TThe Education Trust publishes data on U.S. colleges and universities. Six-year graduation rates and student-related expenditures per full-time student for 2007 were reported for the seven primarily undergraduate public universities in California with enrollments between 10,000 and 20,000. Suppose that a 90% confidence interval for the prediction of student expenditures at a university with a graduation rate of 40% was (5,304, 8,686).

Required:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
b. Calculate the margin of error.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.

Answers

Answer 1

Answer:

a) The point estimate is 6995.

b) The margin of error is of 1691.

c) The standard error is of 1000

Step-by-step explanation:

a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.

The point estimate is the mean of the two bounds of the confidence interval. So

[tex]P = \frac{5304 + 8686}{2} = 6955[/tex]

The point estimate is 6995.

b. Calculate the margin of error.

The margin of error is the difference between the bounds and the point estimate. So

M = 8686 - 6995 = 6995 - 5304 = 1691

The margin of error is of 1691.

c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.

Now I have to expand a bit into the confidence interval.

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

The margin of error is:

[tex]M = zs[/tex]

In which s is the margin of error.

We have that M = 1691. So

[tex]M = zs[/tex]

[tex]s = \frac{M}{z} = \frac{1645}{1.645} = 1000[/tex]

The standard error is of 1000


Related Questions

a² + b² = c²

a = x
b = x
c = 9√2

please help me find the value of x, asap!

Answers

Answer:

x = 9

Step-by-step explanation:

According to Pythagoras theorem a² + b² = c²

Given that

a = x

b = x

c = 9√2

Substitute'

x² + x² = (9√2)²

2x² = 81 * 2

x² = 81

x = √81

x = 9

Hence the value of x is 9

9 ft. 15 ft The volume of the figure is cubic feet. 15 ft. 15 ft​

Answers

Answer:

4,050 cubic feet

Step-by-step explanation:

The figure is made up of a square pyramid and cube

Therefore:

Volume of the figure = volume of the square pyramid + volume of the cube

✔️Volume of the square pyramid = ⅓*a²h

a = 15 ft

h = 9 ft

Volume of square pyramid = ⅓*15²*9 = 675 ft³

✔️Volume of the cube = s³

s = 15 ft

Volume of the cube = 15³ = 3,375 ft³

✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet

Zaiyara had a long strip of ribbon for making crafts. The strip of ribbon had a length of 12.21 inches. Zaiyara needed to cut it into 3 equal pieces. How long would each piece be?
A:9.21 inches
B:6.02 inches
C:15.21 inches
D:4.07 inches
Plss need the answer will mark brain least if correct!

Answers

Answer:

D

Step-by-step explanation:

10. A tennis racquet costs $89.50. How much do you save when the store advertising that it will pay the tax?​

Answers

Answer:

It depends on the amount of tax. That also depends on the state of the sale.

Step-by-step explanation:

You save $5.82 if the store is giving paying for your tax. Please give me 5 stars

If quadrillateral has sides that measure 4 in and angles that all measure 90 we can consider the quadrilateral to be

Answers

We can consider the quadrilateral to be a square.

Ryan wrote a number on his paper. His number rounds to 350 when rounded to the nearest ten. His number rounds to 300 when rounded to the nearest hundred. Enter a number that Ryan could have written.

Answers

Answer

342 is one

Step-by-step explanation:

An artist is using right triangles in her design. If all the
triangles have an angle measure of 30°, what is the
measure of the third angle?
A) 150
B) 50
C) 60
D) 120

Answers

I think it’s C because a triangle is 180 degrees and it’s a right triangle which means there is a 90 degrees angle + 30 degrees.
90+30=120. 180-120=60
Which means the third angle is 60 degrees
the answer is c!!!!!!!!

please solve f(x)=2x+3 ​

Answers

Answer:

-3÷2

Step-by-step explanation:

if you have solving for x

1st step: will be to set up the function =0

so 2x+3=0

then 2x=-3

so x= -3/2

Find the slope of the line that passes through (2, 5) and (9, 1). Simplify.

Answers

Answer:

-4/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-5)/(9-2)

m=-4/7

The sum of two numbers is 80.6. One of
the numbers is 9 times the other. What
are the two numbers?

Answers

X+y= 80.6
9x=y
Then x+9x=10x=80.6
X=8.06
Y=72.54

Evaluate and simplify the expression when r=2 and s=3

Answers

Answer:13

Step-by-step explanation:plug in the the numbers

Answer:20

Step-by-step explanation:

I’m smart

a stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick​

Answers

Find the scale factor of the height:

6.5cm / 2.5cm = 2.6

Multiply the known pages by the scale factor:

150 x 2.6 = 390 pieces of paper.

Manny bought 5 pounds of dog food for $8.00. At this rate, how much would 15
pounds cost? *

Answers

Answer:

24 dollars

Step-by-step explanation:

each pound is $1.60 and 15 times $1.60 equals 24

Answer:

$24

Step-by-step explanation:

5/8=15/x

cross product

8*15=5*x

120=5x

x=120/5

x=24

One number is 7more than twice the other number. If the sum of the two numbers is ​25, find the two numbers.

Answers

Answer:

6 and 19

Step-by-step explanation:

x+2x+7=25

3x=18

x=6

the other number is 19

5 + 2x = 13
Solve for x

Answers

5+2x=13
2x=13-5
2x=8
X=4

When the football play started,
Tony ran forward 20 yards,
then turned around and ran 5 yards back.
He stood in that spot for 3 seconds,
then walked back to where he began.

Answers

type this question into Brainly someone has asked the same question & got the answer

You pick one tile without looking from a bag that has 2 blue, 3 red, and 5 yellow tiles. Find each probability. Write your answer in simplest form.

Answers

Answer:

Blue: 1/5

Red: 3/10

Yellow: 1/2

Using the formula for the difference of squares, calculate: (100 - 3)

(100 + 3).​

Answers

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanations are below

Step 1

(100-3)  Observe the equation

Step 2

(100-3)  Simplify

100-(+3)

100-3

Answer: 97

Can someone help with this?!

Answers

Answer:

-12r + 8s

Explanation:

Since there is a subtraction sign in front of 16r, to combine it with 4r, it must be subtracted, resulting in -12 r (to subtract a greater number from a smaller number, subtract the smaller number from the greater number and make it negative). Since there is an addition sign in front of 3s, to combine it with 5s, the two must be added. 5s + 3s = 8s. When combined, the result is -12r + 8s.

The square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14. What are the new dimensions of the pool?​

Answers

[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]

[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]

The new dimensions of the pool are; Width = 9 and Length = 20.

What is rectangular figure?

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.

[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]

The root of the expression;

[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]

The dimensions are;

Width = 3 + s = 9

Length = 14 + s = 20

Learn more about the rectangle here;

https://brainly.com/question/15019502

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Christopher works as a translator of
literature. He gets paid different
amounts for translating articles and for
translating book chapters. In January,
he was paid $340 for translating 3 book
chapters and 2 articles. In February,
he was paid $380 for translating 1 book
chapter and 6 articles. How much is
Christopher paid, in dollars, to translate
each article?

Answers

Answer:

50$

Each book is equal to 80 now here's the math

50x2=100 340-100=240/3=80

380-80=300/6=50

This is all coming from a high schooler so I may be wrong however this is pretty basic and if I'm wrong flame me man

Ashley has 4 pairs of low-top sneakers, 7 pairs of high-top sneakers, 3 pairs of sandals, and 1 pair of boots. What is the ratio of the pairs of low-top sneakers to the total number of pairs of shoes

Answers

The ratio of low-top to the total number of shoes is 4:15

The ratio is 4:15

what is ratio?

A ratio indicates how many times one number contains another.

Given:

low-top sneakers= 4

high-top sneakers= 7

sandals= 3

boots = 1

Total shoes= 15

Now,

low- top sneakers : totals shoes

=4:15

Learn more about ratio here:

https://brainly.com/question/23499990

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Extreme Temperatures. The hottest temperature ever recorded in the United States was 134?F, which occurred at Greenland Ranch, California, in Death Valley on July 10, 1913. The coldest temperature ever recorded in the United States was -80?F, which occurred at Prospect Creek Camp, Alaska, in the Endicott Mountains on January 23, 1971. Determine the difference between these two temperatures.

Answers

Answer:

214

Step-by-step explanation:

Triangle TUV is dilated by a scale factor of 3/4 to form triangle TUV. Side UV
measures 18. What is the measure of side U'V'?

Answers

i think it would be 18 inches on side U’V

Prove that: cotθ - tanθ = 2cos²θ - 1/sinθcosθ

Need help, fast!​

Answers

See attachment to get your answer. Thanks.

If you graphed the equation, y = -6, what kind of line would you create?

Answers

it would be a straight line

At a baseball game, 87% of people attending were supporting the home team, while
13% were supporting the visiting team. If the total number of people attending the
game was 4400, how many people attending were supporters of the home team?

Answers

Answer:

3828 people

Step-by-step explanation:

Help me with number
4,5,6,7

Answers

Answer

number

4.D

5.B

6.C

7.BHopes this help

Calls to a customer service center last on average 1.4 minutes with a standard deviation of 1.7 minutes. An operator in the call center is required to answer 52 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day

Answers

Answer:

the expected total amount of time in minutes is 88.4

Step-by-step explanation:

The computation of the expected total amount of time in minutes is given below:

= Standard deviation × needed to answer calls each day

= 1.7 × 52

= 88.4

hence, the expected total amount of time in minutes is 88.4

On a standardized exam, the scores are normally distributed with a mean of 135 and a
standard deviation of 20. Find the Z-score of a person who scored 115 on the exam.

Answers

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]

to get (115-135)/20 = -1

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