A researcher is going to estimate the average typing speed of students of a college. He selects a random sample of 20 students and finds the average typing speed of 70 wpm and the standard deviation of 5 wpm. Estimate the margin of error of the 90% confidence interval of a student's average typing speed. Express your answer using THREE decimal places.

Answers

Answer 1

Answer:

The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7291

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have [tex]s = 5, n = 20[/tex]. So

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

[tex]M = 1.7291\frac{5}{\sqrt{20}}[/tex]

[tex]M = 1.933[/tex]

The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.


Related Questions

Please help! its due today!!

Answers

Answer:

14

Step-by-step explanation:

a=1

b=2

d=2

c=10

K+L = 10¹+2² = 10+4 = 14

help quicklyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer: A.

Explanation: 4 + -4 = 0 and 3 - 3 = 0

Answer;

I think the answer is

(c.) 1 and -12

Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line?
O Create only one arc that intersects the original line.
O Create two arcs that intersect the original line.
O Place the compass on a point off the original line.
O Place the compass on a point on the original line.

Answers

Answer:

Place the compass on a point on the original line.

Step-by-step explanation:

The correct option is - Place the compass on a point on the original line.

Answer:

thats wrong

Step-by-step explanation:

this is pythagorean theorem and i do not understand pls help me !!

Answers

Answer:

What are we supposed to find?

If you’re trying to find the 3rd triangle measurement do 9^2 + 7^2 = c^2
9^2= 81
7^2= 49
81+49= 130
130= c^2
Then you need to square root 130
Which should be 11.4

A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once:________.
A. the sample could not have been random
B. the sample may have been selected without replacement or with replacement
C. the sample had to have been selected without replacement
D. the sample had to have been selected with replacement

Answers

Answer:

C

Step-by-step explanation:

It is determined that no subscriber had been selected in the sample more than once the sample had to have been selected without replacement.

What is the sample?

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

If it is determined that no subscriber had been selected in the sample more than once, this means that each subscriber was only included once in the sample. This can only occur if the sample was selected without replacement, meaning that each subscriber was selected once and only once from the population frame.

Therefore, the correct answer is C. the sample had to have been selected without replacement.

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

What is the area of the quadrilateral and what is the perimeter

Answers

Answer:

Area of Trapezoid = (b1 + b2)h

                                         2

Area = (9 in + 17 in) (3 in = 1/4 ft)

                      2

A = (26 in)(3 in)/2

A = 78 in2/2

A = 39 in2

Perimeter = bi + b2 + 2l

             P = 9in + 17 in + 2(5 in)

             P = 26 in + 10 in

             P = 36 inches

1. Find the mean of the data set: 11, 8, 18, 9, 15, 11.


Please help asap!​

Answers

Answer:

12

Step-by-step explanation:

The mean is the average. Which is all of the numbers added together divided by the amount of numbers.

11+8+18+9+15+11=72

72÷6=12

Answer:

12

Step-by-step explanation:

11 + 8 + 18 + 9 + 15 + 11 = 72

Divide by how many numbers are in the list.

there are 6 in the list so 72 divided by 6 = 12

Formula: Add all of the numbers together. Then take that answer and divide it by how many numbers in the set list there are.

Hope this helps!

Have a lovely day!

Find the measure of the angle indicated by the red arrow.

Answers

Answer:

The angle is: [tex]\frac{4\pi}{3}[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The measure of the red arrow

Let the angle be [tex]\theta[/tex]

So, we have:

[tex]\theta =180 +[/tex]the green arrow

This gives:

[tex]\theta = 180 + \frac{\pi}{3}[/tex]

180 degrees in radian is:

[tex]180 \to \pi[/tex]

So, we have:

[tex]\theta = \pi + \frac{\pi}{3}[/tex]

Take LCM

[tex]\theta = \frac{3\pi+\pi}{3}[/tex]

[tex]\theta = \frac{4\pi}{3}[/tex]

Plz help I’ll give a crown

Answers

Jake is the answer :)

Consider the piecewise function shown on the graph, which is composed of polynomial, constant, and exponential pieces.
Over which interval of the domain is the function increasing?
A. (1,4)
B.(-infinity, 4)
C. (-infinity, 1)
D. (-infinity, -4)

Answers

Answer:

inifiity, -4

Step-by-step explanation:

The interval of the domain is the function increasing is (-infinity , 4)

What is a function ?

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as Function(x). The range of a function is the set of values that the function assumes.

This set is the values that the function shoots out after we plug an x value in.

In the given graph

we can see that the value of x and function(x) starts increasing from -infinty and continues to keep increasing uptil x = -4

So the interval of the domain is the function increasing is (-infinity , 4)

To know more about Function

https://brainly.com/question/12431044

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I need help for the bottom one :) thanks buddies and i will give brainliest out to someone who gives me the answer.

Answers

Answer: 16

Step-by-step explanation: because for every 1 tbsp. of lime zest is 2 egg yolks and 8 times 2 is 16 since you have 8 tbsp.

96g + 80f and explain

Answers

Answer:

16(6g + 5f)

Step-by-step explanation:

To factor 96g + 80f, we must find the GCF of 96 and 80. We don't factor g and f since they're totally different and can't be factored.The GCF of 96 and 80 is 16.

To factor the equation:

96g + 80f

16(6g + 5f)

Jakob simplified the expression as shown.

pleas help, thanks!

Answers

Answer:

Step-by-step explanation:

The last answer is correct

What is angle M and N and the length of NP

Best answer gets brainliest!!!!

Answers

Answer:

3

Step-by-step explanation:

Answer:

Angle M and N is 45 degrees, and the length of NP is approximately 6 cm

Step-by-step explanation:

With angle P being 90 degrees. The angles of M and N, must add up to 90 degrees as well.

 *triangles add up to a total of a 180 degrees, (180 - 90 = 90)

   9 ÷ 2 = 45

   So: ∠M = 45° and ∠N = 45°

To find the length of NP, use the pythagorean theorem.

a² + b² = c²

a = MP = 5

b = NP = x

c = MN = 7.8

(5)² = 25

(7.8)² = 60.48

25 + x² = 60.48

x² = 60.48 - 25

x² = 35.84

x = √35.84

x = 5.986 = 5.99

NP = 5.99 = 6

In the regular season, a player's batting average is 0.253.
In a series with 9 at bats, around how many hits would you expect the player to get?
bility

Answers

Baby baby baby baby baby bay

Helpppp!! This is wayyyy overdue and i only have a couple more questions on this paper.

Answers

Answer:

10.2a+3+3a-1+a

= 6a+2

=2(3a+1)

11)2y-1+3y-2+2y+2+2y-2+y

=10y-3

An 18% tip was left on a $105 restaurant bill. How much are money should be
left for the bill?

Answers

Answer:

to calculate a 18 percent tip on a $105 bill.

What should I tip on 105 dollars? How much is the tip for $105?

Tip $18.90

Total $123.90

Step-by-step explanation:

Put the percentage in decimal form (0.18) then multiply the cost by this number. 26.50 * 0.18 = 4.77. So your tip is $4.77.

How is everbody doing today?

Answers

Answer:

:)))))))))))))))))) boring

Answer:

Doing alright.

Thanks for asking.

Step-by-step explanation:

please ill mark brainliest just gotta tell me how xd

Answers

Answer:

gkxodydyodylxlyculxylxl

MPG (miles per gallon) Formula:
Example Problem: Abdullah drove 1800 miles on 50 gallons of
gasoline. Find his gas mileage, rounded to the nearest whole
number, mpg.
PLEASE HELP

Answers

Answer:

36 mpg

Step-by-step explanation:

the gas mileage= 1800/50 = 36 mpg

Cassie rolls a fair number cube with 6 faces labeled 1-6. She rolls the number cube 300 times. Which result is most likely?

a.Cassie will roll a 1 or 2 about 50 times.

b.Cassie will roll an even number exactly 150 times.

c.Cassie will roll a 1 or 2 exactly 50 times.

d.Cassie will roll an even number about 150 times

Answers

Answer: B

Step-by-step explanation:

Process of elimination:

A: 1 or 2 is 2 favorable outcomes

2/6 or 1/3

one third of 300 is 100, not 50

B: 2, 4, and 6 are even numbers (3 favorable outcomes)

3/6 or 1/2

1/2 of 300 is 150

I say the answer is B. Sorry if I’m wrong.

pls help finding this out

Answers

there are only 2 right angles
I’m not too sure but I think the corner S is the only right angle

no fake annswer help needed!!!!!!

Answers

Answer:

C.

Step-by-step explanation:

Answer:
C.

Steps to solve it:

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:

90+51+x=180(sum of interior angles of a triangle)

141+x=180

x=180-141

x=39 degree

Step-by-step explanation:

Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle

90 degrees
65 degrees
25 degrees
155 degrees

Answers

9514 1404 393

Answer:

  (b)  65 degrees

Step-by-step explanation:

When angles are complementary, their total is 90°. The measure of the other angle is ...

  90° -25° = 65° . . . . . the measure of the other angle

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Answer:

The length of the missing leg is 56 meters.

Step-by-step explanation:

Use the Pythagorean theorem to figure out the leg of the missing leg.

Formula: a^2+b^2=c^2, given a=leg, b=leg, and c=hypotenuse

The hypotenuse is 65 meters, and one of the legs is 33 meters, so plug it into the formula and solve for a.

a^2+33^2=65^2

a^2+1089=4225

a^2=3136

Take the square root of both sides, and you get 56 meters.

Answer:

a = 56.

Step-by-step explanation:

Step 1: Mathematics: Define and explain.

In order to find the missing side of a right triangle, you must use the Pythagorean Theorem.

This theorem states that the legs of a triangle, squared, must equal the hypotenuse, squared.

The legs of the triangle are the sides that form the right angle. Which in this case, are 33 m and 'a.'

The hypotenuse is the longest side, which in this case, is 65 m.

Step 2: Mathematics: Solve.

[tex]theorem-a^2+b^2=c^2[/tex]

[tex]legs-a,b[/tex]

[tex]hypotenuse-c[/tex]

Now, I will solve for one of the legs.

[tex]a^2+33^2=65^2[/tex]

[tex]a^2+1089=4225[/tex]

[tex]4225-1089=3136[/tex]

[tex]a^2=3136\\[/tex]

[tex]a=56[/tex]

Step 3: Mathematics: Conclude

Therefore, the missing side is 56 meters.

Q10. Use substitution. What is the solution of the system of equations?
Explain. *
y= 1/2x + 2
2y = x +4
Your answer

Answers

(x,y)=(0,2)
I explained in the photo

Indiana now has 8 different area codes. How many different phone numbers are available within Indiana if the numbers can repeat? Remember that phone numbers have an area code followed by 7 digits.

Answers

Answer:

Well, this could turn out to be a simple permutation problem: you have ten number choices (0-9) for each digit of a phone number and repetitions are allowed. Technically, there could be as many as \begin{align*}10^{10} = 10,000,000,000\end{align*}, or 10 billion possible phone numbers.

Step-by-step explanation:

:D

Gotta make this fast, im running out of points.

Answers

Answer:

335 mm²

Step-by-step explanation:

This will be so easy, that you can do it in the future by yourself!

Okay let's start by splitting this figure, the easiest way seems to be by cutting off that little part, you know what just let me show a picture.

Okay you shuold be able to see the picture, so the small square has an area of 20, since 5 times 4 is 20 mm! The larger square has an area of 315!

How did I find this? Take that small 10mm in the side and add it to 5mm, that would be 15. 15 times the bottom the width, it would be 15 * 21. 15 times 21 is equal to 315.

Now, we add both those areas together, to get ourselves a nice little 335 mm²

I hope that helped, have a great day!!

13. Describe the type of solution for the
linear system of equations given below.
(x+4y=7
8y = 14 - 2x

Answers

Answer: infinite solutions

Step-by-step explanation:

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