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

ill mark brainlist plss help

Answers

It’s B! You multiply the height by width

3/4x - 7 > 5
whats the inequality ?

Answers

Answer:

x > 16

Step-by-step explanation:

3/4x > 12

3x > 48

x > 16

hope this helps

if you can answer correctly I will cash app you my cash app is cathackley

Answers


The boxes from left to right are

100
2
25/3

The ratio is 5/3 pies to cakes so
Top square = bottom square times 5/3
OR
Bottom square = top square times 3/5

Answer:

yo i know the answer its 5$ for me to help

Step-by-step explanation:

Pls someone help me with this question pls

Answers

Answer:

[tex]p =\frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]

Required

Probability of assigning a nonagon

From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon

This means that:

[tex]n = 6[/tex] --- Total

[tex]Nonagons = 1[/tex]

So, the probability, p is:

[tex]p =\frac{Nonagons}{n}[/tex]

[tex]p =\frac{1}{6}[/tex]

Solve the equation below. Show all work and round four decimal places.
In(x^4)=6

Answers

Answer:

The solution is [tex]x = 4.4817[/tex]

Step-by-step explanation:

The inverse of the ln function is the exponential, which means that to solve this question, we apply the exponential to both sides.

We have that:

[tex]\ln{(x^4)} = 6[/tex]

Applying exponential to both sides:

[tex]e^{\ln{(x^4)}} = e^6[/tex]

[tex]x^4 = e^6[/tex]

[tex]x = \sqrt[4]{e^6}[/tex]

[tex]x = (e^6)^{\frac{1}{4}}[/tex]

[tex]x = 4.4817[/tex]

The solution is [tex]x = 4.4817[/tex]

5x−y=10 3x+y=14 please solve the system of equations and show your work

Answers

work is down below. the answers is x=3

Answer:

x = 3, y = 5

or (3,5) in coordination point form.

Step-by-step explanation:

We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.

[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]

Convert both equations to slope-intercept form.

[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]

Then combine both equations

[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]

Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10

[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]

Hope this helps!

At the produce store you can buy 4 bags of bananas for $22.52. How much would it cost if you were to buy 2 bags? Explain

Answers

Answer:

11.26

Step-by-step explanation: The easy way to . complete this is to get the 22.52 split it in half to get your answer. Because they asked for the price of 2 and 2 is half of 4.

since 4 bags of bananas costs $22.52, you would just divide by 2 to find out how much 2 bags of bananas costs.

22.52/2=$11.26

It costs $11.26 for 2 bags of bananas.

Can anyone help me with my homework

Answers

GFBH is the code

1 is -3,-2 which is G
2 is 3,4 which is F
3 is 2,0 which is B
4 is 1,-3 which is H

w^2 + 2 + 48 divided by 2z. If w = 5 and z = 8 *

Answers

Replace w and z with the given values:

5^2 + 2 + 48 / 2(8)

Simplify:

75/16 = 4 and 11/16

HELP ME PLEASE I HAVEE 5 MINNS lEft HELP

Answers

Answer:

im going to guess the last answer. theone that i can't see

Step-by-step explanation:

what is the mean of the ages of the dance instructors?

IM GIVING BRAINLIEST‼️

Answers

Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

75% of n is 45. n is what percent of 90?​

Answers

Answer:

66.67%

Step-by-step explanation:

75 /100 = .75

.75n = 45

45/.75 = 60

60 is n

60/90 = .666667

.666667 * 100 = 66.67%

Answer: for this problem, I will be using proportions.

Step-by-step explanation:

Find n

45 x 100 = 4,5000

4,5000 / 75 = 60

n = 60

60 x 100 = 6,000

6,000 / 90 = 66.66%

So, n is equal to 60 and n is 66.66% of 90.

Which statement does not describe the graph of f(x) = -3
3 (*)*-+2?
A As x→ 00, f(x) +0.
B As x→-0, f(x) →-0.
© The y-intercept is (0, -13).
D The asymptote is y = 2

Answers

It’s is Wright and you are going to come at the park tomorrow at night and then we can go tomorrow we

7. An equilateral triangle has sides of length 6.2cm, correct to the nearest millimetre.
Complete the statement about the perimeter, Pcm, of the triangle.

Answers

Answer: 6.2*3= 18.6cm

I just need these three questions fine, they should be easy, 7th grade level

Answers

1) A graph is linear when the line on a graph is a straight line with no curves.

2) A proportional graph means that as x increases, y increases and when x decreases, y decreases and their ratio always stays the same.

3) (I don't know what type of equation you mean but this is my guess)

Division is the last step of an equation.

WILL MARK B!
Please I need help I have a quiz

Answers

Answer:

a) 2x² - x + 3 = x(2x + 1) - 2x

<=> 2x² - x + 3 = 2x² + x - 2x

<=> 3 - x = - x

<=> 3 = 0

=> no solution

b) x/2 - x/3 - x/4 = 1/12

[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]

=> the euqation has the solution x = 1

c) |x - 5| = 2|x|

=> x - 5 = 2x

or x - 5 = -2x

<=> x = -5

or 3x = 5

<=> x = -5

x = -5or x = 5/3

d) defined conditions: 2 - x 》 0

<=> x 《 2

we have:

[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]

<=> x = 0 (because x 《 2)

e)

[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]

<=> x = -1/4

Answer:

[tex]a) [x: - \infty < x < \infty ][/tex]

[tex]b)[x: - 1][/tex]

[tex]c) [x:- \frac{5}{3} ][/tex]

[tex]d) [x: 3, 0][/tex]

[tex]e) [x: - \frac{1}{4} ][/tex]

20 + 36 = ? (5 + 9)
f f f f f f f f

Answers

Answer:

70

Step-by-step explanation:

20+36=56

(5+9)=14

56+14=70

Answer:

4

Explanation:

20+36 = ? (5+9)
56 = ? (14)
4 = ?

Check the work:

20+36 = 4(5+9)
56 = 4(14)
56 = 56 ✔️

Five family members are going to a play. A service charge of $2 is added to the cost of each ticket. The family is willing to pay $250 or less for the five tickets. What is the greatest amount the family is willing to pay for each ticket? PLEASEE HELPPP ME

Answers

five family members so 250 Divided by 5 is 50 so a maximum of $50

250 ÷5 = 50

$50

Hope this helps!

The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.

What is the volume of the pyramid?


72 cm³

48 cm³

32 cm³

60 cm³

Answers

Answer:

72 cm³

Step-by-step explanation:

i just took the test :)

The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).

What is the volume of a right square pyramid?

The formula for the volume of a right square pyramid is:

V = (1/3) B × h

where B is the area of the base and h is the height of the pyramid.

Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.

The area of the square base is:

B = s² = 6² = 36 cm²

The volume of a right square pyramid is:

V = (1/3) B × h

Substituting in the given values, we get:

V = (1/3) × 36 × 6

V = 72 cm³

Therefore, the volume of the pyramid is 72 cm³.

Learn more about the volume of the pyramid here:

https://brainly.com/question/13268927

#SPJ3

Solve for n:5*8^3n+1=80

Answers

Answer:

8^(3n+1) = 80/5

8^(3n+1) = 16

(2^3)^(3n+1) = 2^4

2^(3*(3n+1) = 2^4

Having same power so;

9n+3 = 4

9n = 4-3

9n = 1

n = 1/9

Oi please help me it’s to hard

Answers

Umm what is that you are working on.
For the drawing. All you have to do is draw exactly what’s on the other side but make sure to fill in what’s missing (the white triangles) oh those aren’t triangles. (the white diamonds)

(GIVING BRAINLIEST) who can tell me what grade middle school starts in the U.S.A

Answers

Answer:

Middle school (also called junior high school)

It starts with grade 6 and ends with grade 8.

Step-by-step explanation:

Find the volume of cylinder with height 9 cm and radius 4 cm

Answers

Answer: 144π

Step-by-step explanation: First. find the area of the bases. To do this, you must solve for the area of a circle with a radius of 4. Since the formula for finding the area of a circle is area=πr² squared, the area of the circles are 16π. Next, you must multiply the area of the base, 16π, by the height of the cylinder, 9. 16π times 9 is 144π, or about 452.4, if rounded to the nearest tenth, or 452.39, if rounded to the nearest hundredth.

PLEASE HELP!!

Find the lateral area of this cone. Leave your answer in terms of pi.

25 cm

8 cm

Answers

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

solve for x please help asap! 20 points

Answers

25x-21 is the answer ,
But I’m not sure in what your learning so that’s the best guess I have .

Answer:

25x-21 would be my best guess!

-4x - 18 = 46


need help​

Answers

Answer:

x=−16

Step-by-step explanation:

−4x−18=46

Add 18 to both sides

−4x−18+18=46+18

−4x=64

Divide both sides by -4

-4x/4=64/-4

x=−16

Answer:

x=    -16

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x − 18 = 46

Step 1: Add 18 to both sides.

−4x − 18 + 18 = 46 + 18

−4x = 64

Step 2: Divide both sides by -4.

−4x / −4  =  64  / -4

x=−16

Hope it helps T-T

A company makes wax candles shaped like rectangular prisms. Each candle is 5 cm long, 3cm wide, and 10cm tall. If the company used 3900 cm3 of wax, how many candles did they make?

Answers

Answer:

26 candles

Step-by-step explanation:

Someone help me on this please

Answers

Answer:

b

Step-by-step explanation:

2 feet, 6 inches = ____ inches

Answers

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

Answer: 30 inches

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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

the answer is 30 inches


Find the value of x. ​

Answers

The answer would be x=18. First you set it up by setting up an equation;

166=7x+40. Then you subtract 40 from each side. Last, you divide both sides by 7 and you should get x=166 or 166=x.  

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