Fred and Ted are interested in the average height of NC State students. They randomly sample students from NC State and construct confidence intervals from their data. Fred sampled 121 students to construct his confidence interval. Ted sampled 144 students to construct his confidence interval; both create histograms for their data which have symmetric, unimodal, and roughly bell-shaped distributions. Which of the following is true about the margins of error for these experiments?
a. Fred's margin of error is larger than Ted's.
b. Ted's margin of error is larger than Fred's.
c. Fred and Ted have the same size margins of error.
d. We are unable to determine which margin of error is larger without knowing more about Fred and Ted's samples.

Answers

Answer 1

Answer:

a. Fred's margin of error is larger than Ted's.

Step-by-step explanation:

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(the higher the confidence level the larger the value of z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

From this, we have that:

A higher confidence level leads to a larger margin of error.

A larger sample size leads to a smaller margin of error.

In this question:

Same confidence level.

Fred's sample is smaller, so his margin of error will be larger.

The correct answer is given by option a.

Answer 2

For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

Fred and Ted are interested in the average height of NC State students.

They randomly sample students from NC State and construct confidence intervals from their data.

Fred sampled 121 students to construct his confidence interval.

Ted sampled 144 students to construct his confidence interval.

The margin of error of a confidence interval

[tex]\rm M =z \dfrac{\sigma }{\sqrt{n}}[/tex]

Where z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation level and n is a sample size.

By the formula, we have

A higher confidence level leads to a larger margin of error.

A larger sample size leads to a small margin of error.

For the same confidence level, Fred's sample is smaller, so hir margin of error will be larger. The correct option is A.

More about the normal distribution link is given below.

https://brainly.com/question/12421652


Related Questions

can u guys help me with this

Answers

Answer:

1.  50

2. 18

Step-by-step explanation:

Answer:

1st paper

18

2nd paper

50

helppppppp i need help

Answers

Do you need the fraction? I don’t understand what you are asking

f(x) = - 3/5 * x + k, If f(30)=^ - 11 , what is the value of k?

Answers

X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.

K = 19

Did this help You?----> Yes Or No ?

In 2012 the NYC misdemeanor crimes totaled 374,364, in 2013 the total was 359,350. What was the percent change?

Answers

Answer:

-4%

Step-by-step explanation:

final value - initial value / initial value

359350 - 374364 / 374364

= -15014 /  374364

= -0.04010535201

-0.04010535201 x 100 = -4.01053520103

The value of percent change is -4%.

What is Percentage?

A relative value indicating hundredth part of any quantity is called percentage.

Given that;

In 2012, the NYC misdemeanor crimes totaled 374,364.

And, In 2013, the total was 359,350.

Now.

The percent change = ( Final value - Initial value / Initial value ) x 100

                                =( 359,350 - 374,364 / 374,364 ) x 100

                                = (-15014 /  374364) x 100

                                = -0.04 x 100

                                = - 4%

Thus, The value of percent change is -4%.

Learn more about the percent visit:

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URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??

Answers

Answer:

493g.

Step-by-step explanation:

solve for x: 8x = 2/3

Answers

Divide each term by 8 and simplify.

exact form should be

1/12

Decimal form should be

0.083

Hopes this helps:

Answer: 1/12

X= 2/3•8

X= 2/24

X= 1/12

Steph curry makes 90.3% of his free throws
If he attempts 3 free throws, what is the probability he makes the first one and misses the second and third?

Answers

Answer:

The probability is roughly 0.85%.

Step-by-step explanation:

This situation requires the combination of the probabilities in question.

The probability that Steph will make a throw is 90.3%, and from this we can conclude that the amount missed, or the probability of missing will be the remaining, or [tex]100\%-90.3\%=9.7\%[/tex].

Let's combine the probabilities, remembering a percentage simply means a number over 100:

[tex]P=\frac{90.3}{100} *\frac{9.7}{100}*\frac{9.7}{100}=\frac{90.3*9.7*9.7}{100*100*100}\\\\P=\frac{8496.327}{1 000 000}=0.008496327\\\\P(\%)=0.008496327*100=0.8496327\%[/tex]

(Write a sentence equation ) There are 3 lambs .Each lamb has 4 legs. How many legs are there on 3 Lambs?​

Answers

Answer:

Well its basically 3 x 4 = 12, so for every lamb add four legs until you get to three

Step-by-step explanation:

Given that f(x) = -3x, g(x) = x + 3 and h(x) = 3f(x + 1) = g(x), then
what is the value of h(2)?

Answers

Answer:

hkhqews

Step-by-step explanation:

nc2ecnw

please help me!!!!!!!!!!!!

Answers

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

solve for x
please help​

Answers

Answer:

your answer will be X=11.1

hope it helps you ...

someone please help on this question, i will mark as brainliest!

Answers

Answer:

It’s 11

Step-by-step explanation:

A triangle has angles that measure 118°, 30°, and 32°.

Answers

Answer:

Obtuse

Step-by-step explanation:

Triangles with angles > 90 are obtuse

Answer: obtuse

Step-by-step explanation: Any triangle with more than 90 dgrees means that the other two angles automatically have two acute angles, but an obtuse triangle only needs one obtuse angle: 118. Tell me how I did!

What is the ratio of perimeters for two regular pentagons with areas of 32 cm2 and 98 cm??

O 16:49

0 20:35

O 32:98

O 4:7

Answers

the answer is c judgement. did d dnd. f gn f f f f. f f for jdhdjd d. did djdnd den did dan d he d

Answer:

4:7

Step-by-step explanation:

32/98= 16/49  Square root: 16= 4   square root of 49 =7

4:7

Tanner is an 8th grader in Texas and wants to attend Stanford University after he graduates from
high school. Stanford is a private university and one year of tuition cost $46,320. He plans to attend
Stanford for four years and graduate with a bachelor's degree. His parents have committed to giving
him $8,000 each year towards tuition. Tanner plans to save for the next four years to prepare for the
cost. Determine the minimum amount of money he will need to save each month to pay for one year
of tuition.

Answers

Tanner will have to save $3,193.34 per month for 4 years to pay his tuition for Stanford.

Tanner's tuition over 4 years to get his Bachelor's degree all together will cost $185,280 (multiply 46,320×4). His parents will pay $32,000 (multiply 8,000×4) of his whole tuition. If we do the equation $185,280-$32,000 we get $153,280 which is what Tanner will have to pay. There are 48 months in 4 years. To find the answer you must solve the problem 48x= $153,280. To solve the problem divide both sides by 48. The answer to this equation is technically $3,193.3333333333 but for simplicity's sake we can round to $3,193.34. That is why the answer to this question is $3,193.34 per month of savings.

Algebra 2
Can you help me pls

Answers

Answer:

In50=3.912023005

Step-by-step explanation:

press it on your calculator

Mohamed Hubabi charges $12.00 for 40 pieces of spicy seaweeds.
At this rate, how much will 100 pieces of spicy seaweeds cost?

A) $333.33
B) $100.30
C) $30
D) $48

Answers

Answer:

c. $30

...................

How many fifths are there in 3⅗​

Answers

Answer:

18/5

Step-by-step explanation:

5 1/5 = 1 thus 3 are 15 + 3 = 18/5

Answer:

The answer is 18 fifths.

Step-by-step explanation:

3 = 15/3 + 3/5 = 18/3 fifths.

Please help me. I need help

Answers

Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

What is 2ft 3in converted to in?​

Answers

Answer:

its is 27inches total

Step-by-step explanation:

yes is right

Liz deposited $2,000 into a savings account that pays 8% compounded quarterly. Complete the table to compute the amount in the account after 1 year

Answers

2000*1.02^4=2164.86

Thank you hope this helps

Ryan practiced 43.2 minutes on Monday on his violin. Tuesday, he practiced 37.48 minutes. If he practiced a total of 114.34 minutes for Monday, Tuesday, and Wednesday, how many minutes did Ryan practice on Wednesday?


Ryan practiced ________ minutes on Wednesday.
please help :)

Answers

Answer:

Ryan practiced 33.66 minutes on Wednesday

Step-by-step explanation:

You do 43.2+37.48 and it equals 80.68

Then you do 114.34-80.68 which equals 33.66

If Brittany walks 4 miles in 50 minutes, then Brittany will walk how far in 90 minutes if she walks at the same speed the whole time? If necessary round your answer to the nearest tenth of a mile

Answers

Answer:

Wrong Anewer, I can't delete my answer so I just edited this in

Answer: try calculating it this is very easy that’s why you just have to times it

ing

Step-by-step explanation:

The graph shows the function f(x).
What is the function's average rate of change from x=−1 to x = 1?



Enter your answer, as a simplified fraction, in the boxes.

Answers

Explanation is in the file

tinyurl.com/wpazsebu

QUESTION 8
In the linear equation y = 2x - 8, the slope of the line is
-2.
-8
2
8

Answers

Answer:

2

Step-by-step explanation:

give brainliest

2 because in y=mx+b, m is the slope

If you don't mind, could you please give me a brainliest thanks :]

A store manager decides to clear out
school supplies to make room for new
inventory. Now a $20 bookbag will be
on sale for only $9. What is the
discount, as a percentage?
A:55%
B:40%
C:45%
D:50%

Answers

Answer:

it would be A:55%

Step-by-step explanation

For percent, to make it easier try to turn it into a 100.

20x5=100

do the same to the 9.

9x5=45.

Now subtract 45 from 100.

100-45=55.

There was a discount of 55%.

what is proof?
where/when/how was it created?
How is it used?

Answers

Answer: I did a lot of research for this :)

Step-by-step explanation:

Proof is reasoning that an equation or expression works. It is used in Geometry and Calculus. It is likely first created as an ancient greek mathematics reasoning. Thales was one of the first text books featuring geometry proof(624–546 BCE). It is used to prove that the equation matches.

Can someone please help​

Answers

Answer:

12x+3x=15+6

15x=21

divide both sides by 15

x=7/5

Answer:

hey well use transposition method in this

so 12x-15=6-3x

so.12x+3x-15=6 (we transposed-3 to other side so it became +3)

15x-15=6

15x=6+15

15x=21

X=21/15

X= 1.4

I think I'm correct but if wrong pls don't report me just correct me so I can learn

A computer user has downloaded 19 songs using an online file-sharing program and wants to create a CD-R
with 9 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not
important to him, how many different CD-Rs could he make from the 19 songs available to him?
There are
possible CD-R's.

Answers

Answer:

That would be 19! / 10!, which is 33522128640

If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.

What is permutations?

It is basically an arrangement of objects in a certain order.It is expressed as n[tex]P_{r}[/tex] and it is equal to n!/(n-r)!.

How to calculate ways?

We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19[tex]P_{9}[/tex]=19!/(19-9)!

=19!/10!

=19*18*17*16*15*14*13*12*11*10!/10!

=19*18*17*16*15*14*13*12*11

=335322128640 CD's

Hence 335322128640 CD's can be made from 19 songs by the user.

Learn more about permutations at https://brainly.com/question/1216161

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how do you find the height of a cone using the slanted height PLEASE HELP! MAKE SURE ANSWER IS CLEAR

Answers

Answer:

Step-by-step explanation:

Well you can't find the height of the cone using only the slant height because there simply isn't enough information

S = Slant Height

R = Radius

H = Height

However if you had the radius of the base of the cone, then you can use the Pytagorean theorem like so: H = square root(S^2 - R^2)

If you had the angle the slant made against the base, you could use:

H = S*sin(Angle)

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