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

please help me im very behind​

Answers

Answer:

y=4/3x+4

Step-by-step explanation:

The change is Y is +4 and in X in +3, which is how we get the slope..4/3.

And the y-intercept would be 4, which is when x is at 0.

Hope this helps!

Answer:

y=4/3x+4

Step-by-step explanation:

2.a really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. what is the speed of the armadillo​

Answers

Answer:

2 meters per second

Step-by-step explanation:

Hope this helped have an amazing day!

What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60

Answers

Answer:

[tex]y = \frac{224}{15}[/tex]

Step-by-step explanation:

Given

[tex]y = 7x + 14[/tex]

[tex]2x + 4y = 60[/tex]

Required

Find y

First, substitute 7x + 14 for y in the second equation:

[tex]2x + 4y = 60[/tex] becomes

[tex]2x + 4(7x + 14) =60[/tex]

Open bracket

[tex]2x + 28x + 56 = 60[/tex]

[tex]30x = 60 - 56[/tex]

[tex]30x = 4[/tex]

Solve for x

[tex]x = \frac{4}{30}[/tex]

[tex]x = \frac{2}{15}[/tex]

[tex]y = 7x + 14[/tex] becomes

[tex]y = 7 * \frac{2}{15} + 14[/tex]

[tex]y = \frac{14}{15} + 14[/tex]

[tex]y = \frac{210+14}{15}[/tex]

[tex]y = \frac{224}{15}[/tex]

Hence:

[tex]y = \frac{224}{15}[/tex]

The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.

How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.

Answers

Answer:240 visitors are at the zoo

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."

9am-10am is 6 visitors

10am-11am is 6*3=18 visitors

11am-12pm is 18*3=54 visitors

What constant term should be added to both sides to complete the square on the left side?

x^2 - 3/4x + _____ = 10

Answers

Answer:

9/64

Step-by-step explanation:

Given

x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

The square should be in the form of:

(a + b)² = a² + 2ab + b²

We see a = x therefore

2b = -3/4, so b = -3/8 and b² = (-3/8)² = 9/64

So the missing constant term is 9/64

perform each operation (3x-4)(x+4)

Answers

Answer:

x = 4

(don't really know what they mean by perform?)

Step-by-step explanation:

The inequality x S-8 would represent which of the following values?

Answers

S refers to side so it’s 64 = 8x8

The table on the left is that of a linear function, and the one on the right is that of an exponential function.
Can you tell which function has the higher rate of growth? How?
A)
There is not enough information to make a conclusion.
B)
The linear function is growing faster, because at x = 3 the y-value of the
linear function is larger.
C)
The exponential function is growing faster, because at x = 0 the y-value of
the exponential function is larger.
D)
The exponential function is growing faster, because it grows by a factor
that is multiplied by the previous y-value instead of being added like the
linear function.

Answers

Answer:

The answer is option D) The exponential function is growing faster, because it grows by a factor that is multiplied by the previous y-value instead of being added like the linear function.

Step-by-step explanation:

We can easily that by evaluating both functions at x = 10

Linear

f(x) = 7*10 = 70

Exponential

f(x) = 2^(10) = 1024

]
Snow day problem, please answer worth 10 points

Answers

The answer is 35 ;) hope I helped

What is 63 divided by 36?

Answers

Answer:

1.75

Step-by-step explanation:

used a calculator

Answer:

63÷36=1.75

Step-by-step explanation:

itz easy

mark me as a brainlist

A water park sells 168 tickets. Each ticket costs $12. What is the total cost of the tickets sold?

Answers

Answer:

The answer is $2,016

Step-by-step explanation:

Multiply 168 and 12 to get 2016

Have a great day :)

Need help with this one will mark brainliest

Answers

Answer:

circle 3

Step-by-step explanation:

I’m pretty sure it’s the first one!! Plz mark brainliest!!

Write an equation of the line in slope intercept form (0,5)(3,4)

Answers

Find slope (y2-y1)/(x2-x1)
(4-5)/(3-0) = -1/3
Y = -1/3x + b
5 = -1/3(0) + b, b = 5
Equation: y = -1/3x + 5

The slope intercep equation of the following points  (0,5) (3,4) will be y = (-1/3)x + 5.

What is the slope-intercept equation?

A slope-intercept equation is the equation of the two variables x and y in which the form of the equation should be in such a way that it should contain the slope of the given equation.

For example, in the equation, y = mx + c here m will be the slope of the equation and this is the slope-intercept equation.

Another example is y = 3x + 7 here 3 will be the slope of that equation.

Slope m = difference in y coordinate/ difference in x coordinate.

Let's suppose our equation is y =mx + c

now m = (4 - 5)/(3 - 0)

m = -1/3 now for c put both point in the equation we get as 5.

So y = (-1/3)x + 5 will be correct slope intercept form.

For more information about slope intercept form

https://brainly.com/question/9682526

#SPJ2

Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?

Answers

Answer: First you have to take 20% and make it into a fraction 1/5.

Then you multiply 46.5 and multiply it by 1/5 and get 9.3

Add $46.50 and $9.30 and get $55.80

Step-by-step explanation: Hope this helps!! <3

Which sets of angles sum to 180

Answers

Answer:

All of them

Step-by-step explanation:

pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?​

Answers

Answer:

1.2 Liters

Step-by-step explanation:

There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2

Solve for x = X-16/x+6= 3/5

Answers

Answer:

-16/29

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test

24 = 3y Solve for y and show work

Answers

Y=8 Is The Answer I hope this helps

Answer:

y=8

Step-by-step explanation:

because 3×8 is 24

and 8 would be the missing number

Set up an equation that relates the direct variation. D varies directly with t

Answers

Answer:

I really don’t understand the question.. sorry I couldn’t help...

Help me please I need help on this

Answers

Answer:

1 lb

Step-by-step explanation:

Picked up 3/5 and 4/5.

Used 3/8.

Amount now:

3/5 + 4/5 - 3/8 =

= 7/5 - 3/8

= 56/40 - 15/40

= 41/40

Answer: 1 lb

Yes sirrr. 1 pound.

Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.

Answers

Given:

Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.

Then dilated  with a factor of 1/3 to form triangle A"B"C".

To find:

The correct statement for triangles ABC and A"B"C".

Solution:

We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.

So, figures are always congruent to their images after reflection.

[tex]\Delta ABC\cong Delta A'B'C'[/tex]       ...(i)

Dilation is not a rigid transformation. Here, shape remains same nut the size is different.

So, figures are always similar to their images after dilation.

[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex]        ...(ii)

Using (i) and (ii), we get

[tex]\Delta ABC\sim \Delta A"B"C"[/tex]

ΔABC and ΔAB"C" are similar triangles.

Therefore, the correct option is A.

Which of the following is a linear function?
**easy** WILL MARK BRAINLIEST!!!!!!! HELP ASAP!!!!
[tex]a. \: \: \: y = {x}^{3} + 1 \\ b. \: \: \frac{5}{6} x = y - 4 \ \\ c. \: \: \: y = 8 {x}^{2} \\\ d. \: \: \: y = \frac{1}{5x} [/tex]

Answers

Answer:

b

Step-by-step explanation:

b is a linear function, because all you have to do is swap around the equation. It can't be the ones with exponents or the one that has x as a denominator

Answer:

A: y = x^3 + 1

Step-by-step explanation:

Johnny divided 3 1/2 x 4 what number did he get

Answers

Answer:

14

Step-by-step explanation:

3 1/2= 3.5

so...

3.5*4=14

Answer:

14

Step-by-step explanation:

7 / 2 × 4

7 × 2

14

hope it helps!

PLEASE HURRY!!

(a) Billy bought seven cat toys. Each cat toy costs the same amount. He spent a total of $22.75

(a) Write an equation that represents the situation. Use c to represent the cost of each cat toy.


(b) Solve for c and justify your solution by checking your answer.

Answers

Multiple the number of toys bought by c to equal the total spent:

A) 7c = $22.75

B) divide the total spent by the quantity bought:

C = 22.75/7

C = 3.25

Each toy cost $3.75

Find the distance across the bridge

Answers

It’s a bridge-length

Answer the following question:

Answers

Answer:

perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5

If a watch costs $ 40 and you must pay 6.5 % sales tax

Answers

Step-by-step explanation:

you will end up paying $66 dollars

PLZ HELP
Write and solve an equation to find x then find the measure of the unknown angles

Answers

Answer:

1)

8x + x = 180

9x = 180

x = 30

2)

x + 2 = 2x - 40

2 = x - 40

x = 42

3)

2x + x = 90

3x = 90

x = 30

4)

3x + 1 = 4x - 25

1 = x - 25

x = 26

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.

what is the answer to 2/5 times 1/4

Answers

Problem: 2/5•1/4
2•1=2
5•4=20
Answer would be 2/20, but you can still simplify.
2/20 divided by 2= 1/10

The simplified fraction would be 1/10
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