Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans to weigh a rock 20 times and then calculate the average of the 20 measurements to estimate her rock's true weight. A second student plans to weigh a rock 5 times and calculate the average of the 5 measurements to estimate his rock's true weight. Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be more precise (narrower)

Answers

Answer 1

Answer:

The first student, with 20 measurements, will have the more precise interval due to the larger sample size.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

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

In which z is related to the confidence level, s to the standard deviation and n to the sample size.

The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.

In this question:

One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.


Related Questions

What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17

Answers

Answer:

the answer is 17

Step-by-step explanation:

6×3-1

= 17

Are the ratios 10:2 and 20:4 equivalent

Answers

Answer:

Yes, they are equal

Step-by-step explanation:

To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.

In this case, 10*4 = 40

20*2 = 40

El concepto calidad de vida varía de persona a personas correcto o incorrecto

ASAP
-WILL MARK BRIANIST

Answers

Answer:

20%

Step-by-step explanation:

40-32=8

8/40=20%

This is what I think I hope it helps If right mark me brainliest If wrong tell me and I will figure out another answer.

Answer:

32 are eaten so we need to eliminate that from the total pieces.

40 - 32 = 8 are not eaten YET

8/40 since there are 8 out of 40(in total) that are not eaten

Now we need to convert 8/40 into a percent which means we multiply by a 100 to get 20%.

Brainliest is appreciated.

hey! i’ll give brainliest please help

Answers

Answer:

B

Step-by-step explanation:

A compound sentence is a sentence that has at least two independent clauses joined by a comma, semicolon or conjunction. ... An example of a compound sentence is, 'This house is too expensive, and that house is too small.

Hope this helps!!!

hello rhere, the answer to this is B

What is an equation of the line that passes through the points (-3, -5) and
(-5, -3)?

Answers

Answer: y = -x-8

Step-by-step explanation:

(-3,-5) (-5,-3)

Slope (m) = (y-y)/(x-x) = (-3- -5)/(-5- -3) = (-3+5)/(-5+3) = 2/- 2 = - 1

m = - 1

Point (-3,-5)

y-y=m(x-x)

y- -5= -1(x- -3) = y+5 = -1(x+3)

y+5 = - x -3

y+5= - x - 3 (substract 5 from both sides)

y = - x - 8

Find the length of the missing side. Enter your answer as a number only.

Answers

Answer:

using formula:

a^2+b^2=c^2

54^2+x^2=90^2

2916+x^2=8100

x^2=8100-2916

x=[tex]\sqrt{5184}[/tex]

x=72 m

Step-by-step explanation:

twice one number added to three times another gives 21 find the numbers if the difference between them is 3

Answers

Answer:

6 and 3

Step-by-step explanation:

let x and y be the 2 numbers with x > y , then

2x + 3y = 21 → (1)

x - y = 3 → (2)

Multiplying (2) by 3 and adding the result to (1) will eliminate y

3x - 3y = 9 → (3)

Add (1) and (3) term by term to eliminate y

5x = 30 ( divide both sides by 5 )

x = 6

Substitute x = 6 into either of the 2 equations and solve for y

Substituting into (1)

2(6) + 3y = 21

12 + 3y = 21 ( subtract 12 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

The 2 numbers are 6 and 3


[tex]\huge \mathcal\color{orange}\boxed{\colorbox{purple}{Question}}[/tex]

Use Euclid's division lemma to show that the square of any positive integer is either of
the form 3m or 3m + 1 for some integer m.



Answers

Answer:

let us consider a positive integer a

divided the positive integer a by 3, and let r be the remainder and B be the quotient and such that.

a=3b+r.........(1)

where =0,1,2,3

case 1:consider r=0

equation (1)becomes

a=3b

on squaring both the side

a²=(3b) ²

a²=9b²

a²=3 x 3b²

a²=3mwhere m=3b²case 2: Let R=1

equation (1) become

a=3b+1

squaring on both the side we get

a²=(3b+1)²a²=(3b) ²+1+2x(3b)x1a²=9b²+6b+1a²=3(3b²+2b) +1a²=3m+1

where m=3b²+2bcase3:let r=2equation (1)becomesa=3b+2squaring on both the sides we get a²(3b+2)²a²=9b²+4(12x3bx2a²9b²+(12b+3+1)a²3(3b²+4b+1)+1a²3m+1

where m=3b²+4b+1

: square of any positive integer is of the form 3M or 3M + 1

: hence proved.

Answer:

It is the correct answer.

Step-by-step explanation:

Hope this attachment helps you.

please help ive been struggling for a hour i will give 16 points if corrected

Answers

Answer:

EFG = 104°

GFH = 76°

Step-by-step explanation:

The sum of a linear pair is always equal to 180°

So lets solve for the variable n

2n + 32 + 4n + 16 = 180

6n + 48 = 180

6n = 132

n = 22

So now we know N

EFG = 4n + 16

EFG = 88 + 16

EFG = 104°

GFH = 2n + 32°

GFH = 44 + 32

GFH = 76°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The circumference of a circle is 7 π π ft. Find its diameter, in feet

Answers

Answer:

2.23

Step-by-step explanation:

Which of the following is a classified as a trinomial

Answers

Answer:

A

Step-by-step explanation:

theres 3 ( x³, -3x, 3)

Answer:

A) x² - 3x + 3

Step-by-step explanation:

A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.

In other words, a trinomial is a polynomial consisting of three monomials.

Properties of Triangles (Math please help meee its worth 100 points in my grade)

Answers

First off all angles within a triangle added to together add up to 180 degrees.

Also an isosceles triangle has two sides of equal length (as shown by the two lines drawn through the sides of the triangle)

Since you are given the angle B as 46 degrees that means that angle C is also 46 degrees (since they both share the same base and since both sides of the triangle are equal).

When added together you can subtract this from 180 degrees.

So...

180-92=88

88 is your answer.

What is the sum of the interior angles of the polygon shown below?

Answers

Answer:

540 degrees

Step-by-step explanation:

The formula to find the sum of interior angles in any polygon is the following:

[tex]S=180(n-2)[/tex]

Where (n) represents the number of sides in the polygon. In this case, the polygon has (5) sides, therefore substitute (5) in place of (n) and solve;

[tex]S=180(n-2)\\\\S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

How many subset of (a, b, c, d, et, h, i) are there?
show how you determined it.

Answers

Answer:

6

Step-by-step explanation:

hope this helped

I don't like doing math help if you know :)

Answers

Answer:

Step-by-step explanation:

-(2x+1)

-2x-1

write -2 in that bos and 1 after "-"

Towns X, Y, and Z are on the same straight road. Town Y is between Town X and Town Z. Town X is 57 miles from Town Z, and Town Y is 28 miles from Town Z. What is the distance from Town X to Town Y? A. 21 miles B. 28 miles C. 29 miles D. 30 miles

Answers

Answer:

c

Step-by-step explanation:

distance between town X and Z = 57 MILES

distance between y and z = 28 miles

distance from x to y = 57 - 28 = 29 miles

please check the attached image for a diagram that would help better understand the question

I need help!! Ty
(10x + 6)°
(4x + 4)°

Answers

Answer:

THE ANSWER IS 6

Step-by-step explanation:

The three point line on a basketball court forms a semi circle. For middle school, it has a diameter of 34 feet. What is the area of the semi circle?

Answers

Answer:[tex]454.019\ ft^2[/tex]

Step-by-step explanation:

Given

Diameter of semi-circle is [tex]d=34\ ft[/tex]

So, its radius is [tex]r=\dfrac{34}{2}=17\ ft[/tex]

Area of semi-circle is [tex]\dfrac{\pi r^2}{2}[/tex]

[tex]\therefore \text{Area of semi-circle is }=\dfrac{\pi r^2}{2}\\\\\Rightarrow A=\dfrac{\pi \cdot 17^2}{2}\\\\\Rightarrow A=454.019\ ft^2[/tex]

Thus, the area of semi-circle is [tex]454.019\ ft^2[/tex]

the three side lengths of four triangles are given. which triangle is a right triangle? Triangle 1: 2, 4, 5
Triangle 2: 4, 7, 8
Triangle 3: 3, 4, 5
Triangle 4: 6, 8, 11

Answers

Answer:

Triangle 3

Step-by-step explanation:

A 3:4:5 triangle or any triangle of the same ratio (Like 6:8:10) is always a right triangle

Find the area of the composite figure.
Plz help mee

Answers

Answer:

I think it's 27 by adding the sides

A sound wave is given by the
following equation:
y = 6 sin(324pi t)
where t = time in seconds
How many cycles will occur
between t= 3 and t = 5.5 seconds?

Answers

Answer:

405 cycles

Step-by-step explanation:

We have the equation:

y = 6*sin(324*π*t)

For the properties of the sin function, we know that the period is 2π.

So between:

Sin(x) and Sin(x + 2*pi)

we have a cycle.

between:

Sin(x) and Sin(x + 6*pi)

we have 3 cycles.

and so on.

Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds

Between these times, the difference in the argument of the sin function is:

324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5

Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5

That number is just the quotient between 324*π*2.5 and 2*π

N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405

There are 405 cycles between 3 seconds and 5.5 seconds.

Choose the letter of the correct answer. Write the chosen letter on a separate sheet of paper.
1. It is referred to as the collection of facts such as values and measurement.
a. Data c. Sample
b. Population d. Sets
2. This nature of data can be classified as discrete or continuous data.
a. Qualitative c. Nominal
b. Quantitative d. Ordinal
3. It is a sub-collection of elements coming from a certain population.
a. Sets c. Data
b. Sample d. Population
4. Black, blue, yellow, and red are examples of what ________ data according to its nature.
a. Nominal c. Qualitative
b. Quantitative d. Discrete
5. Juan conducted a research study to identify the factors that affect the study habits of
Grade7 students in Manuel Luis Quezon High School. He created a questionnaire for his
participants to gather data. What method did Juan use?
a. Survey Method c. Observation Method
b. Interview Method d. none of these

Answers

Answer:

1. A

2. B

3. B

4. C

5. A

Step-by-step explanation:

1. Data: is referred to as the collection of facts such as values and measurement. It include but isn't limited to attributes, names, fields and definitions that are being used in a computer database system.

2. Quantitative: this nature of data can be classified as discrete or continuous data. It is typically based on numerical values such as mathematical or statistical analysis of data gathered or collected from various sources e.g questionnaires, polls, surveys etc.

3. Sample: it is a sub-collection of elements coming from a certain population. Sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

4. Black, blue, yellow, and red are examples of what qualitative data according to its nature. It includes variables that are non-numerical in nature i.e they are categorical. For example, the color of a car, gender, shapes etc.

5. Juan conducted his research using a survey method because he created a questionnaire so as to gather data from his participants.

Mhanifa please help! This is late and I need to get it done ASAP or I will fail

Answers

Answer:

Use the ratio of corresponding sides of similar triangles.

#1

50 / x = x / 25x² = 50*25x = 25√2

#2

63 / x = x / (112 - 63)x² = 63*49x = 21√7

#3

100 / x = x / 8x² = 100*8x = 20√2

#4

x / 18 = 18 / 16x = 18*9/8x = 81/4

What is the value of the following expression? (8 + 5 x 9) - 2
Topic: PEMDAS
Please provide an explanation to be rewarded brainly.
Worth: 20 Points

Answers

Answer:

51

Step-by-step explanation:

Parenthesis exponents multiplication division addition subtraction

(8+5x9)-2

(8+45)-2

53-2

51

What is the prime number 24 16 41 64

Answers

Answer:

41

Step-by-step explanation:

because that is the only number that does not have any factors

Frances and Joyce decided to take a shortcut through the woods to go to their friend's house. When they went home they decided to take the long way around the woods to avoid getting muddy shoes. If the length of the shortcut is equal to the square root of the sum of the squares of the other two sides, what total distance did they walk?

Answers

Answer:

Length of shortcut  = 15 km

Step-by-step explanation:

Given that;

Length of shortcut is equal to square root of the sum of the squares of the other two sides.

So,

We can find length of shortcut.

Assume:

Length of other two side area 12 km and 13 km

So,

H = √P² + B²

Length of shortcut  = √12² + 13²

Length of shortcut  = √144 + 169

Length of shortcut  = √225

Length of shortcut  = 15 km

Help me ! Jdkdjdjdb almost due

Answers

Answer: B

Step-by-step explanation

p^2+q, use p=5 and q= -3

All you have to do for this problem is fill in for p and q.

5^2+-3 = 22

Answer:

B) 22

Step-by-step explanation:

Plugging in the values we can solve the equation:

(5)^2 + (-3)

25 + (-3)  -- Evatuate exponents first

25 - 3 = 22 -- Simplify to receive answer

Find the value of x
Please help out !!

Answers

Answer:

x = 8

Step-by-step explanation:

These are corresponding so they are congruent.

Your equation is: 14x-4=12x+12

x=8

Step-by-step explanation:

these numbers are corresponding angle to each other

so =>14x–4=12x+12

14x–4=12x+12collect like terms

=>14x–12x=12+4

=>2x=16 divide both side by 2 you get

=>x=8

Someone please help me

Answers

it’s d 6ft

:))))))))))

Answer:

6 ft

Step-by-step explanation:

10² - 8² = x²

100 - 64 = x

100 - 64 = 36

√36 = 6

Which expression will simplify (3a+6) (7a-2)​

Answers

Enjoy your answer have a nice day
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