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]
3 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]3 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
I'm confused on this one
pishuonlain [190]
Ok, I'm only in 8th grade but I believe you do addition first in the problem. Hope this helps! <3
7 0
3 years ago
If a+3b=13 and a+b=5 the value of b is
hoa [83]

Answer:b=4

Step-by-step explanation:

7 0
3 years ago
How munch dose cups go in pints
lions [1.4K]
Two cups in a pint,at least here in the us
3 0
3 years ago
Read 2 more answers
Omg please help for brainlist !!!!!!!!!!!!!!!!!!!
zhannawk [14.2K]

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.

First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:

(-38)-(-18)=-20\\(-58)-(-38)=-20\\(-78)-(-58)=-20

All of these points are the same distance apart on the y, so f(x) must be a linear function.

Now look at g(x). These are also all equally distant at only 1 unit apart.

30-10=20\\90-30=60\\270-90=180

These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.

6 0
2 years ago
Julia has correctly answered 35 questions from a test, which is 7/12 of the total. How many questions did the test have?
otez555 [7]

Answer:

There are 60 questions on the test

Step-by-step explanation:

Hope this helps :)

4 0
3 years ago
Other questions:
  • Do you think it is okay to make friends over the internet or is it too dangerous to trust what people over the internet are sayi
    12·1 answer
  • sam wants to meet his friend beth at a restaurant before they go to the theater.the restaurant is 9 km south of the theater.plot
    15·1 answer
  • A publisher estimates their costs of publishing a book is from $780,000 to $1,040,000. So far, they have spent $624,000. Which c
    6·1 answer
  • Find the area of the hexagon with a radius length of 4. Please write the answer in simplified radical form. Please help
    11·1 answer
  • If 2x+4=8, what is 9x?
    10·2 answers
  • Alonzo and Mitra wanted to share a pizza. Mitra ate
    7·1 answer
  • ach light bulb at Hotel California is either incandescent or fluorescent. At a certain moment, forty percent of the incandescent
    14·1 answer
  • What is the square root of 166?
    10·2 answers
  • Which system of equations does the graph represent?
    8·1 answer
  • PLEASE HELP I WILL MARK YOU BRAINLIEST IF CORRECT
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!