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
iVinArrow [24]
3 years ago
6

A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b

e defective. With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is _________.
Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

p = 0.1

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

\sqrt{n} = 14.7

(\sqrt{n})^{2} = (14.7)^{2}

n = 216

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

You might be interested in
1. Using the drawing, if the measure of angle 2 is 42° and the measure of angle 3 is 52°, what is the measure of angle 6?
Ann [662]

first is 86

we know because of the sum of the interior angles of a triangle being 180, and that 5 + 6 =180

4 0
3 years ago
Read 2 more answers
As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for each shipment. The express
Dafna1 [17]
Howdy!

using the expression 14.99(n) + 4.99, the total of 3 CDs would cost $49.96.
8 0
3 years ago
Read 2 more answers
Can someone answer my question please
Charra [1.4K]

Answer:

Step-by-step explanation:

Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)

\frac{\theta }{360}\cdot 2\pi \left(11\right)=16

\frac{\theta }{360}=\frac{16}{22\pi }

\theta \:=\frac{16}{22\pi \:}\cdot 360

{\theta}=83.34

8 0
2 years ago
Read 2 more answers
The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?
11Alexandr11 [23.1K]

Answer:

0.4016%

Step-by-step explanation:

Estimated Value = 3,500 people ,  Exact attendance = 3486 people

We can see that there is a Percentage decrease . So we will apply the formula.

%Decrease = Old Value - New Value /Old Value × 100%

%decrease = 14/3486 %

%Decrease = 0.4016% (Answer)

5 0
2 years ago
Read 2 more answers
An analyst estimates that a share price has an 80% probability of increasing if economic growth exceeds 3%, a 40% probability of
Harman [31]
14,15,16,17,18,10,45,45)
8 0
2 years ago
Other questions:
  • What is the probability of spinning different numbers when the spinner below is spun twice​
    10·1 answer
  • What is the height of this triangular prism?
    5·1 answer
  • Which inequality is represented on the line?<br> -11-10
    7·2 answers
  • What’s the Answer to this I got 24 somehow
    9·1 answer
  • Each week, Joey gets paid $10 plus $2 for each chore he does. His sister Julie gets paid $5 plus $3 per chore.
    11·2 answers
  • Write an equation in point-slope form for the line that has the given slope, m, and
    7·1 answer
  • Help would be very needed
    8·1 answer
  • Select all the names that could be used to describe the figure.
    15·1 answer
  • Find the value of the trigonometric ratio: tan X.
    14·1 answer
  • -3/4 plus -8/9
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!