Simple Random Sample of Size 25:
Chances are, since you are studying AP Statistics, you plan to earn at least a bachelor's degree from college. According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree. You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree. Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.

Answers

Answer 1

Answer:

By the Central Limit Theorem, it is approximately normal with mean 0.29 and standard deviation 0.0596

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes 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].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree.

This means that [tex]p = 0.29[/tex]

You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree.

This means that [tex]n = 58[/tex]

Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.

By the Central Limit Theorem, it is approximately normal with mean [tex]\mu = p = 0.29[/tex] and the standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.29*0.71}{58}} = 0.0596[/tex]


Related Questions

A relay team of 4 people run 5 miles. How many miles does each person run?




Answers

Answer:

5 miles

Step-by-step explanation:

they all ran 5 miles

Find the measure of angles 1-7(please help)

Answers

Answer:

Step-by-step explanation:

1. 70 deg (compliment angle of 110 deg.)

2. 65 deg (compliment angle of 115 deg.)

3. 65 deg (corresponding angle of angle 2)

4. 115 deg (corresponding angle of 115 deg.)

5. 45 deg (angles 1+3+5 = 180 deg. as sum of internal angles in a triangle)

6. 45 deg (alternate angle of angle 5)

7. 45 deg (corresponding angle of angle 5)

AB= Round your answer to the nearest hundredth. 3 3 65 B​

Answers

Answer:

AB = 7.10

Step-by-step explanation:

Reference angle = 65°

Hypotenuse = AB = ?

Adjacent side length = BC = 3

Apply the trigonometric ratio CAH, to find AB.

Cos 65 = Adj/Hyp

Cos 65 = 3/AB

AB*Cos 65 = 3

AB = 3/Cos 65

AB = 7.09860475

AB = 7.10 (nearest hundredth)

1+1-1+1-1 Will choose brainly

Answers

Basically, the carapace is the shell on back of the crab that is made of a hard bone called chitin. Chitin is a polymer which is the main component of arthropod's exoskeletons such as crabs

Answer:

1

Step-by-step explanation:

what is the possessive form of harmonica​

Answers

Answer:

harmonica’s

Step-by-step explanation:

because it’s talking about multiple and it has apostrophe and an s


Ixlllllllllllllllllllllllll

Answers

Answer:

am afraid am going to do a cooked method.this is the only way I can help please forgive me.

Step-by-step explanation:

answer is 5.9

1/3x+8=12 what does x equal and show work

Answers

For this particular equation, the answer for the value of x is 12.

Answer: x = 12

Step-by-step explanation:

subtract 8 on both sides (12-8=4)

now we have 1/3x = 4

multiply 3 on both sides (4 x 3 = 12)

now we have x = 12

PLEASE HELP ME RIGHT NOW

Find the range and interquartile range of the data.

23,45,39,34,28,41,26,33

The range of the data is


The interquartile range of the data is

Answers

Answer:

the answer to the range should be 22 but i do not have the interquartile range :(

Step-by-step explanation:

WILL GIVE BRAINLIEST ONLY IF RIGHT! Isabella grows several varieties of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest 5, per plant for different varieties. Each dot represents a different plant.

Order the varieties from least to greatest the typical number of peppers per plant.

Put the graph with the least typical value on top.

Answers

Answer:

In photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle DEF has an angle D measuring 25 degrees and an angle E
measuring 50 degrees.
What is the measure of angle F, in degrees?

Answers

Answer:

The angle F of the triangle DEF measures 105 degrees.

Step-by-step explanation:

Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:

180 - 50 - 25 = F

130 - 25 = F

105 = F

Therefore, the angle F of the triangle DEF measures 105 degrees.

Pam wants to put a banner across her garage door to congratulate her son on his college graduation. The garage door is 9 feet high and 12 feet wide. How many feet long should the banner be to fit the garage door?

Answers

9514 1404 393

Answer:

  15 feet

Step-by-step explanation:

The diagonal of a 9 ft by 12 ft rectangle is given by the Pythagorean theorem as ...

  d = √(9² +12²) = √225

  d = 15 . . . . feet

The banner should be 15 feet long to match the length of the door diagonal.

Evaluate the expression when c=8 and d= 4
c+7d

Answers

Answer:

36

Step-by-step explanation:

8+7(4)

8+28

36

(b) In summer, the zoo increases the prices.
An Adult ticket increases by 20%.
A Child ticket increases by 15%.
How much more does it cost the family to visit in the summer than in the winter?

Answers

Why are there no values provided?

Let f(x) = x + 2 and g(x) = x + 4.
Find f(g(f(2)).
Brainliest 15 points

Answers

Answer:

10

Step-by-step explanation:

Let's find f(2) first.

f(2) = 2 + 2 = 4

This means it would be f(g(4)).

Then let's find g(4).

g(4) = 4 + 4 = 8

Then, this means f(8).

f(8) = 8 + 2 = 10

An object changes speed from 10 m/s to 18 m/s in the course of 4 seconds. What is its acceleration? HURRY PLEASE IM TAKING A TEST ASAP 50 points and brainliest

Answers

Answer:

2

Step-by-step explanation:

Velocity/Time, or 8/4 equals 2.

Hope this helps!

Can someone please help me? I don’t understand this at all :/

Answers

I have no idea either but maybe look up cosine and sine functions

Need the measurements for 1 2 and 3

Answers

Answer:

m, c, and l

Step-by-step explanation:

A monitor measures 10.6 inches by 16.8 what is the length of the diagonal

Answers

Step-by-step explanation:

We will use pythagoras' Theorem for this question

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

[tex] {c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches[/tex]

The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these separately. None, Positive, or Negative thanks so much and tell me which one thanks!

Answers

1. No correlation

Those things don't really relate to each other.

2. Positive correlation

The more you drive your car, the more you'll have to pay for gas.

3. Negative correlation

More people = less soda.

Evaluate the expression if x = 3.
5x – (4 + x)

-

do not post any links.

Answers

Answer:

the answer is 8

Step-by-step explanation:

5 times 3 is 15

4 plus 3 is 7

15 minus 7 is 8

Find the slope of the line passing through the points (6,6) and (6, -7).
slope: 1

Answers

Answer:

The line is a vertical line, which does not have a slope.

Step-by-step explanation:

Slope of a line:

Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.

(6,6) and (6, -7).

Change in y: -7 - 6 = -13

Change in x: 6 - 6 = 0

Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.

Decide whether the equation describes a function.

y= 4x - 5

What is the domain and range?

Answers

Answer: The domain is in the picture

Step-by-step explanation:

Write an equation that can be used to find the nth term of the sequence, an.

80, 105, 130, 155, 180, ...

Enter your answer by filling in the boxes.

an = n +

Answers

Answer:

an=105-25n is the answer

The filling in the boxes an is equal to 105-25n.

We have given that,

Write an equation that can be used to find the nth term of the sequence, an.

What is the sequence?

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

The sequence is 80, 105, 130, 155, 180.

We have to determine an term.

To learn more about the sequence visit:

https://brainly.com/question/6561461

#SPJ2

Define a proportion.​

Answers

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

If you flip three fair coins, what is the probability that you'll get all three tails?

Answers

Answer:

50%

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

trust me :D

If Candice has 1000 soaps and eats 5 how many apples will he have left?

Answers

Answer:

995

Step-by-step explanation:

Because you would have to subtract 5 from 1000 which is 995, hope this helped!

What angle maximizes the area of the triangle below?

Answers

Answer:

90°

Step-by-step explanation:

Area of triangle with sides a and b and included angle Θ:

A = (1/2)ab * sin Θ

dA/dx = (1/2)ab cos Θ

(1/2)ab cos Θ = 0

cos Θ = 0

Θ = 90°

write your answer as a mix number 8 1/2 + 7 2/3 add

Answers

Answer:

[tex]15\frac{13}{21}[/tex]

Step-by-step explanation:

[tex]answer[/tex]

Equalizing the denominator

Likening retailers can be done by calculating the frequency from numbered fractions. Based on examples calculated by pec from 4/3 and 5/3 = 34/4

#semogamembantu

This week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday. If Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days?

Answers

Answer:

Jose will have played the guitar for 9.1 hours during those 6 days.

Step-by-step explanation:

Given that this week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday, to determine, if Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days, the following calculation must be performed:

3/4 = 0.75

1/2 = 0.5

(0.75 + 1.5 + 2.3) x 2 = X

4.55 x 2 = X

9.10 = X

Therefore, Jose will have played the guitar for 9.1 hours during those 6 days.

HELP ME PLEASE I NEED TO PASS THIS CLASS

Answers

Answer: I could be wrong but it's probably 3.

Step-by-step explanation: Once there's x in the 3 sides of angles you subtract. 73 minus 3 = 3 degrees. If I'm wrong sorry about that. I will try to improve. :)

Answer:

37°

Step-by-step explanation:

70°+73°+x°=180°

143°+x°=180°

x°=180°-143°

x°=37°

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