ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample

Answers

Answer 1

Answer:

[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.

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 - 0.96}{2} = 0.02[/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 - 0.02 = 0.98[/tex], so Z = 2.056.

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.

Within 4 years of the actual mean

We have to find n for which M = 4. So

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

[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2.056\sqrt{n} = 4\sigma[/tex]

[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]

[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]

[tex]n = (\frac{4\sigma}{2.056})^2[/tex]

[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.


Related Questions

Mikas diner sold 70 milkshakes last week. 9% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?

Answers

Step-by-step explanation:

I hope u got ur answer ;)

if u have any more doubt ask me

Answer:

7 milkshakes

Step-by-step explanation:

10% divide 70 = 1%

10 divede 70 is 7

1% is 7

9 times seven is 7 is 63

70-63 is 7

hope it helps

Someone help please I can’t seem to get this one and its my last one

Answers

Answer:

345 cm squared I believe

I'm not 100% sure

look at pic
14 points

Answers

Answer:

The Second One I Think

Step-by-step explanation:

By what I understand that would be the one that is in standard form

Help plssss i beg i'm lost

Answers

1. 1/4 < 8/6

2. 2/3>2/6

These are just some possible answers, this question is super open-ended :)

What is the value of x?
125°
O 35
O 55
O 65
O 125

Answers

Answer:

55

Step-by-step explanation:

125+55=180

or

180-125=55

Answer:

Angle x is

Step-by-step explanation:

Angle xis equal to 125(alternate angle)

2 over 3 of 1 half =????

Answers

Answer:0.33333333333

Step-by-step explanation:no need

I'm gonna send you a picture of it

Answers

Answer:

Of whaT?

But thanks for the free points

Which of the following is NOT a rate?
A
6 meters per second
O
B. 15 dollars per hour
C. 3 seconds per second
D. 2 dollars per pound

Answers

Answer:

c

Step-by-step explanation:

now are you going to get 3 seconds out of a second

Answer:

C

Step-by-step explanation:

C dosen't even make sence, so I think it is C.

Jamie wants to treat some friends to lunch. He has $40 and knows the lunch will cost about $7 per person p. How many people can Jamie buy lunch for.

Answers

He can but 5 people lunch and will have money leftover. If he includes himself it would be him and 4 other people.

Answer:

5 people

Step-by-step explanation:

40/7=5.71

Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone

Find the volume of each prism 6B+4 3/4H+ 6L in. WHOEVER ANSWERS FIRST GETS 30 PTS!!!!

Answers

Answer:

Okay, im sorry i have no idea how to work dis

jul used one bag of flour. She baked two loaves of bread. Then she used the remaining flour to make 48 muffins. How much flour was in the bag when Makenzie began? Use the chart to help you solve the problem.

Recipe
Amount of flour needed
Bread
2 ¼ cups per loaf
Muffins
3 ¼ cups per 24 muffins
Pizza
1 ½ cups per pie

Answers

Answer:

momdhwdjwbdjwbdjwbdjwbdjwbd a amamamamamamama

Step-by-step explanation:

Griffins's driveway is 30 feet long.

Choose the word and number to complete the sentence correctly.

To convert 30 feet to yards
?
30 by
?
.

Answers

Answer:

10 yards

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Y – X= -5
Answer:
Submit Answer
attempt 1 out of 2

Answers

I don’t understand the question

help me please i need help​

Answers

Answer:

220.5 ft²

Step-by-step explanation:

Hello There!

To find the area of the figure we want to split the figure into two shapes that a formula can easily be used to calculate their area

We split it into a rectangle with a length of 12 and a height of 14

and we split it into a trapezoid with base lengths that are equal to 7 and 14 and a height of 5

Now we can easily solve for the area

for the rectangle we use the formula

[tex]A=lw[/tex]

where l = length and w = width

[tex]a=12*14\\12*14=168\\a=168[/tex] so the rectangles area is 168 ft²

Now let's solve for the trapezoid's area

To calculate the area of the trapezoid we use the formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = the bases and h = height

all we have to do is plug in the values

[tex]a=\frac{7+14}{2} 5\\7+14=21\\\frac{21}{2} =10.5\\10.5*5=52.5[/tex]

so the area of the trapezoid is 52.5 ft²

Now we just add the two areas together

52.5+168=220.5

so the total area of the figure is 220.5 ft²

given F=(10,12,14,16),calculate the number of sunset F​

Answers

Answer:

1341

Step-by-step explanation:

10 1 2 3 1 4 1 4 1 4

What is the aspect ratio of a photograph that is 10 inches wide and 8 inches high?

Answers

Answer:

5:4

Step-by-step explanation:

10/2:8/2= 5:4

The approximate length (in cm) of a typical Pacific halibut t years old is given by f(t) = 200(1 -0.956e-0.181).
A Pacific lialibut caught by Mike measures 140cm. What is its approximate age?​

Answers

Answer:

6 years old

Step-by-step explanation:

Given

[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]

Required

Find t when f(t) = 140cm

Substitute f(t) = 140cm

[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]

Divide both sides by 200

[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]

Collect like terms

[tex]0.956e^{-0.18t} = 1 -0.7[/tex]

[tex]0.956e^{-0.18t} = 0.3[/tex]

Solve for t

[tex]e^{-0.18t} = 0.3/0.956[/tex]

[tex]e^{-0.18t} = 0.31381[/tex]

Take natural logarithm of both sides

[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]

[tex]-0.18tln(e) = ln(0.31381)[/tex]

[tex]-0.18t*1 = ln(0.31381)[/tex]

[tex]-0.18t = -1.159[/tex]

Solve for t

[tex]t = (-1.159)/(-0.18)[/tex]

[tex]t = 6.43[/tex]

[tex]t \approx 6[/tex]

Money is shared between Sam and Sophie in the ratio 4:7 Sam gets 120 how much money does Sophie receive?

Answers

Answer:

sophie receives £210

Step-by-step explanation:

120÷4=30

30x7=210

help someone please

Answers

I can’t really see it that good sorry

What is the measure of AC?

Answers

Answer:

a. 122 degree is the answer

At a picnic, there is a 5-gallon drink
dispenser filled with juice. Juice is served
in cups that each hold 8 fluid Ounces when
they are full. What is the greatest number
of cups that can be served?

Answers

Answer:

80 cups

Step-by-step explanation:

There are 640 ounces in 5 gallons so,

640 divided by 8 equals 80, therefore,

The greatest number of cups that can be served are 80

5 gallons is equal to 640 fluid ounces so if you divide 640 by the 8 fluid ounces that the cup can hold full this would give you 80 therefore you could fill 80 cups

2.386 rounded to the nearest tenth

Answers

Answer:

Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.

 

Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.

Step-by-step explanation:

Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.

 

Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.

2. Solve: 10 - 5m = 25
7
3
о
-3
Please help

Answers

Answer:

-3

Step-by-step explanation:

subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3

62
.
52
=
27
.
39
+
t

Answers

Answer:

t = 35.13

Step-by-step explanation:

Simplifying

62.52 = 27.39 + t

Solving

62.52 = 27.39 + t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-1t' to each side of the equation.

62.52 + -1t = 27.39 + t + -1t

Combine like terms: t + -1t = 0

62.52 + -1t = 27.39 + 0

62.52 + -1t = 27.39

Add '-62.52' to each side of the equation.

62.52 + -62.52 + -1t = 27.39 + -62.52

Combine like terms: 62.52 + -62.52 = 0.00

0.00 + -1t = 27.39 + -62.52

-1t = 27.39 + -62.52

Combine like terms: 27.39 + -62.52 = -35.13

-1t = -35.13

Divide each side by '-1'.

t = 35.13

Simplifying

t = 35.13

hope it helps !!!!!!!!!!!    :)

Who is smart enough to know this answer ?

Answers

A :v 12345678910111213141516171819


How to Simplify 9:27

Answers

simply divide the numerator and denominator by 9 (the GCF). So, 927 = 9÷927÷9 = 13. Thus, 927 is equivalent to 13 in the reduced form.

Answer:

It's simplified form is 1:3

Step-by-step explanation:

1st step: Convert them into fraction i.e.

[tex] \frac{9}{27} [/tex]

2nd step: Now check for their HCF i.e 9 so,

[tex] \frac{9 \div 9}{27 \div 9} [/tex]

And divide it with both the numerator and denominator and the result is,

[tex] \frac{1}{3} [/tex]

3rd step: Now convert them into ratio i.e

1:3

Hence, 9:27 simplified format is 1:3 (Ans)

3 - n = 9

algebra what does n =

Answers

move 3 to the other side making it negative
-n=9-3
-n=6
Explanation:

3-n=9

We minus 3 from each side of the equal sign.

-n = 6
We then multiply each side by -1.

n=6.

I hope this helps.

A rectangular table measures 1 yard by 4 yards. What is the surface area of the table

Answers

For a rectangular solid with length 14 14 cm, height 17 17 cm, and width 9 9 cm

Answer:

5 yard

Step-by-step explanation:

5

The security code to your home security system includes three single digit numbers 2.
and two letters. Repetition is allowed for the numbers but not allowed for the letters.

Answers

There is about 866 possible combinations. (please mark brainiest)

f (n) = 65 - 100n
f (39) =

Answers

f(39)=65-100(39)

65-3900

= -3835

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