A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are normally distributed with a standard deviation of $30,000, determine the 90% confidence interval estimate of the mean annual income of all company presidents. Interpret the statistical results.

Answers

Answer 1

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

[tex]n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%[/tex]

The critical value of z for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)[/tex]

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.


Related Questions

Please help !!!!!!!!!! , i don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.

Answers

Step-by-step explanation:

A business that offers services to people by providing many amusement and fun with gate fees

The algebraic equations to be used is the general linear equation

Y = MX + C

Where

Y = total income or money realised

M = rate or price rate

X = number of goods or services

C = flat rate or gate fees

The business can also operate differently by using exponential equation

A = P(1 + R%)^t

Where

A = profit

P = capital

R = rate

t = time

Hope this helps :D

45×(−10)×45 STEP explanation ​

Answers

Answer:

-20,250

Step-by-step explanation:

PEMDAS

Multiply left to right

45 * -10 * 45

45* -10

-450 * 45 =

-20,250

Alexander spent a total of 12.5 hours on a science project for the Science Fair. His sister, Laura, spent 16.6 hours on a science project. How many more hours did Laura spend on her project than Alexander spent on his?

Answers

Answer:

4.1 I think

Step-by-step explanation:

I just subtracted in my head

Answer:

4.1 hours

Step-by-step explanation:

Laura spent 4.1 more hours on her project than Alexander spent on his. If we split each number into 2 parts (like this: 12.5 -> 12 and .5; 16.6 -> 16 and .6) then we can subtract 12 from 16 and .5 from .6 to get 4 and .1. we add those together to get 4.1

A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?

Answers

I’m so hungry gurlll like stop playinn

5 plus1000 equal what​

Answers

The answer to that is 1005 XDDD
The answer is 1005.
Have a good one!

Find the slope between the points. �. (5, −3) (7, 4)

Answers

Answer: slope is [tex]\frac{7}{2}[/tex] or 3.5

Step-by-step explanation:

Slope =  [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{4-(-3)}{7-5}[/tex] = [tex]\frac{7}{2}[/tex]

Answer:

[tex]\boxed {\boxed {\sf m= \frac{7}{2} \ or \ 3.5 }}[/tex]

Step-by-step explanation:

The slope formula is the change in y over the change in x.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the points given. We are given the points (5, -3) and (7,4). Therefore,

[tex]x_1=5 \\y_1= -3\\x_2=7 \\y_2=4[/tex]

Substitute the values into the formula.

[tex]m=\frac{4--3}{7-5}[/tex]

Solve the numerator.

4 - -3 = 4+3 = 7

[tex]m=\frac{7}{7-5}[/tex]

Solve the denominator

7-5=2

[tex]m=\frac{7}{2}[/tex]

[tex]m=3.5[/tex]

The slope between the points is 7/2 or 3.5

5/25 in its simplest form

Answers

Answer: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5}{25} =\frac{1}{5}[/tex]

1 / 5
Divide the numerator and denominator by their lowest common multiple which is 5 in this case
So 5 / 25 = 1 / 5

kx^2+k=8x-2xk

Find the range of values of k- there are two distinct roots.

I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step

Answers

Answer:

i cant understans the quedtoion its worng bro

Solve for a when x is 12
X=
(1 + a)
(1 – a)

Answers

Answer:

so i checked on many apps cause im kinda stupid and didnt know and they all said a=11/13 but you could wait for sum1 else to answer

Step-by-step explanation:

-4(3/2x - 1/2) = -15

Answers

Answer:

2.8333333333333333333

Step-by-step explanation:

I have high iq

-4(3/2x - 1/2) = -15

Distribute -4

-6x + 2 = -15

Subtract 2 from both sides

-6x = -17

Divide 6 from both sides

x = 2.83333333333333333

Solve four ninths minus four tenths equals blank.

Help Me ASAP

Answers

The answer is 2/45.......

Answer:

4/9

Step-by-step explanation:

Convert 1AA from hexadecimal to decimal.

Answers

1AA = 426

What an odd class...

Answer:

426 in decimal.

Step-by-step explanation:

Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.

Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.

Step 3) Add up all the numbers you got in Step 2 to get the answer.

Following the instructions above, your math should look like this:

10 x 1 = 10

10 x 16 = 160

1 x 256 = 256

10 + 160 + 256 = 426

Thus, we got the following answer:

1AA = 426

2×2+31×1+1+1+1+1+11×4×4×4×4×4×4×4×4×4

Answers

Answer:

I think it is 13107200

Step-by-step explanation:

I think the answer might be 2,883,623. Hopefully, this helps you! :)

A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?

Answers

Answer:

[tex]S.E = 2[/tex]

Step-by-step explanation:

Given

[tex]Mean = 40[/tex]

[tex]s^2 = 64[/tex] ----- variance

[tex]n = 16[/tex] ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

Where

[tex]SD = Standard\ Deviation[/tex]

[tex]SD = \sqrt {s^2}[/tex]

[tex]SD = \sqrt {64}[/tex]

[tex]SD = 8[/tex]

So:

[tex]S.E = \frac{SD}{\sqrt n}[/tex]

[tex]S.E = \frac{8}{\sqrt{16}}[/tex]

[tex]S.E = \frac{8}{4}[/tex]

[tex]S.E = 2[/tex]

Hence: the estimated standard error for the sample mean is 2

{−2x+7y=−7
−5x+14y=−7

Answers

Answer: x=7, y=2

Step-by-step explanation:

1. -2(-2x+7y=-7) -> 4x-14y=14

2. 4x-14y=14

   -5x+14y=-7

3. -x = 7, x=7

4. -5(7)+14y=-7

5. -35+14y=-7

6. 14y=28, y=2

Answer: [tex]x=-7[/tex], [tex]y=-3[/tex]

Step-by-step explanation:

[tex]\left \{ {-2x+7y=-7} \atop {-5x+14y=-7} \right.[/tex]

multiply 2 at [tex]-2x+7y=-7[/tex]

[tex]-4x+14y=-14[/tex]

subtract [tex]-4x+14y=-14[/tex] and [tex]-5x+14y=-7[/tex]

[tex]x=-7[/tex]

put [tex]x=-7[/tex] at [tex]-2x+7y=-7[/tex]

[tex]7y=-21, y=-3[/tex]

AC=39 Find the length of AB

Answers

Answer:

AB = 12

Step-by-step explanation:

What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.

Answers

Answer:

D) its domain is between -1 and 1

Step-by-step explanation:

cos is actually an even function, and it has a period of 2π.

Sine has a graph symmetric about the y-axis, not cosine.

Answer:

C.  Its graph is symmetric about the y-axis.

Step-by-step explanation:

If you graph on desmos it shows that it is symmetric about the y-axis :)

If AABC and AXYZ are similar, which must be true?

Answers

Answer:

(D).

Step-by-step explanation:

ΔABC ~ ΔXYZ

(D).  [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]

5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this

Answers

Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

Answer:

hmmmmm

Step-by-step explanation:

Suppose that the amount of snowfall per storm in Lincoln is normally distributed with µ = 4.2 inches and standard deviation µ = 2.3 inches (totally made up data). If the mayor decides that only the top 5% of storms should have school cancelled, what is the cutoff snowfall for school to be cancelled?

Answers

Answer:

7.9835

Step-by-step explanation:

Given that :

Mean snowfall per storm (µ) = 4.2 inches standard deviation (s) = 2.3 inches

Only the top 5% of storm should result in school being canceled :

Cut off snowfall for school to be canceled '

P(Z ≥ 5%) ; p(Z ≥ 0.05) = 1.645

Using the z relation :

Z = (x - m) / s

1.645 = (x - 4.2) /2.3

x - 4.2 = 2.3 * 1.645

x - 4.2 = 3.7835

x = 3.7835 + 4.2

x = 7.9835

Cut off snowfall for school to be canceled 7.9835

Answer:

hopes this photo helps

best estimate for 563 / 15

Answers

Answer: 37 8/15 or 37.53

Step-by-step explanation:

use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.

its a website and a app i believe it can be used for ios and android

aka apple and everything else

btw i had to add that (_) <that in the name because it wont let me say it normally

A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.
Which function describes the revenue of the tile factory in terms of tiles sold?

Answers

The answer is 1.C 2.$500

Help please! I’ll give brainliest!

Answers

Answer:

the first

Step-by-step explanation:

becasue you have -4 and it drops by 5 each hour so your timing it by 5 so 5h then sinv=ce it drops its -5h.

Answer:

The answer should be B

Step-by-step explanation:

PQ is equal to RQ so b=?

Answers

Answer: 17

Step-by-step explanation:

Ella swims four times a week at her clubs pool. She swims the same number of labs on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 labs each week. How many laughs does she swim on Monday?

Answers

52 laps is the correct answer. Explaining. Don’t have to I just took the test and got a 100

PLEASE HELP!!!! 50 POINTS!!!
Find the solution(s) of the following equation.
x^2 = 100/361
Choose all answers that apply:
a) x = -10/9
b) x = -1/6
c) x = 5/18
d) x = 5/9
e) none of the above

Answers

Answer:i think its b im not sure tho

Step-by-step explanation:

Answer: The answer is A) x= -10/19

You start at (4, -4). You move left 4 units and right 4 units. Where do you end?

Answers

Answer:

Step-by-step explanation:

(4 , - 4) -----> ( 4 - 4 + 4 , - 4 ) = ( 4 , - 4 )

Simplify the expression:

8(x - 5) + 7(3x + 4)​

Answers

Answer:

29x-12

Step-by-step explanation:

29x-12

Step-by-step explanation:

8•x=8×

8•-5=-40

7•3x=21x

7•4=28

-40+28=-12

21x+8x=29x

Y=2× Y=×+1
A: (2/3, 1/3)
B: (1,2)
C: (2,1)
D: (1/3, 2/3)

Answers

Answer:

The answer is B: (1,2)

Step-by-step explanation:

(solved using elimination method)

-2x+y=0

y=x+1

-x+y=1

-2x+y=0

x+y=-1

-x=-1

x=1

-1+y=1

y=2

(x,y)=(1,2)

7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee

Answers

x^2 + 5 = 5 + x^2 will give you the same answer. Also know as the commutative property. Answer is (3)
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