Researchers studying the sticky droplets found on spider webs will measure the widths of a random sample of droplets. From the sample, the researchers will construct a 95 percent confidence interval to estimate the mean width of all such droplets. Write the correct statement about a 95 percent confidence interval for the mean width.

Answers

Answer 1

Answer:

The interval will be narrower if the researchers increase the sample size of droplets.

Step-by-step explanation:

The confidence interval can be obtained using the relation :

Xbar ± Margin of error

Margin of Error = Zcrit * s/sqrt(n)

Zcritical = critical vlaue at the specified α - level

n = sample size ; s = standard deviation

Sample size being the denominator, will reduce the overall value of the error margin as we utilize a larger sample.

Hence, the interval becomes narrower as the error margin is reduced which is achieved by employing an increased sample size.

Answer 2

Answer:

B. The interval will be narrower if the researchers increase the sample size of droplets.

Step-by-step explanation:

B. The interval will be narrower if the researchers increase the sample size of droplets.

Margin of error of a confidence interval:

The higher the margin of error, the wider an interval is.

In which z is related to the confidence level(the higher the confidence level, the higher z),  is the standard deviation of the population and n is the size of the sample.

From this, we conclude that:

If we increase the confidence level, the interval will be wider.

If we increase the sample size, the interval will be narrower.

Which of the following statements about a 95 percent confidence interval for the mean width is correct?

Increasing the sample size leads to a narrower interval, so the correct answer is given by option B.


Related Questions

The seventh-grade class is selling boxes of votive candles as a fundraiser. The first box purchased costs $14.00, and each additional box costs $10.00.
b. An equation that relates the total money spent on boxes of candles, C, to the number of additional boxes purchased, b, is
c. Using the equation from part (b), the total money spent by a person who bought 3 boxes of candles for the fundraiser would be $

Answers

Step-by-step explanation:

b. C= 14+(10b)

c. C = 14+ ( 10 x 3) = 14+30 =44

b) The number of additional boxes purchased is C= 14 + 10b

c) The total money spent by a person who bought 3 boxes of candles is $54.

What is Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is the expression.

Given:

The first box purchased costs $14.00.

Each  additional box costs $10.00.

let total money spent on boxes of candles be C then number of boxes purchased

C = 14+ 10 b

and, When b= 3 boxes

C = 14 + 10b

   = 14 + 10(3)

   = 14+ 30

   = 54

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If f(x) =3/2x +14 then find the value of f(0)

Answers

Answer:

14

Step-by-step explanation:

Replace each instance of x with 0 to find f(0):

f(0) = (3/2)(0) + 14 = 14

[tex]\huge{\mathbb{\tt {PROBLEM:}}}[/tex]

[tex]{\boxed{\boxed{\tt {If f(x) =3/2x +14 \: then \: find \: the \: value \: of \: f(0)}}}}[/tex]

[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]

[tex]{\mathbb{14}}[/tex]

[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]

[tex]{\boxed{\boxed{\tt {You \: must \: be \: replaced \: each \: instance \: of \: x \: with \: 0 \: to \: find \: f(0)}}}}[/tex]

[tex]{\boxed{\boxed{\tt { f(0)=(3/2)(0)+14=14}}}}[/tex]

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→X x K i m 0 2 x X

Steve gets paid $50 a week plus $5 for each items he sells.he wants to know how many items he needs to sell, X, to make at least $220 in one week.

I NEED HELP PLEASE TRYING TO PASS SCHOOL PLEASE ASAP NEED HELP

Answers

Answer:

The answer is...

Step-by-step explanation:

220 - 50 is 170. So know you know how much money he wants plus to his salary. 170/5 is 34.

x=34

Answer:

5x + 50 ≥ 220

5x ≥ 220 - 50

Step-by-step explanation:

The at least inequality sign for 220 is: ≥ 220

5x + 50 ≥ 220

5x ≥ 220 - 50

please help me this is due in 10 mins ill give you the crown no links

Answers

Answer:

see below

Step-by-step explanation:

the sum of any two angles is 180 degrees.

angle of d = 180 - 62 =  118 degrees

angle of c = 180 - 31 = 149 degrees

Can someone help please help me with this math problem please:)

Answers

Answer:

388 in²

Step-by-step explanation:

(10)(19) + (11)(18) = 388 in²

Answer:

388 in²

Step-by-step explanation:

The upper rectangle (the big one) is 30 in long and 10 in wide.  Thus, its area is the product of these two measurement:  300 in².

The lower rectangle is 8 by 11 inches, or 88 in²

The total area of the figure is 388 in²

Please help. I’ll mark you brainliest. But no link andwers

Answers

Answer: y = -2x + 6

Slope-intercept form: y = mx + b, where m = slope and b = y-int

m = -2

(-1, 8) --> -1 = x₁, 8 = y₁

Based on the slope and given point, use oint-slope form, y - y₁ = m(x - x₁), to find the slope-intercept equation:

y - 8 = -2[x -(-1)]

y - 8 = -2(x + 1)

y - 8 = -2x - 2

y = -2x + 6



Here are 6 numbers.

18/25, 0.7, 0.73,4/5, 0.77, 0.79,

Write these numbers in descending order of size.

Answers

Answer:

4/5, 0.79, 0.77, 0.73, 18/25, 0.7

Please mark as brainliest

Have a great day, be safe and healthy  

Thank u  

XD

who wants some points come and get them

Answers

Answer:

i want ponts

Step-by-step explanation:

Find the perimeter of the polygon. Please help

Answers

Answer:

the answer is 96 it's 12 x 8

Answer:

EASY 96

Step-by-step explanation:

just add all sides together 12+12+12+12+12+12+12+12=96

how do you calculate your income?. A.income minus expences
B. income+expenses
C.expences minus income
D. just ur income​

Answers

Answer:

A

Step-by-step explanation:

The question doesn’t look right but if I’m reading it correctly: You subtract your expenses from your revenue to get your NET income.

Is this right? Please help me.

Answers

Answer:

I don't know

Step-by-step explanation:

i don't even see the picture

200 children attended the school play. of total attendance, 40% were boys. How many girls attended the school play?
explain fully.

Answers

Answer:

120 girls attended the school play. :)

Step-by-step explanation:

there are 200 children.

40% are boys.

this means 60% are girls.

60% + 40% = 100%

60% of 200 is 120

Answer:

120 Girls attended the school play.

Step-by-step explanation:

We know that 40% of 100 is 40, so you double that and get 40% of 200 is 80.

Then you do 120-80=40.

i will add extra points if i have to

Answers

It might be B I’m not sure but I hope it’s right

A recipe calls for 2 eggs to make 4 dozen cookies.
Leslie needs 10 dozen cookies. How many eggs will
she need?

Answers

Leslie will need 5 eggs to make 10 dozen cookies

PLEASE ANSWER!!!! What is the length of segment CD?


CD = two square root of 10
CD = 6
CD = 8
CD = 40

Answers

Maybe two square root of 10

Alonso is a waiter at a restaurant. Each day he works, Alonso will make a guaranteed
wage of $30, however the additional amount that Alonso earns from tips depends on
the number of tables he waits on that day. From past experience, Alonso noticed that
he will get about $8 in tips for each table he waits on. How much would Alonso
expect to earn in a day on which he waits on 20 tables? How much would Alonso
expect to make in a day when waiting on t tables?

Answers

Answer:

20 tables= 190

earining for t tables: 30+8t

Step-by-step explanation:

Trinian mailed a box to her aunt The base of the box was a square with a side length of 20 inches. The box was 10 inches tall. Which of the following was the volume of the box? A. 2.000 in В. 4,000 in 200 in D 1,350​

Answers

Answer:

the shape of the box is a rectangular prism.The way to solve this is by using the formula V=l*w*h

we only have 20(l) and 10(h) so here's a clue it said that the base of the box was squared so the width would also be 10 in. so....

V=20*10*10

                ₃      

=2000 in

Step-by-step explanation:

What is the volume, in cubic in, of a rectangular prism with a height of 9in, a width of 4in, and a length of 5in?

Answers

Answer:

The volume is 180 in

Step-by-step explanation:

Volume is the quantity of three-dimensional space enclosed by a closed surface, for example, the space that a substance (solid, liquid, gas, or plasma) or shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre. The volume of a container is generally understood to be the capacity of the container;

Answer:180

Step-by-step explanation:

Brittany conducted a series of surveys to gather data on the ages of pet cats. The sample means for each survey are shown in the table.
Sample
Sample Mean (years)
15.09
1
2
14.45
3
14.91
4
15.09
5
14.91
6
15.82
7
14.36
8
15.55
9
14.36
10
15.27
Use this information to complete the statements.
The average of the sample means is
As the number of surveys conducted increases, the average of the sample means approaches the

Answers

Answer:

The average of the sample means is 14.98.

As the number of surveys conducted increases, the average of the sample means approaches the population mean.

Step-by-step explanation:

Plato

The average of the sample mean from the given data values in the table is gotten as; 14.98

How to find the average of mean?

When finding the average, we need to sum up all the given data and then divide by the total number of data.

The given data values are; 15.09, 14.45, 14.91, 15.09, 14.91, 15.82, 14.36, 15.55, 14.36, 15.27.

The sum of these given data is;

15.09 + 14.45 + 14.91 + 15.09 + 14.91 + 15.82 + 14.36 + 15.55 + 14.36 + 15.27 =  149.81

Thus;

Average of sample mean = 149.81/10

Average = 14.98

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which expressions are equivalent to 5/7x +5?

Answers

Answer: You could do 7x+5 over 5, like a fraction. Or you could do 5/7 (x+5). I take the slash as a fraction so..

Hope it helps

build the graph of the equation (x+2)(y-5)=0

Answers

Answer:

Step-by-step explanation:

Set each factor equal to zero and solve for the indicated variable.

x + 2 = 0 yields x = -2, or (-2, 0).  Plot this (-2, 0).  (This is the x-intercept.)

y - 5 = 0 yields y = 5, or (0, 5).  Plot this (0, 5)    (This is the y-intercept.)

Finally, draw a line through these two intercepts.

Find the common ratio of the geometric sequence 19, -76, 304, ...

Answers

Answer: -4

Step-by-step explanation:

The common ratio of the geometric sequence  [tex]19, -76, \ 304, \ ...[/tex] is [tex](-4)[/tex] .

What is geometric sequence?

Geometric sequence also known as a geometric progression, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. i.e.  [tex]r=\frac{a_{k+1} }{a_{k} }[/tex]

What is common ratio ?

Common ratio the number which is multiplied (or divided) at every stage of a geometric sequence.

We have,

Geometric sequence  [tex]19, -76, \ 304, \ ...[/tex]

Here,

[tex]a_{1} =19, \ a_{2} =(-76), \ a_{3} =304[/tex]

So,

[tex]r=\frac{-76}{19}[/tex]

[tex]r=(-4)[/tex]

So,

Common ratio of the given geometric sequence  is [tex](-4)[/tex] .

Hence, we can say that the common ratio of the geometric sequence  [tex]19, -76, \ 304, \ ...[/tex] is [tex](-4)[/tex] .

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Pameton a
Function A
Function B
y = -x2 + 6x - 1
Scientific
Calc
Consider the two functions. Which statement is true?
A)
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The maximum for function A is greater than the maximum for function B.
B)
The maximum for function B is greater than the maximum for function A.
The minimum for function A is greater than the minimum for function B.
D)
The minimum for function B is greater than the minimum for function A

Answers

the answer is Dhope this helps did this before
Give the following formula, solve for a. S= a+b+c / 2

Can someone plzzzzz help me with number 8

Answers

Answer:

An example of complementary angles would be Angle FA and Angle EF

Step-by-step explanation:

These angles add up to 90 degrees

Hope this helps!

Answer:

∠AGF and ∠FGE, or ∠BGC and ∠CGD

Explanation

complementary angles are any angles which add up to 90°. since ∠AGB is a right angle according to the diagram, and AGD as well as BGE are straight lines (assumption), ∠DGE is also equivalent to 90° (opposite angles).

thus, the sum of ∠AGE and ∠BGD would be 90° each, so we know that ∠AGF and ∠FGE or ∠BGC and ∠CGD each add up to 90°.

i hope this helps! :D

OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-

Answers

Answer:

2/5 bucket

Step-by-step explanation:

1/2 and 3/4 are equal. So 2/5 is wrong.

hope this helped, and please mark as Brainliest <3

y=−3x+9
3y=−9x+9
​how many solutions does this equation have?

Answers

Answer:

for y=-3x+9 it has 3 solutions

for 3y=-9x+9 it also has 3 solutions

Step-by-step explanation:

Solve the right triangle. Find all the missing angles and sides. Round to the nearest tenth.
Inverse trig functions !

Answers

Answer:

1.

by using Pythagoras theorem

h²=p²+b²

h²=12²+40²

h=√1744

AB=42

2.

x+48°+90°=180°{sum of interior angle of triangle}

x=180°-138°

x=42°

which formula is used to calculate area of trapezium ?​

Answers

Answer:

AB║CD

let a & b be length of parallel sides distance between them is h.

area of trapezium =

1/2 ah + 1/2 bh = 1/2 h ( a + b )

hope this answer helps you.....

If we buy 20 pickles, what is the experimental probability of winning 5 or more tickets?

Answers

Answer:

66%

Step-by-step explanation:

The experimental probability of winning 5 or more tickets is 90%

How to determine the probability?

To do this, we simply add the probability values of the bars that have a value of 5 or more

So, we have:

P(x >= 5) = (5 + 8 +17 + 19 + 20 + 21)%

Evaluate the sum

P(x >= 5) = 90%

Hence, the experimental probability of winning 5 or more tickets is 90%

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A total of 807 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 more student tickets sold than adult tickets.
How many adult tickets were sold?
II adult tickets
?

Answers

The answer is 375

I got this answer as you take 807-57=750, you would then take 750 and divide it by 2 which gives you 375!
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