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
Aleks04 [339]
3 years ago
7

The fraction of defective integrated circuits produced in a photolithography process is being studied. A random sample of 300 ci

rcuits is tested, revealing 10 defectives. (a) Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. Round the answers to 4 decimal places.
Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

The correct answer is

(0.0128, 0.0532)

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 interval 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}

For this problem, we have that:

In a random sample of 300 circuits, 10 are defective. This means that n = 300 and \pi = \frac{10}{300} = 0.033

Calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool.

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.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 - 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0128

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{300}} = 0.033 + 1.96\sqrt{\frac{0.033*0.967}{300}} = 0.0532

The correct answer is

(0.0128, 0.0532)

You might be interested in
Identify a common factor (other than 1) of the terms in the expression −7x+21
Naddika [18.5K]

Answer:

Step-by-step explanation:

jjefhiuewubgiurbvrebf

4 0
3 years ago
Read 2 more answers
Which of the following is a radical equation?
MrMuchimi
It is A because it can’t be B and it can’t be C and it can’t be D so my answer is A
5 0
3 years ago
The cost of a car rental is ​40$ per day plus 20 cents per mile. You are on a daily budget of ​92$. Write and solve an inequalit
Ipatiy [6.2K]

Answer:

92-40=52

52/0.2 (0.2 = 20 cents) = 260

Step-by-step explanation:

260 is the greatest distance you can travel.

6 0
2 years ago
How many cubic feet of water can the following in ground swimming pool hold
pashok25 [27]
What pool? Any of these answers work when we don’t know what pool...
3 0
3 years ago
Read 2 more answers
Given f(x)= 3x+21. A. F(4)=B. F(X)= 50, X=2. C. F(-5)=D. F(X)= -34, X=
nignag [31]

The given function is

f(x)=3x+2

A . f(4) means we have to evaluate the function when x = 4.

f(4)=3(4)+2=12+2=14<h2>Therefore, f(4) = 14.</h2>

B. f(x) = 50 means we have to evaluate the function when y = 50.-

\begin{gathered} 50=3x+2 \\ 50-2=3x \\ x=\frac{48}{3} \\ x=16 \end{gathered}<h2>Therefore, f(16) = 50.</h2>

C. f(-5) means we have to evaluate the function when x = -5.

f(-5)=3(-5)+2=-15+2=-13<h2>Therefore, f(-5) = -13.</h2>

D. f(x) = -34.

\begin{gathered} -34=3x+2 \\ -34-2=3x \\ x=\frac{-36}{3} \\ x=-12 \end{gathered}<h2>Therefore f(-12) = -34.</h2>
4 0
1 year ago
Other questions:
  • Which of these numbers is irrational?<br> a)2.3<br> b)sqrt 3<br> c)sqrt 4<br> d)1/3
    15·2 answers
  • PLEASE HURRY!!!!!!!!! <br> Given the following formula, solve for h. V= 1/3*3.14*r^2h?
    6·2 answers
  • A 100%increase followed by a 50% decrease
    12·2 answers
  • Subtract. ( 2 9 v)−(− 1 3 v+ 5 9 ) A. 5 9 v+ 5 9 B. 1 9 v+ 5 9 C. 5 9 v− 1 3 D. 5 9 v− 5 9
    12·1 answer
  • URGENT PLZ HELP<br>What is the value of P?<br><br>A.45°<br><br>B.35°<br><br>C.125°<br><br>D.55°​
    5·2 answers
  • Can a object that measures 1.8 metres by 1.2 metres fit in a gap that measure 1 metre by 0.75 metres
    7·1 answer
  • What's 1 + 1 (One plus one)?​
    12·2 answers
  • Help ASAP
    12·2 answers
  • HELPPPP MEEEE PLEASE!!!!​
    6·1 answer
  • How am I supposed to find the volume to something if I only know the height?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!