1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
11111nata11111 [884]
2 years ago
7

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.
Mathematics
1 answer:
lora16 [44]2 years ago
6 0

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 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.67

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181

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

You might be interested in
What is the area of a 45 degree sector of a circle with a radius of 12 in.
Elodia [21]

given ,

a circle of radius 12 inches

and \theta = 45°

now we know that ,

\\{Area \: of \: sector =  \frac{\theta}{360\degree}  \times \pi \: r {}^{2} } \\  \\

let's now plug in the values of radius and theta as 12 inches and 45° respectively ,

\\\dashrightarrow \:  \frac{45}{360}  \times  \frac{22}{7}  \times 12 \times 12 \\  \\ \dashrightarrow \:  \frac{1}{8}  \times  \frac{22 \times 12 \times 12}{7}  \\  \\ \dashrightarrow \:  \frac{22 \times 12 \times 12}{56}  \\  \\ \dashrightarrow \:  \frac{3168}{56}  \\  \\ \dashrightarrow \: 56.57 \: inches {}^{2} (approx.)

hope helpful :D

6 0
2 years ago
2 ( 4 x + 4 ) + 6 ( 2 x + 6 ) + 4 = 20 x + 48 solving for x
Alisiya [41]

Answer:

infinitely many solutions

Step-by-step explanation:

8x+8+12x+36+4=20x+48

20x + 48 = 20x + 48

0= 0

3 0
3 years ago
Assume that x is a char variable has been declared and already given a value. Write an expression whose value is true if and onl
Lorico [155]

Answer:

bool b = isupper(x);

Step-by-step explanation:

I have written the expression for a char variable x.The isupper(x) will return true if the character x is upper case and false if the character x is lower case.

I have stored the returned value to a bool variable b .So the value of variable b will be true only when the x is in uppercase and false when b is lower case.

4 0
3 years ago
Question 17 of 25
Brilliant_brown [7]

Answer:

c

Step-by-step explanation:

y = \frac{5}{2} x + 2 → (1)

2y = 5x + 4 ( divide through by 2 )

y = \frac{5}{2} x + 2 → (2)

the 2 equations are the same and will have infinitely many solutions

3 0
2 years ago
0.48 divided by 0.06 with shown work please help!
Valentin [98]

Answer: 8

Step-by-step explanation:

2 To convert to a percent, multiply the decimal by 100.

8\times 100=800

8×100=800

800

800%

6 0
3 years ago
Other questions:
  • A toy manufacturer estimates that 6% of its products are defective.If it produces 550 toys in one day,then how many will be defe
    6·1 answer
  • PLEASE HELP ON THIS, Find the area of the shape shown below.
    10·2 answers
  • Solve for h. 6.51 - 9.32 + h = 1.02 Enter your answer as a decimal in the box. h=
    13·1 answer
  • Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so
    15·1 answer
  • Which of the following gives all of the coefficients of the algebraic expression
    9·2 answers
  • A store manager earns
    13·2 answers
  • On Friday, 150 people went to see “Ode to Algebra” performed in the school auditorium. Both c children and a adults attended the
    10·1 answer
  • The cost to make a Nike shoe is $20 USD and the store wants to make a profit of 75% of the cost price.
    15·1 answer
  • PLEASE HELP<br> bjF9YFCCHONNPLFBNPGNELIVLGNOELIUGMOR
    15·1 answer
  • The circumference of a circle is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!