We are formulating a 90% confidence interval for the population mean and would like our confidence interval to have a margin of error that is not larger than 3. Experience suggests that a reasonable estimate for the population standard deviation is 15. What minimum sample size should be anticipate using? (NOTE: Round your final answer up to the next whole number).

Answers

Answer 1

Answer:

A sample size of 68 should be anticipated using.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Experience suggests that a reasonable estimate for the population standard deviation is 15

This means that [tex]\sigma = 15[/tex]

What minimum sample size should be anticipate using?

Margin of error at most 3, which means that the sample size is n when M = 3. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]

[tex]3\sqrt{n} = 1.645*15[/tex]

Simplifying both sides by 3:

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up

A sample size of 68 should be anticipated using.


Related Questions

Suppose that we wish to estimate the mean
CPU service time of a job. A sample of 10 jobs
gives a mean of 10 sec and standard deviation
of 1.5 sec. Assume that the CPU service times
are normally distributed, find a 95% confidence
interval for the mean CPU service time.

Answers

Answer:

Step-by-step explanation:

to do lo so ko gogfr org reg  grgrwe wffffqwf qw32767

There is 12 inches in a whole hole how many inches is in a half of a hole?

Answers

Answer:

6 is hoing to be your answer

Answer:

6in

Step-by-step explanation:

Find the volume of the solid

Answers

Answer:

245 yd3

Step-by-step explanation:

Split the solid into two pieces, multiply length, width, adn height from there.

Answer:

The answer is: 245 yds cubed

Step-by-step explanation:

So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:

Height: 2   Length: 5    Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.

Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5    Length: 9    Width: 5.

So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.

Lastly, we will add the volumes of the two prisms together. 225+20=245.

The final answer is: 245 yds cubed

125 is what percent of 200?

Answers

Answer:

125 is 62.5% of 200, hope this helps :)

please help pleaseeeeeee

Answers

Answer:

B

Step-by-step explanation:

it's basically 2+7

Answer:

it would be C

Step-by-step explanation:

How do I start this problem? I don't need help with the graphing part.

Answers

Answer:

x = 6 , y = 0   (x , y) = (6 , 0)

x = 12, y = 3   (x , y) = (12 , 3)

x = 24, y = 9   (x , y) = (24 , 9)

Step-by-step explanation:

Simply plug in a x, and find a y that would make the equation true:

When x = 6:

6 - 2y = 6

6 (-6) - 2y = 6 (-6)

-2y = 0

(-2y)/-2 = (0)/-2

y = 0

When x = 6, y = 0    (x , y) = (6 , 0)

When x = 12:

12 - 2y = 6

12 (-12) -2y = 6 (-12)

-2y = -6

(-2y)/-2 = (-6)/-2

y = 3

When x = 12, y = 3   (x , y) = (12 , 3)

When x = 24:

24 - 2y = 6

24 (-24) - 2y = 6 (-24)

-2y = -18

(-2y)/-2 = (-18)/-2

y = 9

When x = 24, y = 9   (x , y) = (24 , 9)

~

The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number

Answers

Answer:

b ≤ 3/8

Step-by-step explanation:

Let the unknown number be b.

Translating the word problem into an algebraic expression, we have;

8b + 23 ≤ 26

Rearranging the equation, we have;

8b ≤ 26 - 23

8b ≤ 3

Dividing both sides by 8, we have;

b ≤ 3/8

A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?

Answers

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

Answer: 35

Step-by-step explanation:

how do I find the number of solutions for this equation? 6y = 12x + 36
15y = 45x + 60​

Answers

Answer:

6y = 12x + 36  is  x= 1 /2 y−3

15y = 45x + 60​   is  x= 1 /3 y+ −4 /3

Step-by-step explanation:

What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )

Answers

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated

Please help thank you!!!!!!

Answers

H : because each square contains 100 blocks so the two boxes would be 200 together and as you see one square has all blocks shaded ( 100% ) and then has another 100 block with only 40% shaded in 100% + 40% = 140%

Find the distance between the points X and Y shown.

Answers

Answer:

5 units away

Step-by-step explanation:

Plz can anyone help me with my homework

Answers

Answer:

GFIH

Step-by-step explanation:

You read coordinates X and then Y

(X,Y)

1. G

2. F

3. I

4. H

G A H F

i worked it out

Suma40grados 35 con
60grados7
er
ор
q' w
a' rty u
a s d f g h j k l ñ en español​

Answers

Answer:

Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??

Step-by-step explanation:

A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope-intercept equation is written out like so:

y = mx + b

M stands for your slope: 1/2

B stands for your y-intercept: 4

So, your equation is y = 1/2x + 4

find the difference between 8n and (3n_6)​

Answers

I don’t kno...............

To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.

Answers

9514 1404 393

Answer:

  F(x) = (9/5)x -459.67

Step-by-step explanation:

F(C(x)) = 9/5(x -273.15) +32

F(C(x)) = (9/5)x -459.67 . . . . . simplify

(3uv/2u²-2v²)+5uv/3u²+3v2​

Answers

Answer:

19/6 u^3 v + v^2

Step-by-step explanation:

3uv2

u2−2v2+

5uv3

u2+3v2

=32

u3v+−2v2+53

u3v+3v2

Combine Like Terms:

=32

u3v+−2v2+53

u3v+3v2

= (3

u3v+

53

u3v)+(−2v2+3v2)

At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there?

Please explain for brainliest.

Answers

Answer:

12 toppings

Step-by-step explanation:

9x5=45

540/45=12

1302 rounded to the nearest thenth

Answers

Answer:

1300

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1300 Is the answer! I hope this helped

Explanation:

I hope this helped!

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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

work out the size of angle x​

Answers

Answer:

∠x = 117°

Step-by-step explanation:

supplement of ∠101° = 79°

all triangle interior angles add up to 180°

180° - 79° - 38° = 63°

the supplementary angle to 63° is 117°

a fair cube has 2 red sides, 2 blue sides, and 2 green sides what is the probability of rolling red or blue

Answers

The probability of rolling red or blue would be 4 out of 6 4/6

Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.

Answers

Answer:

x = 3

Step-by-step explanation:

13x - 2 = x + 2

12x = 4

x = 3

Please help quick no Tiny links please plz plz help quick due soon I will give points no Links

Answers

Answer:

I think its B but im not sure

Step-by-step explanation:

6x-1/2=1 solve this equation

Answers

Answer:

cross ❌ multiply

6x-1=2

6x=2+1

6x=3

divide both sides by 6

x=1/2

triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.

Answers

Answer:

Step-by-step explanation:

ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]

What is 5 + 2x + 7 + 4x

Answers

Answer:

12+8x

Step-by-step explanation:

By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.

what is 3/10(x+2)=12

Answers

X=38

Hope I helped :]

solution...


x=38 it takes a few steps to get the answer

Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.

Answers

Answer:

the answer is 6 :))))))))0

Step-by-step explanation:

pls help i need answer

Answers

Answer:

109 degrees

Step-by-step explanation:

23 + 48 = 71

180 - 71 = 109 :)

Answer:

i think the answer is 109 im not sure

Step-by-step explanation:

48+23=71 180-72=109

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