Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of 62 employees selected from financial companies in New York City showed that they received an average bonus of $47,000 last year with a standard deviation of $15,000. Construct a 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year.

Answers

Answer 1

Answer:

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

Step-by-step explanation:

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

T interval

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 = 62 - 1 = 61

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819

The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181


Related Questions

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP


New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?

Answers

Answer:

640

Step-by-step explanation:

Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd

Apply the distributive property to create an equivalent expression.
I will give brainiest but if you put a link i won't

Answers

9514 1404 393

Answer:

  12e -6f -8

Step-by-step explanation:

The factor outside parentheses multiplies each term inside parentheses.

  = (6e)(2) +(-3f)(2) +(-4)(2)

  = 12e -6f -8

Your teacher has disabled instant marking. Your marks will appear after the due date.
There are 1200 students at a school.
Each student has either a packed lunch or a school dinner.
62% of the students have school dinners.
55% of the students are girls.
45% of the girls have packed lunches.
62%=
How many boys have school dinners?
You must show all your working.

Answers

Answer:

38

Step-by-step explanation: 100 - 62= 38

I am not sure of my answer tho

2 minutes is how many seconds

Answers

120 seconds
1 min = 60 seconds

Answer:

120

Step-by-step explanation:

2*60 = 120

Write the equation of the quadratic function shown in the graph.

Answers

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

i need help on this one too sorry to ask much

Answers

Answer:

I can't really see the pic :(

Step-by-step explanation:

Answer:

8^2

Step-by-step explanation:

8*8=8^2 or 64

Does john short qualify for overtime? Explain

Answers

Answer:

?

Step-by-step explanation:

Mean (M) = 6, Standard deviation (SD) = 2.45,
calculate the z-score for the specified raw score of 4.

Answers

Answer:

z = -0.816

Step-by-step explanation:

z = (x-μ)/σ

z = (4-6)/2.45

z = -0.816

By rounding to 1 significant figure estimate the answer to the question of these questions. a) 346x904
b) 2451x988
c) 3203x7756​

Answers

C) 3203x7756 is the correct answer for your question

The line of best fit for a set of data is y = 19.3232 – 0.7334x. What is the approximate x-value where the y-value is 15.654

Answers

Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

Polygon STUV is reflected over the X axis and then over the Y axis to create WXYZ. Which of the following sides are congruent?

Answers

Answer:

ST and WX

Step-by-step explanation:

flipped around st and wx mathched

Answer:

ST and WX

Step-by-step explanation:

What percentage of 400=104 pls help me

Answers

Answer:

26%

Step-by-step explanation:

To find the percentage of a number, I find it's often helpful to first write it as a fraction:  [tex]\frac{104}{400}[/tex] .

Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]

.

Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:

[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]

As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.

student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos

Answers

Answer:

3/6 or 1/2

Step-by-step explanation:

the amount that chose pizza = 2/6

5/6 = the amount that chose pizza + the amount that chose tacos

5/6 = 2/6 + the amount that chose tacos

the amount that chose tacos = 5/6 - 2/6

the amount that chose tacos = (5-2)/6

the amount that chose tacos=3/6=1/2

Answer:

3/6

Step-by-step explanation:

calculate the area of a triangle

Answers

Answer:

Area of triangle formula is ;

[tex] \frac{1}{2} bh[/tex]

Sharon needs 3 pounds of turkey for every 2 people that are attending her dinner party.

How many people can she feed with 30 pounds of turkey?

Answers

She can feed 10 people

Answer:

yeah 10 people

divide the 30 lbs with 3 (because she can feed 2 people with 3 lbs) and yeah

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a picture card.


Answers

Answer:

Step-by-step explanation:

3/13

The probability of being dealt a picture card is 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the total number of cards in the deck be = 52 cards

Let the number of picture cards be = A

Now , the picture cards include 4 colors of Jacks , 4 colors of Queens and 4 colors of Kings

So , total number of picture cards = 4 + 4 + 4

                                                        = 12 picture cards

And the probability of drawing a picture cards is P =
number of picture cards / total number of cards in the deck

The probability of drawing a picture cards is P = 12 / 52

                                                                               = 3 / 13

Therefore , the value of P is 3/13

Hence , The probability of being dealt a picture card is 3/13

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

Find the value of x and y. Select all that apply. Please show your work :) image is attached

Answers

Answer:

x = 29

y = 110°

Step-by-step explanation:

y° = (3x + 23)° => corresponding angles are congruent)

(2x + 12)° + y° = 180° => linear pair

Thus:

(2x + 12)° + (3x + 23)° = 180° => substitution

2x + 12 + 3x + 23 = 180

Add like terms

5x + 35 = 180

5x = 180 - 35

5x = 145

x = 145/5

x = 29

✔️y = (3x + 23)°

Plug in the value of x

y = 3(29) + 23

y = 110°

800:2 in the simplest form

Answers

Answer:

400:1

Step-by-step explanation:

800:2

800/2:2/2

400:1

During a 4​-year ​period, ​65% of snowstorms in a certain city caused power outages. 14 of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 4​-year period.

Answers

Answer:

40

Step-by-step explanation:

S x .35 = 14

S = 14/.35

S = 40

Verify:

40 x 35% = 14

Which of the expressions are equivalent to the one below? Check all that
apply.
10x(3+4)
A. (3+4)x10
O B. (10x3) + 4
C. 10.3 + 10 - 4
D. 10. (4+3)
SUBMIT

Answers

Hi hi!!

So, A is correct because it is the same equation just (3+4) is in the front. D is also correct because it is the same question because when a number is for example like 10(3+4) it mean multiplication and in this case you are multiplying. B and C are incorrect because they do not have a total of 70. The original equation, 10x(3+4) = 10x7 = 70.

Correct answers:

A. (3+4)x10
D. 10(4+3)

Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12

Answers

Answer: I know that DC is 12 and AD=8 the others i dont know.

Step-by-step explanation:

This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.

Step by step explanation please

Answers

Step-by-step explanation:

of what where is the question

what are we explaining ?

6x-23+3m in standard form

Answers

Answer:

6x-23+3m

6x+3m-27 we can't add them b/c they have d/t

variables so the answer is 6x+3m-27

In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram

Answers

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

For more such questions on midpoints visit:

https://brainly.com/question/28667736

#SPJ8

Can anyone help me out??

Answers

9514 1404 393

Answer:

  p(1) = 6

Step-by-step explanation:

The basic idea is to put 1 wherever you see x. That gives you ...

  p(1) = 2·1² +3·1 +1

The powers of x are all 1 when x=1, so the value of p(1) is just the sum of the coefficients:

  p(1) = 2 + 3 + 1

  p(1) = 6

Given the function h(x) = 2.25x, find h(2)

Answers

Answer:

h(2)= 4.5

Step-by-step explanation:

h(x)=2.25x

h(2)=2.25(2)

= 4.5

Answer:

Hi! The answer to your question is 4.5

Step-by-step explanation:

To find h(2) we just have to find x in the equation and replace it with a 2

h(x)=2.25(2)

h(x)=2.25(2)=4.5

※※※※※※※※※※※※

⁅Brainliest is greatly appreciated!⁆

- Brooklynn Deka

Hope this helps!!

Given the points A (-3, -1), B (1, 4) C (4, -1) what is the x coordinate of D, if ABCD is a parallelogram?

Answers

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

[tex]\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{2}=\dfrac{1+x}{2}[/tex]

[tex]1=1+x[/tex]

[tex]1-1=x[/tex]

[tex]0=x[/tex]

Similarly,

[tex]-1=\dfrac{4+y}{2}[/tex]

[tex]-2=4+y[/tex]

[tex]-2-4=y[/tex]

[tex]-6=y[/tex]

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.

A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?

Answers

Answer:

20 is the longer piece, 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9=29

If f(x)= 2(3 to the power of x) +1 what is the value of f(2)

Answers

Answer:

19

Step-by-step explanation:

f(x)= 2(3^x) + 1

f(2)= 2(3^2) + 1

= 2(9) + 1

= 18 + 1

= 19

Another group held a dance to raise money for charity. Pre-Sale tickets were $2.00 Less than tickets purchased at the event. They sold 54 pre-sale tickets and 82 tickets at the event. The group raised $980 from total ticket sales. How much did they charge for tickets at the event ?

Answers

Answer:

for the regular tickets they charged $8 for the pre sale the charged $6

Other Questions
-- What are some of the problems faced by museums or collectors who want to return African artto Africa? Two firms decide to form a cartel and collude in a way that maximize total profits. Each firm has zero production costs and each firm is given a positive output quota by the cartel. Which of the following statement is FALSE? a. Total output would be less than if the firms behaved as Cournot firms. b. Each firm would want to produce more than its quota if it knew that the other would comply with its quota. C. The absolute value of the price elasticity of demand is greater than 1 at the total output level chosen. d. Total output would be less than if the firms behaved as Stackelberg firms. Charlie doesn't ____ to grasp that next year's budget may have to be cut.ableknowlikeseem If the central bank wants to contract aggregate demand, it can _____ the money supply, which would _____ the interest rate.a. decrease, increaseb. increase, decreasec. decrease, decreased. increase, increase Kiwi Supplies Limited is a distributor of domestic garden appliances throughout New Zealand. It is registered under the Companies Act 1993 with contributed equity of 6,000,000 ordinary shares. The fol What is the connection between chromosomes and the heavily muscled phenotype??Uses these vocab terms or phases in the short answer response: allele, chromosomes , heavily muscled, myostatin proteinNo Links Pls Un monlogo, Puede ser un cortometraje? A coin was tossed 50 times and landed on tails 10 times. What is the Probability that will land on tail on the next toss. Suppose f(x, y) = x + , where 0 HELP PLEASEEEEEEE!!!! What value of n makes theequation n x 3/4= 3/16 true Dynondo Incorporated planned to use materials of $8 per unit but actually used materials of $16 per unit, and planned to make 1640 units but actually made 1770 units.The flexible-budget variance for materials is ________.$14,160 favorable$13,120 favorable$13,120 unfavorable$14,160 unfavorable In this first Act of the play, who asks Juliet's father for her hand in marriage? *MontagueMercutioParisRomeo A machine is shut down for repairs if a random sample of 100 items selected from the daily output of the machine reveals at least 15% defectives. (Assume that the daily output is a large number of items.) Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods.a. The normal approximation to the binomial b. The exact binomial tables can neorealism be justifiably called realistic on either stylistic or narrative grounds You estimate the model yi= 1+2xi+ui.You find that 2=2.12 the standard error is se=1.71 You have 27 observation.2=2.12se=1.7127 observation (n)(27)Compute the t-value.Can you reject the Null Hypothesis H0: 2=0 in favor of Ha: 20 at the 1% level?Can you reject the Null Hypothesis H0: 2=0 in favor of Ha: 2>0 at the 5% level?please give me full and step by step answer with full explanation do not copy from chegg old answer what happens when a molecule absorbs infrared radiation Question 1 of 5What is one way water moves through the nonliving parts of an ecosystemduring the water cycle?A. TranspirationB. EvaporationC. PhotosynthesisD. Sweating An 8% semiannual coupon bond matures in 4 years. The bond has aface value of $1,000 and a current yield of 8.2839%.What is the bond's price? Do not round intermediate calculations.Round your ans True or false:a. Anions are larger than their corresponding neutral atoms.b. Ca2+ is smaller than Ca.A. a= true; b = trueB. a= false; b = falseC. a= true; b = falseD. a= false; b = true