To estimate μ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sample of 400 full professors. The sample mean is ¯x = $73,220 and the sample standard deviation is s = $4400. A 99% confidence interval for μ is:A.) 73220 ± 11440B.) 73220 ± 577C.) 73220 ± 431D.) 73220 ± 28.6

Answers

Answer 1

Answer:

73220±566.72

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = xbar ± z*s/√n

xbar is the sample mean =  $73,220

z is the z score at 99% CI = 2.576

s is the standard deviation = $4400

n is the sample size = 400

Substitute the given values into the formula;

CI = 73,220 ± 2.576*4400/√400

CI = 73,220 ± 2.576*4400/20

CI = 73,220± (2.576*220)

CI = 73220±566.72

Hence a 99% confidence interval for μ is 73220±566.72


Related Questions

tosta las siguientes preguntas
a) ¿Qué fracción de la barra completa me quiere regalar Memo?
b) ¿Qué fracción de la barra completa me regalaria si decide darme solo la tercera parte de lo que tiene
c) ¿Qué fracción seria si decide darme 275 partes de lo que le queda?
do queremos calcular ura fracción de una fracción, en realidad se traduce en una multiplicacion
one
La cuarta parte de la mitad

Answers

C ig JWJWKKWKWOSjjkk

GIVING BRAINLIST ASAP

Find the sales price:

$45.50 book, 30% discount

Round your answer to the nearest cent (hundredths place)

Answers

Answer:

$32.00

Step-by-step explanation:

Answer: $65.00 or 6500 cents

Step-by-step explanation:

If original price=100%

and discount= 30%

New value=100-30

70%

If 70%=$45.50

Then 100%=100x45.50/1

=6500

=$65.00 or 6500 cents

-
18 The diagram shows triangle PQR.
Diagram NOT
accurately drawn
P
17.8 cm
360
R
26.3 cm
Calculate the length of PR.
Give your answer correct to 3 significant figures.

Answers

Answer:

The length of PR is 15.8 cm

Step-by-step explanation:

We will solve the question using the cosine rule

In ΔPQR

(PR)² = (PQ)² + (RQ)² - 2(PQ)(RQ)(cos∠Q)

∵ PQ = 17.8 cm

∵ RQ = 26.3 cm

∵ m∠Q = 36°

→ Substitute them in the rule above

∵ (PR)² = (17.8)² + (26.3)² - 2(17.8)(26.3)(cos36)

∴ (PR)² = 316.84 + 691.69 - 936.28(cos36)

∴ (PR)² = 251.0635685

→ Take √ for both sides

PR = 15.8449856

→ Correct it to 3 significant figures

∴ PR = 15.8 cm

The length of PR is 15.8 cm

If Triangle ABC is rotated 90 degrees clockwise about the origin, what will be the new coordinates of vertex B?

(A) (-1,-4)
(B) (1.4)
(C) (4,1)
(D) (4, -1)

Answers

Answer:

ithe answer to your question is going to be c

Maria practice the piano 5/6 of an hour everyday. How many hours does she practice in 4 days

Answers

Answer:
10/3 hours

Explanation:
If Maria practices 5/6 hours a day, then she practices (5/6)(4) hours in 4 days.

(5/6)(4)=20/6

20/6 can be simplified to 10/3 hours.

I hope this helps!

find the sum
(−5x2+4x−2)+(−8x2+2x+1)

Answers

Answer:

3[tex]x^{2}[/tex] + 6x - 1

Step-by-step explanation:

(-5[tex]x^{2}[/tex] + 4x - 2) + ( 8[tex]x^{2}[/tex] + 2x + 1)

1.Remove parenthesis

-5[tex]x^{2}[/tex] + 4x - 2 + 8[tex]x^{2}[/tex] + 2x + 1

2. Combine like terms

3[tex]x^{2}[/tex] + 6x - 1

Answer:

I believe that he answer is -8x  squared -x +3.

Step-by-step explanation:

A circular lawn has a row of bricks around the edge. The diameter of the lawn is
about 40 feet.
Question 1
3 pts
Which is the best estimate for the amount of grass in the lawn?
125 feet
125 square feet
1,250 feet
1250 square feet

Answers

Answer:

Step-by-step explanation:

Answer:

Area of the grass in the circular lawn is 1250 square feet

Step-by-step explanation:

Lawn is in the shape of circle having radius = 20 feet

Area of the circular lawn will be represented by the formula,

Area = πr² [ Here 'r' = Radius of the circular lawn]

       = (3.14)(20)²

       = 3.14 × 400

       = 1250 square feet

Therefore, area of the grass in the circular lawn will be 1250 square feet

Answer:

1250 square feet

Step-by-step explanation:

A = pie × radius^2

The question is below (This an order of operation question)

Answers

Answer:

lcm of 3 and 9 is 9

3/4 - 3/4 × ( 2/3 + 1/9 )

0/4 × ( 6/9 + 1/9)

0 × 7/9

0

the answer is zero....

Step-by-step explanation:

when u substract and number by itsself u get 0...

when u multiply 0 by a number you get 0...

i hope this helps...

please give me brainliest if possible......

have a great day ahead :)

Answer: 0. 166

Step-by-step explanation: I used the demos scientific calculator I suggest using it it's awesome!

my favorite snack after a long day at school

Answers

Answer:

My dog

Step-by-step explanation:

Answer:

cheese doodles is it.

Also subscribe to Random Topics trending in youtub.

Step-by-step explanation:

Find the value of X and Y. If your answer is not an integer, express it in simplest
radical form

Answers

It’s 0.4 and x 90. Because I search it

7.385 rounded to the nearest tenth

Answers

Answer:

10 lol..................

Answer:

It should be 7.4

Step-by-step explanation:

How do you know which standardized test statistics you will use? A Z or T?

Answers

Answer:

If you're taking the AP Statistics test, you'll need to know the general formula for a standardized test statistic. Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).

Step-by-step explanation:

Answer:

Standardized test statistics are used in hypothesis testing. The general formula formula is: Standardized test statistic: (statistic-parameter)/(standard deviation of the statistic).

Sorry to bother again, but this is the last one I'll do
Use the distributive property to identify the equivalent expression.

12s + 18r

Group of answer choices :

2(9s + 6r)

6(2s + 3r)

3(6s + 4r)

6(3s + 2r)

Answers

Answer:

6(2s + 3r)?

Step-by-step explanation:

A restaurant bill is $56.39 calculate 20%

Answers

Answer:

$11.29. $56.39 divided by 5, which is 20 percent, gives you around 11.287. Round up, and you get $11.29

Step-by-step explanation:

Answer:

11.278 Is the exact answer.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Write the relation as a set of ordered pairs.

Please help. Thank you.

Answers

Answer:

a

Step-by-step explanation:

because it must write object first before image

Answer: A...

Step-by-step explanation:

they are literally lined up ¯\_(ツ)_/¯

There are 2,380 seats in the auditorium. There were 35 seats in each row of the auditorium. how many rows are there?

Answers

Answer:

There are 68 rows

Step-by-step explanation:

2,380 divided bye 35 is 68

Answer: 68 rows

Step-by-step explanation:

If this helped you put a thanks and review please?!

the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?

Answers

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

Adrian gets a loan for $500 to go on a trip. He borrows the money at 5% interest for 1 year. Find the interest Adrian will pay on the loan.

Answers

Answer:

Step-by-step explanation:

500*5%= $25.00 interest

Find the sum 5.5+7.25-5.5+(-7.25) show your work

Answers

Answer:

5.5+7.25−5.5−7.25 = 0

Step-by-step explanation:

To be honest, you shouldn't have to show work for an equation like this. But this is the answer. Hope it helped.

Answer:

5.5+7.25-5.5+(-7.25)

step 1: add 5.5 and 7.25

12.75−5.5−7.25

step 2: subtract 5.5 from 12.75

7.25−7.25

The answer is 0.

Step-by-step explanation:

Brainliest?

15% of the cost of a computer was tax. If the tax was $180, what was the cost of the computer?
A $1,000
B $1,020
C $1.200
D $1.500

Answers

Answer:

C. 1200

Step-by-step explanation:

that would be C. $1,200.

3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3

PLEASE HELP ME

Answers

Answer:

A

Step-by-step explanation:

remember y=Mx+b where M is slope mad B is y intercept

The ratio of the length to the width of a rectangular field is 4 to 3. If the field is 120 yards long, how wide is the field?

Answers

Answer:

10 yards

Step-by-step explanation:

i think throught a calculator

Sorry if the quality is blurry

Answers

Answer:

False,False,False and last one is true

Write the expression in exponent form.
(9)(9)9)(9)(9)

Answers

Answers

9^5

please make me brainlist

Answer:

9^5

Step-by-step explanation:

My teacher doesnt really explain stuff good cause of her accent. May someone please explain how to do the problem and the correct answer? (no Trolls please) the problem is in the pic below

Answers

Answer:

hey sisters

Step-by-step explanation:

Write the equation of a line that is parallel to the line y=3/2x-4 and contains the point (6,-1)

Answers

Answer:

y = 3/2x - 10

Step-by-step explanation:

Parallelism: The same slope but different intercepts

1 - Using the slope and point given find the new y intercept

y = 3/2x + b

-1 = 3/2(6) + b

-1 = 18/2 + b

-1 = 9 + b

-9  -9

-10 = b

2 - Write the new equation using the same slope but different y-intercepts

y = 3/2x + b

y = 3/2x - 10

>) Jaxson and Bryon collected an equal amount of
money during a car wash. They collected cash and
checks as shown below. If each check is written for
the same amount, x, what is the total amount of
money collected by both boys? Explain.
Jaxson
Bryan
Jaxson
Bryon

Answers

Answer:

Step-by-step explanation:

We need the chart or other information.

Which type of transformation is shown here?
41
O reflection
O translation
O rotation
O dilation

Answers

Answer:

I am pretty sure it is a rotation

Step-by-step explanation:

Reflection will look different

Translation is moving things

And Dilation is making the things bigger or smaller

An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to help answer the question. Metric Table kilo- hecto- deka- unit deci- centi- milli- 1,000 100 10 1 0.1 0.01 0.001 3.5 times 100 3.5 divided by 100 3.5 divided by 10 3.5 times 10

Answers

Answer:

3.5 divided by 100

Step-by-step explanation:

So we know that one millimeter is equal to 0.01

To solve the equation you would multiply 3.5 x .01 = .035

Another way would be if you divide 3.5/100 = .035

Hope that helps and have a great day!

Answer:

b

Step-by-step explanation:

write the equation in slope-intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x+12

Answers

Answer:

[tex]y = -\frac{2}{3}x - 7[/tex]

Step-by-step explanation:

Given

[tex]Point = (6,-11)[/tex]

[tex]Equation: y = -\frac{2}{3}x + 12[/tex]

Required

Determine the equation of the point

First, we need to determine the slope of the point.

Since the point is parallel to the given equation, then they have the same  slope (m).

The general form of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m = -\frac{2}{3}[/tex]

The equation of the point in slope intercept point is:

[tex]y -y_1 = m(x-x_1)[/tex]

Where

[tex]m = -\frac{2}{3}[/tex]

[tex](x_1,y_1) = (6,-11)[/tex]

Substitute these values in the equation:

[tex]y - (-11) = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}(x - 6)[/tex]

[tex]y +11 = -\frac{2}{3}x + \frac{2}{3}*6[/tex]

[tex]y +11 = -\frac{2}{3}x + 4[/tex]

Subtract 11 from both sides

[tex]y = -\frac{2}{3}x + 4-11[/tex]

[tex]y = -\frac{2}{3}x - 7[/tex]

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