

Step-by-step explanation:

∠1 and ∠m are adjacent angles, so they add up to 180°.

∠1 + ∠m = 180

40 + ∠m = 180

∠m = 180 - 40

∠m = 140°

15) Brenda walked 12.2 miles to raise money for her local food pantry. She
collected $44.50 for each mile she walked. How much money did Brenda
raise?

Answers

Answer:

542.9

Step-by-step explanation:

Please mark brainliest

Answer:

She raised: $542.9

12.2 × 44.5 = 542.9

3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does Jacob have?

Answers

Answer:

12

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

After he cuts the 4 bars, there are 12 pieces Jacob have.

What is division?

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Jacob has 4 granola bars.

He cuts them into pieces that are 1/3 of a bar each.

After he cuts the 4 bars.

After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.

[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]

Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.

Learn more about division here;

https://brainly.com/question/9859817

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I need help the question is what is the are of the composite figure

Answers

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]

                                                = [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.

Jenny is planning an extended trip to Russia.The table below shows a list of cities which she would like to visit during her stay, along with the amount of money she anticipates needing to spend on travel, lodging, and similar expenses in each city. All costs are given in Russian rubles (RUB).

City
Cost (RUB)
Izhevsk
4,721
Novosibirsk
4,870
Nizhny Novgorod
6,920
Moscow
5,485
Chelyabinsk
5,217
Saint Petersburg
5,960
Tolyatti
5,598
Yaroslavl
4,901

Even though Jenny wants to go to each of these cities, her budget is only RUB 33,000, so she recognizes that she must change her itinerary and choose not to visit some cities. Which of the following pairs of cities will not put Jenny back under budget if she drops them?
a.
Moscow and Chelyabinsk
b.
Izhevsk and Nizhny Novgorod
c.
Novosibirsk and Saint Petersburg
d.
Yaroslavl and Tolyatti

THE ANSWER IS D. YAROSLAVI AND TOLYATTI

EXPLANATION: the total of all cities is 43,672. If we subtract 4901 for Yaroslavi and 5598 for Tolyatti we have 33,173 (43,672 - 4901 - 5598 = 33,173). This would still be over Jenny's budget

Answers

The correct answer is D hope this helps you.

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