A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer 1

Answer:

The 80% confidence interval is  [tex]0.0328 <  \mu <  0.0392[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 23

  The sample mean is  [tex]\= x = 0.036 \ cc/m^3[/tex]

   The standard deviation is  [tex]\sigma = 0.012[/tex]

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80 ) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.282[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = 1.282  *  \frac{0.012 }{\sqrt{23} }[/tex]

=>    [tex]E = 0.00321 [/tex]

Generally 80% confidence interval is mathematically represented as  

      [tex]0.036  -0.00321 <  \mu <  0.036  + 0.00321[/tex]

=>  [tex]0.0328 <  \mu <  0.0392[/tex]

   


Related Questions

I NEED HELP PLEASE Thank youuuu

Answers

Answer:

number 8 is b

Step-by-step explanation:

Distance Formula

[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^2 }[/tex]

(-2,-3) (2,1)   Midpoint (2,1)

[tex]d = \sqrt{(2--2)^2 + (1--3)^2} \\\\d = \sqrt{(4)^2 + (4)^2\\} \\\\d = \sqrt{ 32}\\\\d = 5.7\\[/tex]

Then find the slope.

1- - 3 / 2 - -2 = 4/4 = 1

(or use an online graphing calculator)  

The Points are (6,5)

Which of the following would you expect to find on a monthly account statement? a. A new set of checks and deposit slips for the coming month. b. A list of credits and debits made during the period. c. A comparison of ending balances for the past 12 months. d. A tally of all credits and debits in the account’s history.

Answers

Answer:

b.  A list of credits and debits made during the period.

Step-by-step explanation:

Edge 2021

On a monthly account statement, what you are expected to find is a  A list of credits and debits made during the period.

What is a monthly account statement?

This can be referred to as a statement of the debits and the credits that occurred in a given period of one month.

The account statement is a statement of the transactions that have occurred in an establishment over a period.

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Ana Completed 40% of her homework assignment How to Assignments contain 30 math problems how many problems does Anna still need to complete

Answers

Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.

the students Bend 1/8 of an hour each evening reading a book about biplanes if it took the student 10 evening to finish the book how many hours in all did the students spend reading ​

Answers

Answer:

C. 3¾

Step-by-step explanation:

Number of hours spent per evening reading the book = ⅜ hr

Number of evenings it took to complete reading the book = 10

Total number of hours spent in reading = ⅜ × 10 = 30/8

Simplify

= 15/4

= 3¾ hours

Which diagram demonstrates the problem 3x 1/4

Answers

Answer:

A.

Step-by-step explanation:

3 * 1/4 = 3/4

Which answer shades 3 out of 4 blocks? A.

Answer:

the answer is A

Step-by-step explanation:

3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar

which statement is true regarding the functions on the graph?

Answers

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same

HELP MI PORFA<3
Question 1 (4 points)
1. Write a two column proof. (4pts)
Given: 2(3x + 4) = 56
Prove: x = 8.
I
Question 2

Answers

Step-by-step explanation:

2(3x+4)=56

<=> 6x+8=56

<=> 6x=48

<=> x=8

Please I will give you 10 plus 5 more for brainliest

Answers

Answer:

1-12

Step-by-step explanation:

1. left  2. right  3. equal  4. left  5. left  6. equal

sry i was running out of time.

What is the product of 12 and 5 decreased by 17

Answers

Answer:

43

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

12x5-17 would be the equation

60-17 multiplication due to PEMDAS

43 subtraction

need this done fast pls.

Answers

Answer:

45°

Step-by-step explanation:

85 + 50 + ? = 180

? = 180 - 85 - 50

? = 45

Question 1 -What number in the equation below would be the coefficient?
- 4x
7 = 5
4
-7
O 5
O none of the above

Answers

Answer:

4

Step-by-step explanation:

coefficient is the number next to the variable.

mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?

Answers

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

The number of acres of land Mcgregor has 600 acres.

Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of acres be x.

So, 30% of x=180

⇒ 30/100 × x=180

⇒ 0.3x=180

⇒ x=180/0.3

⇒ x=600

Hence, the number of acres of land Mcgregor has 600 acres.

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NEED ANSWER ASAP WILL GIVE 20 POINTS ONLY IF CORRECT PLS ANSWER NOW
Which statement is true for the equation 3x − 3x − 2 = −2?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

Answer:

Hey. This equation has infinite many solutions.

3x - 3x - 2 = - 2

3x - 3x = 0

3x = 3x

This equals to each other meaning infinite solutions

Step-by-step explanation:

Scores on a recent ACT test yielded mean 20.9 and standard deviation 4.7. find the probability that a random sample of 32 test scores had a mean below 20.
a) .1914
b) .5753
c) .8599
d) .4247
e) .1401

Answers

Answer:

E. 0.1401

Step-by-step explanation:

The mean here has been given as 20.9

The standard deviation sd = 4.7

Random sample n = 32

Sd/√n

= 4.7/√32

= 0.8309

Probability of x less than 20

= 20-20.9/0.8309

= -0.9/0.8309

= -1.083

P(z<-1.083)

When we go to the z table

= 0.1401

Therefore the probability is 0.1401 and the answer to this question is E.

What is the equation of the line that has a slope of 4 and passes through the point (-1, 4)?
O y = 4x + 8
O y = 4x - 1
O y = 4x + 4

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

Plug x = -1 into each of the equations, and see which one results in y = 4.

The first equation will be the only correct answer.

y = 4x + 8

y = -4 + 8

y = 4

Answer:

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

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Here's what the variables mean:

[tex]y[/tex] = the y-coordinate

[tex]m[/tex] = the slope of the line

[tex]x[/tex] = the x-coordinate

[tex]b[/tex] = the y-intercept (the value of y where the line crosses the y-axis)

Because the slope of the line is 4, we can plug that into our equation as [tex]m[/tex]:

[tex]y=4x+b[/tex]

Now, all we have to do is solve for [tex]b[/tex], the y-intercept. We can do this by plugging the point (-1, 4) into the equation as [tex]x[/tex] and [tex]y[/tex].

[tex]4=4(-1)+b[/tex]

Solve the equation

[tex]4=4(-1)+b\\4=-4+b[/tex]

Add 4 to both sides to isolate [tex]b[/tex]

[tex]4+4=-4+b+4\\8=b[/tex]

Therefore, [tex]b[/tex], or the y-intercept, is equal to 8.

Now, when we plug the y-intercept into our equation, we get:

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

I hope this helps!

(Numerical problems) A car is running with the velocity of 72km/h. What will be it's velocity after 5s if it's acceleration is -2m/s square​

Answers

Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58, $30.45, and $29.72. What is the new balance in Sean’s account?

Answers

Answer:

20.75+43.58+30.45+29.72= 124.5

328.15-124.5=

203.65.

Answer:

198

Step-by-step explanation:

Find the height of the pyramid.
Volume
392 cm3
14 cm
7 cm
The height is
centimeters.

Answers

Answer:

12 cm

Step-by-step explanation:

Base area

14 x 7 = 98 cm²

The volume of pyramid

392= 1/3 x height x base area

Height =12 cm

helpppppp meeeeeeeee​

Answers

Answer:

probably H but im not sure

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

the equation is 5x=0.1y

I need help Brian listed if u awnser! right now!​

Answers

Hope that helps the distance between his house and school is 3/4 .
if he is 1/3 from school, then the total distance he has to walk is 3 times more than what he has walked

There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices

Answers

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

2 3/5 is what percent of 20..................

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.

hope this helps,have a great day!!

~Pinky~

2 3/5 is equal to 13% of 20 by express the mixed number as an improper fraction and converting it into percentage.

To convert 2 3/5 to a percentage of 20,

first need to express the mixed number as an improper fraction. The improper fraction is found by multiplying the whole number (2) by the denominator of the fraction (5) and then adding the numerator (3) to get 13/5.

Next, convert the improper fraction 13/5 to a decimal by dividing the numerator (13) by the denominator (5).

This gives us 2.6.

Express the decimal as a percentage, multiply by 100.

2.6 x 100 = 260%

This results in 260%. However, since 260% is larger than 100%,

Find the percentage of 260% by 20.

260%÷20

On dividing by 10 gives:

=26/2

On dividing by 2gives:

=13%

In conclusion, 2 3/5 is equal to 13% of 20.

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8. La semana pasada, John gasto $ 18 en 4 juegos de bolos. Esta semana gastó $ 27 en 6 juegos de bolos. John tiene su propio par de zapatos, por lo que solo paga por los juegos que juega. ¿Es esta relación proporcional? Si es así, ¿cuál es la constante de proporcionalidad?.

Answers

Answer:

Step-by-step explanation:

las quenos juegos = 18

Which expression is equal to 1-12|- |-3|?
О-15
9
o 9
o 15​

Answers

Answer:

15 i think 15 or 9 is the answer

Pls work out and give detail. Use the slope formula to determine the slope of each line.
4. AB
ТУ
41
2
2ТА
B
Х
— 4 — 2
O|
2
N
т
-4 +

Answers

Answer:

[tex]m=0[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the slope of the line

From the attachment, we have the following points

[tex](x_1,y_1) = (-4,1)[/tex]

and

[tex](x_2,y_2) = (3,1)[/tex]

The slope m is then calculated using:

[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]

Substitute values for the x's and y's

[tex]m = \frac{1-1}{3 - (-4)}[/tex]

[tex]m = \frac{1-1}{3 +4}[/tex]

[tex]m = \frac{0}{7}[/tex]

[tex]m=0[/tex]

Hence, the slope is 0

My last oneeeeee help please​

Answers

Answer:

C  HOPE THIS HELPS MARK BRain leist

Step-by-step explanation:

if anyone knows the answer please help

Answers

Answer: B

Step-by-step explanation:

1/9(3)^x

(3)^(5) = 243

243(1/9) = 27

Hope this helps :)

-4= d+3/5

Please help this makes no sense to me

Answers

d= -23/5 mixed number d= -4 3/5

Can you help me understand?

Answers

Answer:

-3,10

Step-by-step explanation:

f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1

Answers

Answer:

D) is the answer

Step-by-step explanation:

It is taught in 5th class in India

Mark as Brainliest.

Because I am Indian and solving your question from India.

The correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

f(x) = 2x³ + 6x² – 5x – 3

g(x) = 3x – 4

The function (f-g)x will be calculated as follows:-

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 2x³ + 6x² – 5x – 3 )  - ( 3x – 4 )

(f - g)(x) =  2x³ + 6x² – 5x – 3 - 3x + 4

(f - g)(x) =   2x³ + 6x² – 8x + 1

Therefore the correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

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