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
jolli1 [7]
2 years ago
9

The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk

nown population mean. If a random sample of 22 departments is taken and results in a sample mean of 1460 employees, find the error bound (EBM) of the confidence interval with a 80% confidence level.
Mathematics
1 answer:
cricket20 [7]2 years ago
6 0

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

You might be interested in
Find the length of the following curve. If you have a​ grapher, you may want to graph the curve to see what it looks like.
stepladder [879]

The length of the curve y = \frac{1}{27}(9x^2 + 6)^\frac 32 from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

y = \frac{1}{27}(9x^2 + 6)^\frac 32 from x = 3 to x = 6

Start by differentiating the curve function

y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x

Evaluate

y' = x(9x^2 + 6)^\frac 12

The length of the curve is calculated using:

L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx

This gives

L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx

Expand

L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx

This gives

L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx

Express as a perfect square

L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx

Evaluate the exponent

L =\int\limits^6_3 {3x^2 + 1} \ dx

Differentiate

L = x^3 + x|\limits^6_3

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

Read more about curve lengths at:

brainly.com/question/14015568

#SPJ1

7 0
1 year ago
Wore
zhuklara [117]
“kilo-“ means “thousand.” A kilogram is 1,000 grams.
5 kg = 5,000 g
5,000 g × (1 pizza)/(300 g) = 5,000/300 pizzas = 16⅓
16 pizzas
4 0
3 years ago
Help me pleasee :) :)
andreyandreev [35.5K]
I know that one is obtuse and acute
8 0
3 years ago
Write the standard form of the equation of the line through the given point with the given slope. Through (-2,5), slope =-4
AleksandrR [38]

Answer:

\huge\boxed{4x+y=-3}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>(x₁, y₁)</em><em> - point on a line</em>

<em>m</em><em> - slope</em>

<em />

We have

m=-4,\ (-2,\ 5)\to x_1=-2,\ y_1=5

Substitute:

y-5=-4(x-(-2))\\\\y-5=-4(x+2)

Convert to the standard form

Ax+By=C

y-5=-4(x+2)                <em> use the distributive property</em>

y-5=(-4)(x)+(-4)(2)

y-5=-4x-8               <em>add 5 to both sides</em>

y-5+5=-4x-8+5

y=-4x-3               <em>add 4x to both sides</em>

4x+y=-4x+4x-3\\\\4x+y=-3

3 0
3 years ago
Caitlan went to the store to buy clothes. she had a store credit from a previous return in the amount of $39.58. If she bought 4
mash [69]
Well you would take the store credit and subtract that from the total so you would do 52.22-39.58 and you would have to spend $12.64

4 0
3 years ago
Read 2 more answers
Other questions:
  • 11 inches of snow in 7 hours. How do you write it as a ratio?
    11·2 answers
  • Please Help solve this
    9·1 answer
  • Last month, Hao's ate 40 cans of dog food in 31 days. How many cans should Hao buy to feed his dog for the next 6 days?
    15·2 answers
  • Write the equation of the line that passes through the point (-5,5) and has a slope of -8/5
    14·1 answer
  • Lesson Review
    12·1 answer
  • Get brainly if right!! Plsss help
    6·1 answer
  • These triangles are congruent by the triangle congruence postulate [?]
    12·1 answer
  • Sharon runs a screen-printing business. To print T-shirts each day, it costs her $200 in labor plus $5 per T-shirt for materials
    13·1 answer
  • Is the function represented by the table non-linear?
    6·1 answer
  • Hi can you help? It’s kinda easy I’m just confused
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!