The number of calories in fruit smoothies varies from brand to brand. The population distribution of calories is strongly skewed to the right. The central limit theorem says that:___________
a. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is exactly Normal.
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
c. as the number of brands of fruit smoothies increases, their average calorie count gets ever closer to the mean μ for all fruit smoothies of this type.
d. the average amount of calories of a large number of fruit smoothie brands has a sampling distribution with the same shape (strongly skewed) as the population distribution.
e. the average calorie count of a large number of fruit smoothie brands has a sampling distribution with a similar shape but not as extreme (skewed, but not as strongly) as the population distribution.

Answers

Answer 1

Answer:

b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.

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.

Applying to this question:

The distribution of the number of calories in fruit smoothies is strongly skewed to the right. However, in a sample with a large number of fruit smoothies, the sampling distribution will be approximately normal, so the correct answer is given by option B.

Answer 2

Answer:

B

Step-by-step explanation:


Related Questions

Suppose that we wish to estimate the mean
CPU service time of a job. A sample of 10 jobs
gives a mean of 10 sec and standard deviation
of 1.5 sec. Assume that the CPU service times
are normally distributed, find a 95% confidence
interval for the mean CPU service time.

Answers

Answer:

Step-by-step explanation:

to do lo so ko gogfr org reg  grgrwe wffffqwf qw32767

The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number

Answers

Answer:

b ≤ 3/8

Step-by-step explanation:

Let the unknown number be b.

Translating the word problem into an algebraic expression, we have;

8b + 23 ≤ 26

Rearranging the equation, we have;

8b ≤ 26 - 23

8b ≤ 3

Dividing both sides by 8, we have;

b ≤ 3/8

what is (x+2)^4 using binomial theorem and pascal’s triangle?

Answers

Answer:

x 4 +8x 3 + 24 x 2 + 32 x + 16

Step-by-step explanation:

Please indicate which type of sampling design is most appropriate for each of the following studies. The choices are SRS, stratified random sampling, and matched pair design.

a. A campus newspaper randomly selects 20 common Spring Break destinations and surveys the residents about their attitudes of students spending Spring Break in their city.
b. A developer in West Lafayette wants to know if students who are renting off-campus like their apartment complex. They chose 10 students who lived in 5 different complexes.
c. A researcher wants to know the difference in time it takes to apply brakes between people who are not talking on the phone and people who are talking on a hands-free cell phone. She chose 100 individuals and then drive both ways in a simulator and measured their responses. A student organization has 55 members. Out of these members, five are selected randomly to attend a national conference.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

In point 1

The random selection stratified: although 50 statements belong to 5 different groups.

In point 2:

Coincide pair design: As we're in the SAME location to measure the difference between the downstream and upstream fractures. Although when calculating a top-down split they need only to calculate the low-up split which corresponds to the top-down split.

In point 3:

Matched layout: As 100 individuals were chosen and ALL were required to give BOTH and document certain responses.

In point 4:

SRS: RANDOMLY has also been selected since 20 spring break goals.

How do I start this problem? I don't need help with the graphing part.

Answers

Answer:

x = 6 , y = 0   (x , y) = (6 , 0)

x = 12, y = 3   (x , y) = (12 , 3)

x = 24, y = 9   (x , y) = (24 , 9)

Step-by-step explanation:

Simply plug in a x, and find a y that would make the equation true:

When x = 6:

6 - 2y = 6

6 (-6) - 2y = 6 (-6)

-2y = 0

(-2y)/-2 = (0)/-2

y = 0

When x = 6, y = 0    (x , y) = (6 , 0)

When x = 12:

12 - 2y = 6

12 (-12) -2y = 6 (-12)

-2y = -6

(-2y)/-2 = (-6)/-2

y = 3

When x = 12, y = 3   (x , y) = (12 , 3)

When x = 24:

24 - 2y = 6

24 (-24) - 2y = 6 (-24)

-2y = -18

(-2y)/-2 = (-18)/-2

y = 9

When x = 24, y = 9   (x , y) = (24 , 9)

~

A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?

Answers

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

Answer: 35

Step-by-step explanation:

At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there?

Please explain for brainliest.

Answers

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.

Answers

Answer:

the answer is 6 :))))))))0

Step-by-step explanation:

70+95 Factor the expression using the GCF

giving brain

Answers

Answer:

70 + 95 = 5(14 + 19)

70 + 95 = 5(14 + 19)

gcf = 5

Step-by-step explanation:

70+95

70=2*5*7

95=5*19

70+95=(5*2*7)+(5*19)=(5*14)+(5*19)=5*(14+19)=5*(33)

5*33=165 and 70+95=165                                                                                                  Hope this helps! Please give me brainly!      

What is 5 + 2x + 7 + 4x

Answers

Answer:

12+8x

Step-by-step explanation:

By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.

1302 rounded to the nearest thenth

Answers

Answer:

1300

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1300 Is the answer! I hope this helped

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.

Answers

Answer:

Step-by-step explanation:

ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]

What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )

Answers

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated

what is 3/10(x+2)=12

Answers

X=38

Hope I helped :]

solution...


x=38 it takes a few steps to get the answer

Find the volume of the solid

Answers

Answer:

245 yd3

Step-by-step explanation:

Split the solid into two pieces, multiply length, width, adn height from there.

Answer:

The answer is: 245 yds cubed

Step-by-step explanation:

So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:

Height: 2   Length: 5    Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.

Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5    Length: 9    Width: 5.

So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.

Lastly, we will add the volumes of the two prisms together. 225+20=245.

The final answer is: 245 yds cubed

find the difference between 8n and (3n_6)​

Answers

I don’t kno...............

pls help i need answer

Answers

Answer:

109 degrees

Step-by-step explanation:

23 + 48 = 71

180 - 71 = 109 :)

Answer:

i think the answer is 109 im not sure

Step-by-step explanation:

48+23=71 180-72=109

A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope-intercept equation is written out like so:

y = mx + b

M stands for your slope: 1/2

B stands for your y-intercept: 4

So, your equation is y = 1/2x + 4

What is the solution to this system of equations?
2x+y=6
- 2 x - y = 2
(1,-1)
(0,8)
infinitely many solutions
O no solution

Answers

The answer is No solution

In the figure above, sin 52=17/c. Based on the figure, which of the following equations is also true
A. Sin 38= c/17
B. Cos 38=17/c
C. Cos 52=17/c
D. Tan 52=c/17

Answers

Answer:

c. Cos 52 = 17/c

Step-by-step explanation:

sin(x) = cos(90-x)

please help pleaseeeeeee

Answers

Answer:

B

Step-by-step explanation:

it's basically 2+7

Answer:

it would be C

Step-by-step explanation:

how do I find the number of solutions for this equation? 6y = 12x + 36
15y = 45x + 60​

Answers

Answer:

6y = 12x + 36  is  x= 1 /2 y−3

15y = 45x + 60​   is  x= 1 /3 y+ −4 /3

Step-by-step explanation:

Please help thank you!!!!!!

Answers

H : because each square contains 100 blocks so the two boxes would be 200 together and as you see one square has all blocks shaded ( 100% ) and then has another 100 block with only 40% shaded in 100% + 40% = 140%

work out the size of angle x​

Answers

Answer:

∠x = 117°

Step-by-step explanation:

supplement of ∠101° = 79°

all triangle interior angles add up to 180°

180° - 79° - 38° = 63°

the supplementary angle to 63° is 117°

Please help quick no Tiny links please plz plz help quick due soon I will give points no Links

Answers

Answer:

I think its B but im not sure

Step-by-step explanation:

125 is what percent of 200?

Answers

Answer:

125 is 62.5% of 200, hope this helps :)

Suma40grados 35 con
60grados7
er
ор
q' w
a' rty u
a s d f g h j k l ñ en español​

Answers

Answer:

Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??

Step-by-step explanation:

Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.

Answers

Answer:

x = 3

Step-by-step explanation:

13x - 2 = x + 2

12x = 4

x = 3

a fair cube has 2 red sides, 2 blue sides, and 2 green sides what is the probability of rolling red or blue

Answers

The probability of rolling red or blue would be 4 out of 6 4/6

Find the distance between the points X and Y shown.

Answers

Answer:

5 units away

Step-by-step explanation:

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