The data below gives the mean price (in cents) of a liter of regular gasoline at self-service filling stations at a sample of six urban centers in Canada in May 2011.

Urban area Price/liter
St. John, NL 137.1
Halifax 133.6
Montreal 136.2
Regina 132.3
Saskatoon 132.2
Yellowknife 138.9

Required:
a. Find the sample mean (in cents).
b. Find the sample standard deviation (in cents).
c. Find a 90% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval.
d. Find a 95% confidence interval for the mean gasoline price per liter across urban Canada in May 2011. Provide the lower and upper limits for your confidence interval.

Answers

Answer 1

Answer:

135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)

Step-by-step explanation:

Given the data:

Urban area Price/liter

St. John, NL 137.1

Halifax 133.6

Montreal 136.2

Regina 132.3

Saskatoon 132.2

Yellowknife 138.9

Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6

= 810.3 / 6

= 135.05

Standard deviation (σ) : √Σ(X - mean)²/n-1

(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135

√(38.135 / (6 - 1))

= √7.627

= 2.7617023

= 2.762

C.)

90% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 90% = 1.64

135.05 ± 1.64 * (2.762/√6)

135.05 ± 1.64 * 1.1275817

Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201

Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899

Confidence interval = (133.201, 136.899)

D.)

95% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 95% = 1.96

135.05 ± 1.96 * (2.762/6)

135.05 ± 1.96 * 1.1275817

Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840

Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260

Confidence interval = (132.840, 137.260)


Related Questions

Help me out here pleaseeeeeeeeee

Answers

Just multiply 1/4 times 6

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

Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )

Answers

20% = 1/5

0.35 = 35/100 but simplified is 7/20

I hope this helps, and Happy Holidays! :)

For the right triangle shown, which of these equations is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x

Answers

Answer:

3

Step-by-step explanation:

3 because 37° and 53° these sum is 90°.

Answer:

3. cos(53)=sin(37)

Step-by-step explanation:

let y be the third side

cos(53)= adj/hyp

           =y/16

sin(37)=opp/hyp

          =y/16

therefore, sin(37)=cos(53)=y/16

Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)

Answers

for just the flour he would pay 206$ but for the flour and delivery he would pay 242.50$

ejt-vokv-opj join to teach​

Answers

Answer:

ive seen this before its not to teach what you think stay away from it

Answer:

i thought this was a different language

Step-by-step explanation:

smh

Solve
20 + 6k - 14+k

Answers

Answer:

7k+6 is your answer to the question

20+6000-14000=7,980..........
.

Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist ​

Answers

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

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.

To learn more about the percentage visit:

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6. What are the dimensions of this matrix?

Answers

Answer:

the dimensions will be 2 x 1

Option C is correct option.

Step-by-step explanation:

We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]

The dimensions consists of rows and columns in the form. Rows x Columns

In the given matrix the rows are: 2

The columns are: 1

So, the dimensions will be 2 x 1

Option C is correct option.

Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?

Answers

$87.5 because 30% of 125 is 37.5 so 125-37.5 is 87.5

16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

Answers

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation

2) Generate at least two ordered pairs


1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.

2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription

Answers

Answer:

1 is     6x+4y=422

2 is     (12,25)

i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho

Answer:

3fftedvvvte4ffff

Step-by-step explanation:

ggvggrrrvvg

a line must contain at least three points
?

Answers

Answer:

A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

Please help and explain how you got the answer. Im giving out brainliest. || Q4

Answers

Answer: 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Inside the parentheses, we see 5+3, which equals 8. Now, do 8x4, which equals 32!

PICTURE BELOW....................

Answers

Answer: C

Step-by-step explanation: 45 divided by 18 is 2.5

Jonas received a gift card of 35.00 to use for an online app market to buy applications for his tablet. All applications cost 1.75. Which table represents the relationship between x, the number of apps Jonas can buy, and y, the balance remaining on his gift card

Answers

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

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

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

Help please stat! Brainlist!

Answers

Answer:  11.71 meters per second.

PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)

Step-by-step explanation:

What is incorrect About this proof? What needs to be done to correct it?why ?

Answers

I think 3 and 4 are switched. 3 should be side- side-side congruence And 4 should be CPCTC. And in 3rd one it should be triangle ANX equals NBY

Please help solve this​

Answers

Answer: ∞

Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

Answer:

scalene

Step-by-step explanation:

no sides are the same

which expression represents"divide the sum of x and 2 by 4"?

Answers

Answer:

Step-by-step explanation:

pix

Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.



Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?​

Answers

Answer:

Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.

Step-by-step explanation:

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.

At store R, we get the fourth tire for free, if we buy three tires.

Each tire costs $150, so the cost of 3 tires is .

So at store R, we get 4 tires for $450.

At store S, if we buy 4 tires, we pay $70 off for each tire.

Each tire costs $200, so the cost of 4 tires is

If we get $70 off for each tire, we get  for 4 tires.

So at store S, we get 4 tires for

So at store S, we get 4 tires for $520.

Step 2:

At store T, if we buy 4 tires, we pay $200 off the total price.

Each tire costs $175, so the cost of 4 tires is

If we get $200 off the total price, we get  for 4 tires.

So at store T, we get 4 tires for $500.

At store V, if we buy 4 tires, we get 10% of the total price.

Each tire costs $130, so the cost of 4 tires is

If we get 10% off the total price, we get  for 4 tires.

So at store V, we get 4 tires for $468.

Step 3:

So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.

So Isaiah will get the lowest price on 4 tires at store R.

What is this? Please answer with an explanation

Answers

At 5 and you do this by setting the inside equal to 0 and solving for x

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Factorize: Challenge problem:
x^2+19x+78
help :)

Answers

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

Which relation diagram represents a function?

Answers

Answer:

It is going to be the first one on the top left.

Step-by-step explanation:

the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.

A relation will be a function if for every single input there is only one output thus option (A) is correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given diagrams,

A relation will be a function if for every single input there is only one output.

In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.

In the first diagram for  every single input there is only one output.

Hence "A relation will be a function if for every single input there is only one output".

For more about the function,

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Write the fraction as a decimal

4 -8
11

4 , and 8 over 11


Answers

Answer: 52

Step-by-step explanation:

11×4=44+8=52

Answer:

I'm pretty sure its 4.727

instant help guys please,I need this in about ten minutes.
please help I'll give brainiest to correct answer

3*9^1+X=27^-x.find x​

Answers

Answer:

x=0

Step-by-step explanation:

3*9+x=27-x [9^1=9]

27+x=27-x

27-27= x+x

2x=0

x=0

Select the correct answer from the drop-down menu.

need help fast please!​

Answers

Answer:

i think its the first one

Step-by-step explanation:

if u subtract it , then it shouldn't be given a + sign at all

it should stay subtraction

have a good day! :)

plz give me brainliest

Answer: -7x to the seventh power+ x

Step-by-step explanation:

Find the first four terms of the arithmetic sequence
where a1 = 2 and d = 5 (use formula)

Answers

Answer:

first four terms are 2, 7, 12, 17

Step-by-step explanation:

use this formula:  [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d

where 'n' equals the position in the sequence the term is in and 'd' is the common difference

if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula

[tex]a_{1}[/tex] = 2

[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7

[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12

[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

We have,

First term = 2

Common difference = 5

First term = 2

Second term = 2 + 5 = 7

Third term = 7 + 5 = 12

Third term = 12 + 5 = 17

Thus,

The first four terms of the arithmetic sequence are 2, 7, 12, and 17.

Learn more about arithmetic sequence here:

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