The EPA wants to know the daily level of pollutant discharge in the manufacturing district in Pittsburgh for February 2005. The monitoring equipment reveals that the mean daily discharge per factory (calculated as total areal discharge divided by total areal factories) is 30.2 tons with a standard deviation of 9.1 tons. Construct a confidence interval for the true population mean of pollutant discharge using a 95% level of confidence.

Answers

Answer 1

Answer:

The 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).

Step-by-step explanation:

Let X represent the daily level of pollutant discharge in the manufacturing district in Pittsburgh.

The monitoring equipment reveals that for the 28 days of the February month

Mean daily discharge per factory, ([tex]\bar x[/tex]) = 30.2 tons

Standard deviation daily discharge per factory, (s) = 9.1 tons

Compute the critical value of t for 95% level of confidence and (n - 1 =) 27 degrees of freedom as follows:

[tex]t_{0.05/2, 27}=2.052[/tex]

*Use a t-table.

Compute the 95% confidence interval for the true population mean of pollutant discharge as follows:

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]

     [tex]=30.2\pm 2.052\times\frac{9.1}{\sqrt{28}}\\\\=30.2\pm 3.53\\\\=(26.67, 33.73)\\\\\approx (26.7, 33.7)[/tex]

Thus, the 95% confidence interval for the true population mean of pollutant discharge is (26.7 tons, 33.7 tons).


Related Questions

The teacher separated her group of 28 students into 2 groups. One group has 4 more than twice as many students as the other group. How many students are in each group?

Answers

Answer:

one group has 12. one has 16. 12 + 16 = 28. 16 is 4 more than 12

A billboard on level ground is supported by a brace as shown in the accompanying diagram the measure of angle is 15° greater than twice the measure of angle b determine the measure of angle a in the measure of angle b

Answers

Answer:

has a right angle to hold the billboard upright. Since a triangle is 180, and there' s a right angle, then when you add angle A and angle B together, they should add up to 90.

Step-by-step explanation:

A  = 2B + 15

A + B = 2B+15 + B = 90

3B + 15 = 90

3B = 75, so B = 25 degrees

90 - B = A, so A = 65 degrees

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :3
I have to do what the image below says but I don't know how to write it:,)

Answers

Answer:

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.

PLZ HELP !!!!!!

28x+36y=2520 Write this in slope intercept form or graph!!

Answers

Answer:

y= -7/9 x+70

Step-by-step explanation:

28x+36y=2520

36y=-28x+2520

y= -7/9 x+70

Please help me with this equation. It’s solving systems of equations.

Answers

Moving downstream (with the current), the boat moves at a rate of (252 mi)/(12 h) = 21 mph. Upstream (against the current), it moves at a rate of (252 mi)/(84 h) = 3 mph.

When traveling downstream, the boat's speed is the sum of its own speed in still water and the speed of the current. It's the same going upstream, but the boat and current move in opposite directions. Let b and c denote these speeds, respectively. Then

downstream: b + c = 21 mph

upstream:      b - c = 3 mph

Adding these equations eliminates c and lets us solve for b :

(b + c) + (b - c) = 21 mph + 3 mph

2b = 24 mph

b = 12 mph

Now solve for c :

12 mph + c = 21 mph

c = 9 mph


BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?


Answers

Answer:

4

Step-by-step explanation:

The perpendicular slope means opposite reciprocal

opposite: 1/4

reciprocal: 4

Answer:

The slope is undefined

Step-by-step explanation:

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⚠️⚠️marking brainliest⚠️⚠️

It’s a math question :((

Answers

Answer:

slope: 3    y-intercept: 9

Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.

28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.

Answer:

slope is 3 and in the blank goes 1. and y intercepts line at y=1

f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).

Answers

Answer:

(f+g)(x) = 3x - 8 -x -4

(f+g)(x) = 2x-12

(f+g)(5) - substitute 5 into x

(f+g)(5) = 2(5)-12

(f+g)(5) = 10-12

(f+g)(5) = -2

Step-by-step explanation:

Write the exponential equation for the given situation. A tennis tournament starts with 128 participants. Each round, half of the participants gets eliminated from the tournament

Answers

Answer:

y= 128(1-.5)^t

Step-by-step explanation:

Consider the equation −3+(−9.25)+m=0 .

Answers

Let's solve your equation step-by-step.

−3−9.25+m=0

Step 1: Simplify both sides of the equation.

−3−9.25+m=0

−3+−9.25+m=0

(m)+(−3+−9.25)=0(Combine Like Terms)

m+−12.25=0

m−12.25=0

Step 2: Add 12.25 to both sides.

m−12.25+12.25=0+12.25

m=12.25

Answer:

m=12.25

Write sec 325° in terms of the secant of'a positive acute angle.

Answers

Answer:

sec35°

Step-by-step explanation:

sec325° = sec(360 - 325)° = sec35°

The secant of a positive acute angle of sec 325° = sec 35° = 1.22077

What are Trigonometric Ratios?

Trigonometry values are all about the study of standard angles for a given triangle with respect to trigonometric ratios.The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given data ,

The trigonometric ratio is = sec 325°

Now , to express the ratio in terms of a positive acute angle , we take the four quadrants of the graph and express the angle in the first quadrant.

And , 325° lies on the 4th Quadrant , where all cosines and secants are positive.

Therefore , sec 325° = sec ( 360° - 35° )

                                  = sec ( 35° )

                                  =1.22077

Hence , the secant of a positive acute angle of sec 325° = sec 35° = 1.22077

To learn more about trigonometric ratio click :

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A nursery owner buys 9 panes of glass to fix some damage to his greenhouse. The 9 panes cost ​$22.05 ​Unfortunately, he breaks 4 more panes while repairing the damage. What is the cost of another 4 panes of​ glass?

Answers

Answer: $9.80

Step-by-step explanation:22.05/9=2.45x4= 9.80

Answer:

$4.30

Step-by-step explanation:

Two panes of glass cost $4.30.

Explanation

First find the cost of one pane of glass (the "unit cost")

7 panes of glass cost

$

15.05

, so one pane of glass costs

15.05

÷7∩

$2.15 ← cost of one pane of glass

Then use that answer to find the cost of two panes of glass

If one pane of glass costs $2.15, then 2 panes cost 2× $2.15 $4.30 ← cost of two panes of glass

Answer:

Two panes of glass cost $4.30.

Which difference is closest to 12?
A. 89−1112
B. 67−19
C. 1516−38
D. 35−611

Answers

Answer:

b

The rest are at least 500 numbers away from 12

Step-by-step explanation:

What is the image of (-5, 6) after a reflection over the line y = -2

Answers

Answer:

I'm pretty sure it would be (5,6)

Step-by-step explanation:

Reflecting a point over the Y-axis would change the x-coordinate, but not the y-coordinate

A jar contains 50 coins, all either 2 cents or 5 cents. The total value of the coins is $1.87.
How many 2 cents coins are there?

Answers

Answer:

there would be 21 cents

Answer:

they would be 21 cents coins

HOPE IT WILL HELP U!

Given f(x) = -5(2x-7 )- 19, what is the
value of f(-2)?

Answers

Answer:

X=1.8

Step-by-step explanation:

f(X)=-2

-5(2x-7)-19=-2

-10x+35-19+2=0

-10x=-18

X=-18÷(-10)

X=1.8

A rectangular room is covered in 5 12 square feet of carpet. If the length of the room is 16 feet,
what is the width of the room?

Answers

Answer:

long

Step-by-step explanation:

14ft

(-2,-4) and (6,7)
Need help show steps too

Answers

Answer:

Step-by-step explanation:

period

Jenny wants to buy a new dress for her first school dance she barrows $25.63 from her sister to help pay for the dress then Jenny earns $16.33 helping her dad organize his home office if she gives all the earnings to her sister Jenny will still owe her sister $

Answers

Answer:

Jenny will owe her sister $9.30

Step-by-step explanation:

Subtract the money she earned from her dad from what she borrowed from her sister. $25.63-$16.33=$9.30 :)

Give 5 reasons explaining why math is your favorite subject.

Give 5 reasons why you dont like math.

Give 5 areas that math can help you now or in the future.

Answers

Answer:Math is important

Step-by-step explanation:

It could help you get into collage and get a good job and with that you could start your life.

Answer:

1.)

I love working with numbers

I love math because of what a challenge it is

I love math because I can become a engineer

I love math because I can also become a doctor with it

I love math because it is useful

2.)

I don't like math because of the word problems

I don't like math because it sometimes gets too easy

I don't like math because I usually have to help others

I don't like math because people call me a nerd

I don't like math because it makes me explain in words

3.)

when your in the store and it helps you with knowing how much your spending

lets you know about if the discount in the store is really good or bad

helps you with becoming certain things when you grow up

it will help you with most of your jobs

Will help others if you know it, you can share your knowledge

Step-by-step explanation:

brainlist pls :>

3b) Two pizzas are made to the same dimensions. The only difference is that
Pizza 1 is cut into pieces at 30° angles and Pizza 2 is cut at 45° angles. They are
sold by the slice. The slices for Pizza 1 sell for $1.45/slice and the slices for Pizza 2
sell for $1.75/slice. What is the difference in total sales between Pizza 2 and Pizza
1?

Answers

Step-by-step explanation:

$0.30 because they only sell 30 cents less/more than each other

Simplify the expression

Answers

Answer:

B

Step-by-step explanation:

When I graph the inequality symbol > should it be a open or closed
circle on the number line?

Answers

Answer:

It should be open.

Step-by-step explanation:

Hope this helped!

it should be opened i believe

HELP PLEASE!!!
I’ll give brainlest

Answers

The answer would be less than because 4.24 x 10^6 is lesser than 3.28x10^6 so the answer is

g + 10 = 3g

Translate into a sentence !! HELPPPPP

Answers

The sum of g and 10 equals the product of 3 and h

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles. Without
looking, what is the probability that Fiona pulls out a marble that is not white?

Answers

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

What is the probability of an event?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

[tex]n=5+2+10+3\\n=20[/tex]

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

[tex]P=\dfrac{3}{20}[/tex]

The probability that Fiona pulls out a marble that is not white is,

[tex]P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}[/tex]

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Learn more about the probability here;

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Find the cos of angle c
A.3/5
B.6/5
C.5/3
D.1

Answers

I think the answer would be 3/5

what is the answer a, b, c, or d

Answers

Answer: Choice B

(-2, 5)

==================================================

Explanation:

The original system is

[tex]\begin{cases}-4x+3y = 23\\ x-y = -7\end{cases}[/tex]

Multiply both sides of the second equation by 3. Doing so leads to this updated system of equations

[tex]\begin{cases}-4x+3y = 23\\ 3x-3y = -21\end{cases}[/tex]

Now add straight down

The x terms add to -4x+3x = -1x = -x

The y terms add to 3y+(-3y) = 0y = 0

The terms on the right hand sides add to 23+(-21) = 2

We end up with the equation  -x = 2 which solves to x = -2

Now use this to find y. You can pick any equation with x,y in it

----------------

-4x+3y = 23

-4(-2)+3y = 23

8+3y = 23

3y = 23-8

3y = 15

y = 15/3

y = 5

Or

x-y = -7

-2-y = -7

-y = -7+2

y = -5

y = 5

Either way, we get the same y value.

So that's why the solution is (x,y) = (-2, 5)

PLease help with this question? I also need an explanation on how you got the answer

Answers

Answer:

25%

Step-by-step explanation:

1. there are 8 triangles

2. 2 twos

3. 2/8

4. 2/8=25%

need help pease its due at 11;59pm today explian

Answers

Answer:

65

Step-by-step explanation:

you add all the numbers inside.

80+35= 115

You have to make sure it equals to 180 to find angle 1.

Therefore, 180-115=65.

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