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
AlekseyPX
3 years ago
12

A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component li

fetimes are normally distributed with population standard deviation of 16 hours. How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours
Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

189 components must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.005 = 0.995, so Z = 2.575.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.

This means that \sigma = 16

How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?

n components must be sampled.

n is found when M = 3. So

M = z\frac{\sigma}{\sqrt{n}}

3 = 2.575\frac{16}{\sqrt{n}}

3\sqrt{n} = 2.575*16

\sqrt{n} = \frac{2.575*16}{3}

(\sqrt{n})^2 = (\frac{2.575*16}{3})^2

n = 188.6

Rounding up:

189 components must be sampled.

You might be interested in
Hi guys. I have a problem with Mathematics. The topic is set.If A= {x:2
Rina8888 [55]
234 Lyme and net Emma d t t. T t goo
3 0
2 years ago
Combine like terms,<br><br> 1)c+19-4<br><br> 2)m+12-10
rewona [7]
1) Would be c+15 because you can combine 19-4

2) Would be m+2 because you can combine 12-10
8 0
3 years ago
Read 2 more answers
QUESTION 3 What is the area of the parallelogram?
lara31 [8.8K]

Answer:

C. 275.88‬ m squared

24.2 * 11.4 = 275.88‬ m squared

6 0
2 years ago
Find the coordinates of point P
Drupady [299]
Here is the formula for finding a partitioning point:
x=x1+k(x2-x1), y=y1+k(y2-y1)
k is the ratio of the segment from the beginning point to the partitioning : the whole segment. In this case, k=AP:AB=5/16
so x=1+(5/16)*(-2-1)=1/16
y=6+(5/16)(-3-6)=51/16
so the answer is (-1/16, 51/16)

Please double check my calculation by yourself.

refer to this website for the formula and how to find k:

"This ratio is called k, and is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio."
https://cobbk12.blackboard.com/bbcswebdav/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordina....
6 0
3 years ago
Does this graph show a function? Explain how you know.
torisob [31]

Answer:

A

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • What is the area of the sector that is NOT shaded?
    9·2 answers
  • 2x-4 (x-4)=-2+3x+3 what's the value of x
    11·2 answers
  • Juarez Distribution Company conducted a time study of Martha Smith’s job as an installer. Using the observation chart, find her
    12·1 answer
  • In the diagram, what is m ASR?<br> MZVSR=<br> RS U<br> Wandern<br> Im
    10·1 answer
  • What is the value, after seven years, of a 2014 ford mustang that originally cost 25,000. 00 dollars if it depreciates at a rate
    11·2 answers
  • Answer the following question CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
    12·2 answers
  • An equation ___ has one solution <br><br> A. Always <br> B. Sometimes <br> C. Never
    7·1 answer
  • Consider having a personal loan that spans 50 years. The loan was only taken out for $1000, but the interest rate was a higher f
    13·2 answers
  • Help I’m trying to finish this math tests
    5·1 answer
  • What is the total number of different 9-letter arrangements that can
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!