The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season.




Mean(x) = sum of 32 observations / 32 = 7.97



Standard deviation( sd )=2.62



Sample Size(n)=32



Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?

Answers

Answer 1

Answer:

A)CI 90 % = [ 7,2103 ;  8,7297]

B) s = √ ∑(xi - xp)²/n-1

c) z is the score for the given significance level in this case is 1,64

Step-by-step explanation:

For a confidence Interval of 90%, the significance level is α = 10 %

α = 0,1     α/2 = 0,05  and from z-table we find  z(c) for 0,05   z(c) = 1,64

CI 90 % = [ x  ±  z(c) * s/√n ]

CI 90 % = [ 7,97 ±  1,64 * 2.62/√32]

CI 90 % = [ 7,97 ± 0,7597]

CI 90 % = [ 7,2103 ;  8,7297]

B) To calculate the standard deviation of the sample the equation is:

s = √ ∑(xi - xp)²/n-1

xi - xp  is the difference between each one of the elements of the sample

xp is the mean or average of the elements of the sample and n is the sample size


Related Questions

Selecciona la alternativa donde NO se ocupan números enteros
a) Recorrido de un ascensor.
b) La temperatura ambiental.
c) La talla de zapatos.

Answers

Answer:

Selecciona la alternativa donde NO se ocupan números enteros

a) Recorrido de un ascensor.

b) La temperatura ambiental.

c) La talla de zapatos

I NEED HELP ASAP

The volume of a cylinder is 14,130 ft 3 . If the diameter is 30 feet, calculate the height of the cylinder

Answers

Answer:

V = PI*r2h

In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.

Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.

V = pi * r2 * h

= pi * 32 * 5

= pi * 9 * 5

= 3.14 * 45

= 141.37 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.

The height of the cylinder is given by h = 20 feet

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the height of the cylinder be h

Now , the volume of the cylinder V = 14,130 feet³

The diameter of the cylinder d = 30 feet

So , the radius of the cylinder r = d/2 = 15 feet

And , Volume of Cylinder = πr²h

On simplifying , we get

14,130 = π( 15 )²h

Divide by 225 on both sides , we get

πh = 62.8

Divide by π on both sides , we get

h = 62.8 / 3.14

h = 20 feet

Therefore , the value of h is 20 feet

Hence , the height of the cylinder is 20 feet

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The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers?
Please help!

Answers

Answer:

srry its 31 and 10

Step-by-step explanation:

the numbers are 20 and 21

Hope I helped! :)

Can somebody help me out my grade are bad

Answers

Answer:

N-3

Step-by-step explanation:

Can someone Simplify this.
(2a+5)^2

Answers

Answer:

[tex]4a^{2} + 20a+25[/tex]

Step-by-step explanation:

[tex]( 2a+ 5 ) ( 2a + 5 )[/tex]

[tex]2 a ( 2 a + 5 ) + 5 ( 2 a + 5 )[/tex]

[tex]4 a^{2} + 1 0 a + 5 ( 2 a + 5 )[/tex]

[tex]4a^{2} + 1 0 a + 1 0 a + 2 5[/tex]

[tex]4a^{2} + 20a+25[/tex]

Answer:

[tex]4a^{2}[/tex]+20a+25

Step-by-step explanation:

Match each expression in List A with an equivalent expression from List B.

Answers

Answer:

B——1

C——3

The answer u got in A and D r correct

Step-by-step explanation:

B=5x+10y-20y+5x=10x-10y=10(x-y)—- 1

C——3

This pattern repeats every 4 terms. The pattern is square, hexagon, pentagon, triangle. What is the shape in the 13th term of this pattern? sorry if it looks weird i dont know why it does

Answers

Answer:

the answer is square

Square (first one) :)

Just count up to 13 while moving to the right and you get your answer :)

The length of a rectangle is represented by (2x2 - 5x + 5) cm and the width is represented by (x2 + 4x - 3)cm. What is the representation of the perimeter?

Answers

Answer:

its A

Step-by-step explanation: i guessed

I NEED HELP ASAP THIS IS DUE IN 10 MIN HELP MEE

Answers

Answer:

Step-by-step explanation:

i cant see it. its not letting me zoom in ill help you but i cant see it

Answer:

8, 8

Step-by-step explanation:

it would be 8, 8 because all the way in the upper right hand corner would be where the x and y axis meet and equal 8, 8

The diameter of a circle is 50.267 feet. Find the circumference of the circle and use 3.14 for π. Round your answer to the nearest whole number.

The circumference is
feet.

Answers

Answer:

C=2πr=2·π·25.13≈157.9153

Step-by-step explanation:

Anika buys a pair of shin guards for $8.58 and several pairs of soccer socks for $4.29 per
pair. If she spends $25.74 before taxes, how many pairs of socks does Anika buy?

Answers

Answer:

The answer is 4 pairs of socks

Step-by-step explanation:

So basically long story short, this is a simple division and multiplication problem.

Which is an expression for 175 without a perfect square factor in the radicand?

Answers

The answer is b. Because the square root of 175 is

Find the angle of x please

Answers

Answer:

i believe the answer is x= 85

simply 1/2 square root of 32

Answers

1

32
=

2
8

Explanation:
Here,
1

32

=
1

(
2
2
)
2

2

=
1
4

2


2

2

=

2
8

Factor the expression
9x - 36

Answers

9(x-4) is the correct answer

Answer: 9(x−4)

Step-by-step explanation: Hope this help :D

(x+3)^2=43

When taking the square root of both sides of this equation, how many solution will the equation have?

Answers

the answer is 2 hope this helps
It will be two because there is the possibly of a negative and a positive

please help for all equations please. use the pythagorean theorem!!! i will give brainlyiest to the most helpful answer

Answers

Answer:

Do 15^2 +10^2=c^2 than put answer Into \sqrt()

Step-by-step explanation:

Step-by-step explanation:

Ok, so the pythagorean theorem is  a^2 + b^2  = c^

where c is the hypotenuse and b and a are the the other 2 sides

9) 10^2 + b^2 = 15^2

100 + b = 225

-100       -100

b^2 = 125

sqrt of 125 = 5

b = 5

10) 2^2 + 5^2 = C^2

4 + 25 = c^2

sqrt of 29 = c

c = [tex]\sqrt{29\\}[/tex]

11)  42^2 + a^2 = 48^2

1764 + a^2 =2304

-1764            -1764

a^2 = 540

a = [tex]6\sqrt{15}[/tex]

GIVING BRAINLIEST, EASY 7TH GRADE MATH PROBLEM.

Answers

Answer:

Step-by-step explanation:

c

Matching the Transformed Function to its Graph

Use your knowledge of transformations to find the matching graph.
f(x) = 2 sqrt x + 1

Answers

Answer:

D

Step-by-step explanation:

Used graphing calculator. Correct on edge.

By transformations, the resultant graph will be option D.

What is called Dilation?Dilation is a non-rigid transformation that stretch the graph vertically.If F(x) = k.f(x), then the graph will stretch vertically by k units.

What is translation?Translation is a rigid transformation that shift the graph upwards or downwards.If F(x)=f(x)+k, then the graph shift upwards k units.If F(x)=f(x)-k, then the graph shift downwards k units.

Hence, the resultant graph of

[tex]f(x) = 2 \sqrt{x } + 1[/tex]will be option D.

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The circle is divided into 3600 equal parts. Point O represents the center of the circle. The measure of angle

Answers

Answer:

0.1°

Step-by-step explanation:

Okay so, a circle is 360° and the circle is divided into 3600 parts. So, to find the measurement of one of those angles, we would do 360°/3600= 0.1°.


A group of friends wants to go to the amusement park. They have no more
than $110 to spend on parking and admission. Parking is $19.25, and tickets
cost $30.25 per person, including tax. Write and solve an inequality which
can be used to determine x, the number of people who can go to the
amusement park.

Answers

Answer:

if the number of the friends is x...

19.25+30.25x  ≤ 110

                    x ≤ 3

The answer is 110 is greater than or qual to 30.25x +19.25

36x+27y in factored form

Answers

9(4x+3y) there you go

A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. Are the conditions for inference met?

No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.

Answers

Answer:

2 one is the right one

Step-by-step explanation:

If 5 inches represent 12 miles, how many inches represent 108 miles?

Answers

45 inches would represent 108 miles: 108/12 = 9 * 5 = 45
divide 108 by 12 to get 9 then multiply that by 5 to get =45

tudents in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.

A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

Answers

Answer:

A, D, E

Step-by-step explanation:

GOT IT RIGHT ON EDGE

The true statement about the histogram are

(a) the median and the mean are approximately equal(d) the histogram would have an approximately normal curve(e) there are more data elements between 6 and 9.

How to interpret the histogram?

The dataset is given as:

5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5

Using a statistical calculator, we have the following summary:

Mean = 7.43

Median = 7.5

Notice that the median and the mean are approximately equal

i.e. 7.43 ≈ 7.5

When the mean and the median are equal, the histogram would have an approximately normal curve

Also, when the dataset is sorted, we have:

5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10

Notice that there are more data elements between 6 and 9.

Hence, the true statement about the histogram are (a), (d) and (e)

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Given the isosceles trapezoid, find the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

The lower base angles are congruent, so

4x + 41 = 85 ( subtract 41 from both sides )

4x = 44 ( divide both sides by 4 )

x = 11

8. Let U= {x:x e P and x< 12} be the
universal set and A = {1, 3, 5, 6, 7},
B= {4, 6, 7,9}.
Find: i) A' ii) B' iii) An B'​

Answers

Answer:

b is a answer I think so hmmm

Find AB round to nearest tenth

Answers

Answer:

Step-by-step explanation:

take 55 degree as reference angle

using sin rule

sin 55=opposite/hypotenuse

0.81=AB/14

14*0.81=AB

11.34=AB

11.3=AB

Answer:

9.8

Step-by-step explanation:

I think so, probably

What was the function of the polis as it developed in Greek civilization?

Answers

Answer: "A city-state, or polis, was the community structure of ancient Greece. Each city-state was organized with an urban center and the surrounding countryside. Characteristics of the city in a polis were outer walls for protection, as well as a public space that included temples and government buildings."

"The polis was a structure of community amongst the ancient Greek world and it controlled a surrounding territory of land. An individual polis was independent from the other poleis in regards to legal, religious, social, political and judicial institutions and practices."

Answer:

~The function of the polis as it developed in Greek civilization is it was designed for areas such as private, public, religious functions and buildings. It was often used in the Iron age development for public buildings. Hoped that helped.~

Step-by-step explanation:

Which net represents this box?​

Answers

Answer:

image

Step-by-step explanation:

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