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
Virty [35]
2 years ago
12

Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t

hat the population standard deviation is 29.
Mathematics
1 answer:
SVEN [57.7K]2 years ago
3 0

Answer:

The minimum sample size required is 207.

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean <em>μ</em> is:

CI=\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

The margin of error of this confidence interval is:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}

Given:

MOE=3\\\sigma=29\\z_{\alpha /2}=z_{0.01/2}=z_{0.05}=2.576

*Use a <em>z</em>-table for the critical value.

Compute the value of <em>n</em> as follows:

MOE=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=2.576\times \frac{29}{\sqrt{n}} \\n=[\frac{2.576\times29}{3} ]^{2}\\=206.69\\\approx207

Thus, the minimum sample size required is 207.

You might be interested in
Neck size, in inches, and number of teeth of 18 randomly selected puppies are compared. Which significance test should be used t
Masteriza [31]

Answer:

D

Step-by-step explanation:

its just obvious

go bucs

4 0
2 years ago
Find the difference: (6y3 + 17y − 3) − (4y3 − 11y + 9)
earnstyle [38]
<span>(6y3 + 17y − 3) − (4y3 − 11y + 9)
</span>= 6y3 + 17y − 3 − 4y3 + 11y - 9
= 2y3 + 28y  - 12
3 0
3 years ago
Given the following sets:
hjlf
<h3>Answer:  10</h3>

===========================================================

Explanation:

Even though your teacher doesn't want you to list the items of the set, it helps to do so.

We'll be working with these two sets

A = {b, d, f, h, j, I, n, p, r, t}

C =  {d, h, I, p, t}

When we union them together, we combine the two sets together. Think of it like throwing all the letters in one bin rather than two bins.

A u C = {b, d, f, h, j, I, n, p, r, t,   d, h, I, p, t  }

The stuff that isn't bolded is set A, while the stuff that is bolded is set C

After we toss out the duplicates, we end up with this

A u C = {b, d, f, h, j, I, n, p, r, t}

But wait, that's just set A. Notice how everything in set C can be found in set A. This indicates set C is a subset of set A.

That's why all of the stuff in bold was tossed out (because they were duplicates of stuff already mentioned).

Once we determine what set A u C looks like, we count out the number of items in that set to determine the final answer.

There are 10 items in {b, d, f, h, j, I, n, p, r, t} which means 10 is the final answer.

----------------------------

An alternative method is to use the formula below

n(A u C) = n(A) + n(C) - n(A and C)

n(A u C) = 10 + 5 - 5

n(A u C) = 10

The notation n(A and C) counts how many items are found in both sets A and C at the same time. But as mentioned earlier, this is identical to just counting how many items are in set C. So we'll have n(C) cancel out with itself.

In short, n(A u C) = n(A) = 10

8 0
2 years ago
A bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.
Cerrena [4.2K]
The correct answer is C hope this helps!
3 0
2 years ago
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form? Quadratic formula: x = StartFraction neg
Harman [31]

Answer:

x=\frac{-5(+/-)\sqrt{5}} {2}

x = StartFraction negative 5 plus or minus StartRoot 5 EndRoot Over 2 EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

f(x)=x^{2} +5x+5  

equate the function to zero

x^{2} +5x+5=0  

so

a=1\\b=5\\c=5

substitute in the formula

x=\frac{-5(+/-)\sqrt{5^{2}-4(1)(5)}} {2(1)}

x=\frac{-5(+/-)\sqrt{5}} {2}

therefore

x = StartFraction negative 5 plus or minus StartRoot 5 EndRoot Over 2 EndFraction

6 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old is Sam? Let P = Pete's age, S =
    7·1 answer
  • The image below is a triangle drawn inside a circle with center O: A triangle is shown inscribed inside a circle. The leg of the
    11·2 answers
  • Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $6. On Saturday, Rob earned $28 babysitting.
    10·2 answers
  • The diagram shows the locations of Cody and Reese after running
    12·2 answers
  • Which choice below lists all of the square roots of the number 15?
    5·1 answer
  • Solve the system of equations by elimination.<br> -X + y = -13 <br>-8x - 4y = -8​
    5·2 answers
  • I WILL THANK YOU THE QUESTION IS THE PHOTO! Pls answer ASAP IM GIVING 40 POINTS!!!
    6·1 answer
  • Tyrone practices the piano for 120 min each week. Amina practices the piano 45% of the time that Tyrone practices each week. How
    6·1 answer
  • In algebra (grade 7) :-
    12·2 answers
  • 3x+8y=15<br> 2x−8y=10<br> Solve for x
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!