A researcher is interested in determining the average number of years employees of a company stay with the company. If past information shows a standard deviation of 7 months, what size sample should be selected so that at 95% confidence the margin of error will be 2 months or less?

Answers

Answer 1

Answer:

48

Step-by-step explanation:

The significance level is 95%

Z-alpha/2 = 1.96 at 0.05 from the standard normal distribution table.

The standard deviation has been given to be 7

Margin of error is 2

We solve further using the formula:

n = (z-alpha/2 * sd/ME)²

n = (1.96 * 7/2)²

n = (1.96x3.5)²

= 6.86²

= 47.0596

This is approximately

n = 48

So the sample size they should be selected should be 48 for at 95% confidence level.


Related Questions

Neil buys a refrigerator that costs him $995 plus a 9.3% sales tax rate. what is the sales tax of the retail purchase. round to two decimal place​

Answers

Answer:

 $92.54

Step-by-step explanation:

sales tax = cost * tax rate

               = 995 * .093

               = 92.535

2.9 months to 4.9 months​

Answers

Answer:

2 months difference

Step-by-step explanation:

4.9-2.9=2

Which points are solutions to the equation y=3x+5?
(2,11)
(7,16)
(−7,−16)
(−2,1)
(−3,−1)

Answers

The answer is
(2,11)
(-2,1)
And I’m pretty sure it’s also (7,16)

Seven more than a number is less than or equal to -18

Answers

Answer:

7+x<=-18

subtract 7 from both sides

x<=-25

Step-by-step explanation:

The equation is 7+x<=-18 and the value of x = -25.

Given that,

Seven more than a number is less than or equal to -18

Based on the above information, the calculation is as follows:

7+x<=-18

x = -25

Learn more: https://brainly.com/question/12522729?referrer=searchResults

jeatofine anwser me 48 divided by2 (9+3) =

Answers

Answer:

2

Step-by-step explanation:

48/2(9+3)

=48/2(12)

=48/24

=2

hope this helps

plz mark as brainliest

Answer:

The answer is 2 Have a blessed and safe day

If 23 is a subtract from a number, the result is -8. Find the numbers

Answers

Answer:

15

Step-by-step explanation:

Step 1:

x - 23 = - 8        Equation

Step 2:

x = - 8 + 23       Add 23 on both sides

Answer:

x = 15

Hope This Helps :)

Jordan and Micheal are planing a graduation party with 45 guests. They want to seat an equal number of guests at each table.Each table should have more than one guest.List te different ways the guests and tables could arranged. Tell how many tales are needed for each group of guests. guests at each table.Each table should have more than one guest.List different ways the guests and tables

Answers

Answer:9 tables with 5 people at each one

Step-by-step explanation:

Using the factorization that defines the arrangement, there can be 9 tables for 45 guests with 5 guests per table. "A large number is factorised, which is the process of breaking it down into smaller numbers that, when multiplied together, produce the original number. A number is factorised when it is divided into its factors or divisors."

What is factorization?

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics. The Grouping method, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF) are the four main methods of factoring. Divide a number by the smallest prime number (larger than 1) that divides it evenly and leaves no remainder to find its factors quickly. As you receive more numbers, repeat this procedure until you reach 1.

Here,

Jordan and Micheal are planing a graduation party with 45 guests. They want to seat an equal number of guests at each table.Each table should have more than one guest.

when we factorize 45,

1x45

3x15

5x9

We can arrange in the order of 5 guest on each table and their can be 9 tables for 45 guests using the factorization that defines "Factorization is the process of dividing a large number into smaller ones that, when multiplied together, yield the original number. Factorization is the division of a number into its factors or divisors."

To know more about factorization,

https://brainly.com/question/14452738?referrer=searchResults

#SPJ2

What is the value of 2^0 in standard form

Answers

Answer:

1

Step-by-step explanation:

Anything raised to 0 is 1.

Please help! Find what the value of y is for each one. The value for x is given already. (Picture included)

Worth 30 points! :)

Answers

Ok. My answer I came up with is:

y=2-3x

Thanks

You don’t have to explain just give me the answers for these few questions please asap

Answers

Answer:

lol do u r own work this is for help no the answers

Step-by-step explanation:

Answer:

same thing you did to me bud

Answer: wheidofnnndbxkdiwijsng Step-by-step explanation: Sorry I needed points

Write an equation of the line with the given slope, m, and y-intercept (0,b).
m= 3, b=7

Answers

Answer:

The equation would be y=3x+7. Please mark as helpful if it helps, thanks!

y=mx+b so you substitute your values and get y=3x+7

Can you guys please help me out

Answers

Answer:

18

Step-by-step explanation:

xy = x times y

in our case, it is 6 times 3

so 18

Answer: 18
Explanation: the answer is 18

write an integer for the situation.
Ascend 50 feet

Answers

Answer:

50 ft

Step-by-step explanation:

An integer is a whole number.

If you're Ascending that means to go up( or to increase in height. This means that the number would be positive. The 50 feet would give us our number, so our answer is (+) 50 ft.

what is the answer to this equation?? (-3)^2=( )( )=

Answers

Answer: 9

I did (-3)^2= cause I'm not sure if you meant to put ( ) ( ) in it. If you did well, sorry. I got (-3)^2=9.

The amount of force needed to keep a 0.5 kg baseball moving at a constant speed of 4 m/s on frictionless ice is

Answers

Answer: 0 N

Step-by-step explanation:

Question 9
Solve the equation.
4^(12 - 2x) = 256
O {4}
O {64}
O {6}
{-4}

Answers

Answer:

The answer is 4

Step-by-step explanation:

If this helps may i plz have brainliest :)

The answer is 4. Hope this helps!!

How to do this problem? Please explain this in steps if possible. Thanks!

Answers

Answer: 10

Step-by-step explanation:

If two triangles are congruent, then they will have the exact same sides and angle measures.

AB=3x+1

BC=6

DE=2x

Solve for X by making 2x=6 because DE and BC are corresponding sides, indicating they are equal.

x=3, plug that in

AB=10

How many solutions exist for the given equation?

12(x - 5) = 16 (x - 5)



One

two

zero

Infinitely many

Answers

The answer is two solutions are given for the equation
There are two solutions with that given equation

Quarter 1 Benchmark / 3 of 25
The diagram below is a scale drawing of a store, with the scale 1 in. = 16 feet.
4 inches
inches
3 inches
K2 inches -
What is the approximate area of the store in square feet?
O A 2.200
O B. 2,500
OC. 2,300
OD. 2,400
you’ve have by the end of today (12am)

Answers

Answer:

B. 2,500

Step-by-step explanation:

The diagram of the area of the store has been divided A and B as shown in the attachment below.

Dimensions of A:

(*Note: scale = 1 in to 16 ft)

Length = 4 inches

Actual length = 4*16 = 64 ft

Width = 1¾ inches

Actual width = 1¾*16 = 28 ft

Area of A = length * width = 64*28 = 1,792 ft²

Dimensions of B:

(*Note: scale = 1 in to 16 ft)

Length = 2¼ inches

Actual length = 2¼*16 = 36 ft

Width = 3 inches - 1¾ inches = 1¼ inches

Actual width = 1¼*16 = 20 ft

Area of A = length * width = 36*20 = 720 ft²

Area of the store = area of A and area of B = 1,792 + 720 = 2,512 ft²

Approximately, the are is 2,500 ft²

Rectangle DEFG with vertices D(-2, 7), E(2, 3), F(0, 1), and G(-4, 5):
a) translation along the rule (x,y) → (x+6, y-8)
b) reflection in the y-axis

D'(_, _)
E'(_, _)
F'(_, _)
G'(_, _)

Answers

Answer:

D' (-4, -1)

E' (-8, -5)

F' (-6, -7)

G' (-2, -3)

Step-by-step explanation:

To solve this each point would go under this:

(x, y) --> (-1(x + 6), y - 8)

the x + 6 and y - 8 are the transformation. The -1 multiplied by x represents the reflection over the y-axis

D --> D':

(-2, 3) --> (-4, -1)

E -- E':

(2, 3) --> (-8, 5)

F --> F':

(0, 1) --> (-6, -7)

G --> G':

(-4, 5) --> (-2, -3)

Elaine bought a total of 15 shirts and pairs of pants. She bought 7 more shirts than pants. How many of each did she buy? HELP

Answers

Answer:

7 shirts 8 pairs of pants

Step-by-step explanation:

:(

:)

Answer:

8 pants, and 7 shirts

Step-by-step explanation:

because there are only two factors in here, you can just subtract:

15-7=8

can i get brainliest please?

what is an equation in point-slope form of the line that passes through the point (4,-1) and has a slope of 6

Answers

Answer:

y = 6x + (-1) or y = 6x - 1

Step-by-step explanation:

y = mx + b

M = Slope = 6

B = y-intercept = -1

what do i fill out in empty space :/?

Answers

Step-by-step explanation:

It is a ratio so it will be

3:2

1: .67

Is there a calculator for long-division that'll show you how the problem is done (ie breaking it down) instead of just answering?

Answers

Answer:

A website that sometimes shows breaking down long division is m a t h w a y  

Step-by-step explanation:

Four gallons of gasoline cost $14.

A customer will get
gallon for $3.50.

A customer will get
gallons for $7.00.

A customer will get
gallons for $14.00.

A customer will pay $
for 6 gallons.

Answers

Answer:

A customer will get 1 gallon for $3.50.

A customer will pay $ 21 for 6 gallons.

A customer will get 4 gallons for $14.00.

A customer will get 2 gallons for $7.00.

Step-by-step explanation:

This is solved using the unitary method .

Four gallons cost $ 14

1 gallon costs $ 14/4= $ 3.5

6 gallons cost = $ $ 14/4 *6= $ 21

2 gallons cost = $ 14/4 *2= $14/2= $ 7

A customer will get 1 gallon for $3.50.

A customer will pay $ 21 for 6 gallons.

A customer will get 4 gallons for $14.00.

A customer will get 2 gallons for $7.00.

This can be found out by using the direct ratio as well.

Gallons                   Cost

4                               $14

1                                x

Using cross product

x*4= $ 14*1

x= $ 14/4 = $3.5

The same can be applied to find the rest and we get the same answers.

What is the value of x?

Enter your answer in the box.

x = ____

Answers

Answer:

X=32

Step-by-step explanation:

since it is equilateral, all the angles are the same so they equal 60 , because those are the only possible angle measurements that an equilateral triangle can have.

we know that all the angles are equal to 60 so we set up an equation

2x-4=60

2x=64

x=64/2

x=32

B
m2
= 540
(4.x - 10)
(2x + 7)
(741-25)

Answers

Answer:2=540(4x-10)(2x+7)(741-25)

Step-by-step explanation:

Coliform bacteria are distributed in a river at an average concentration of 1 per 20 cc of water. If we draw from the river a test tube containing 10cc of water, what is the probability that the sample contains exactly 2 coliform bacteria

Answers

Answer:

0.5

Step-by-step explanation:

Given that: An average concentration of 1 coliform bacteria per 20 cc of the river water.

This implies that in 20 cc of the water, it is certain that 1 coliform bacteria would be found. So that:

pr(1 bacteria in 20 cc of water) = 1

i.e the probability of getting 1 bacteria in 20 cc of water is 1.

The probability of the 10 cc sample of water containing 2 coliform bacteria can be determined as:

pr(2 bacteria in 10 cc of water) = [tex]\frac{1}{2}[/tex]

                                                   = 0.5

The number of road construction projects that take place at any one time in a certain city follows a Poisson distribution with a mean of 3. Find the probability that exactly four road construction projects are currently taking place in this city.

Answers

Answer:

The probability that exactly four road construction projects are currently taking place in this city is 0.168.

Step-by-step explanation:

Let X denote the number of road construction projects that take place at any one time in a certain city.

It is provided that X follows a Poisson distribution with parameter λ = 3.

Then the probability mass function of X is:

[tex]p_{X}(x)=\frac{e^{-\lambda}\cdot \lambda^{x}}{x!};x=0,1,2,3...[/tex]

Compute the probability that exactly four road construction projects are currently taking place in this city as follows:

[tex]P(X=4)=\frac{e^{-3}\cdot 3^{4}}{4!}[/tex]

                [tex]=\frac{0.04979\times 81}{24}\\\\=0.16804125\\\\\approx 0.168[/tex]

Thus, the probability that exactly four road construction projects are currently taking place in this city is 0.168.

Using the Poisson distribution, it is found that there is a 0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

We have only the mean for the discrete distribution, hence, the Poisson distribution is used.

Poisson distribution In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.

In this problem, the mean is of 3, hence [tex]\mu = 3[/tex].

The probability that exactly four road construction projects are currently taking place in this city is P(X = 4), hence:

[tex]P(X = 4) = \frac{e^{-3}3^{4}}{(4)!} = 0.1954[/tex]

0.1954 = 19.54% probability that exactly four road construction projects are currently taking place in this city.

You can learn more about the Poisson distribution at https://brainly.com/question/13971530

PLSSS I GIVE 60 POINTSSS

Answers

both questions ???????
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