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
Lorico [155]
3 years ago
14

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 3.3

mm, how many of these components should she consider to be 95% sure of knowing the mean will be within ± 0.3mm?
- 328

- 5062

- 465

- 33

- 22
Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

Answer:

n=465 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=3.3 represent the population standard deviation

Confidence =0.95 or 95%

Me= 0.3, represent the margion of error

n represent the sample size (variable of interest)

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.3 mm and we are interested in order to find the value of n, if we solve n from equation (4) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(3.3)}{0.3})^2 =464.8336 \approx 465

So the answer for this case would be n=465 rounded up to the nearest integer

You might be interested in
Which of these ratios is not a rate?
Doss [256]

Answer:

i think it is B

Step-by-step explanation:

because that one isn't really a rate as much as the other ones are, its more of a ratio, i'm bad at explaining things, hope its correct :D

6 0
3 years ago
What is the simplified form of the quantity of x plus 7, all over the quantity of x plus 3 + the quantity of x minus 4, all over
Hunter-Best [27]
Multiply all of those and minus and do what is said and of not serch for links ok
3 0
3 years ago
Solve for x.<br> x = [?]<br> 5x - 7/. 3x + 27
Tanzania [10]

Step-by-step explanation:

5x-7+3x+27=180

8x+20=180

8x=160

x=20°.

hope this helps you.

8 0
3 years ago
Read 2 more answers
Please help thank you
Aleks04 [339]

Answer:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step-by-step explanation:

3 0
3 years ago
Where do you find the axis of symmetry and what is it?
kogti [31]

Answer:

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola.

Step-by-step explanation:

I took algebra last year.

4 0
3 years ago
Other questions:
  • Please help idk how to solve this
    5·1 answer
  • In the figure, a∥b and m∠1 = 34°.<br><br> What is the m∠2 ?
    13·2 answers
  • Alice wants to buy some paper towels. She has two options. She can either buy a package of four rolls or she can buy one roll no
    15·1 answer
  • Mia deposits $300 into an account that pays simple interest at a rate of 5% per year, how much interest would she be payed in th
    14·1 answer
  • The slope of line (-1,1) (2,-5)?
    10·1 answer
  • What is the solution to the system of equations graphed below?
    11·1 answer
  • How do I solve for IQR?
    7·1 answer
  • WILL MARK BRAINLYIST
    8·1 answer
  • Your gross income is<br> $1945.63 of which you<br> get to keep 86% after<br> taxes.
    10·1 answer
  • The domain of a quadratic function is all real numbers and the range is y ≤ 2. How many x-intercepts does the function have?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!