What is angle A in the following equation?

An engineer wishes to determine the width of a particular electronic component. If she knows that the standard deviation is 1.6

nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

6 0

3 years ago

R + s² at r = 4, s = 1 ( Pls show work) AND NO LINKS THX UwU

icang [17]

r+s^2

4+1^2

4+2

6

Hopefully this helped

Cani get the brainliest please

5 0

3 years ago

What is 3 = 5x - 12?

zepelin [54]

Answer:

x = 3

Step-by-step explanation:

3=5x-12

Rearrange the Equation.

5x - 12 = 3

Add 12 to both sides.

5x - 12 + 12 = 3 + 12

Simplify

5x = 15

Divide both sides by 5

5x/5 = 15/5

x = 3

5 0

4 years ago

Randomly selected statistics students of the author participated in an experiment to test their ability to determine when 60 sec

Zanzabum

Answer:

The answer would be: We are 95% confident that the interval from 55.4 seconds to 61.2 seconds actually does contain the true value of μ.

8 0

3 years ago

Which of the following examples best represents the use of an interval scale? measuring the number of cookie boxes sold by scout

Mashcka [7]

Answer:

students' ratings of their professors' performance on a five-point scale ranging from poor to excellent

Step-by-step explanation:

There are four type of scales in mathematics. They include:

1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot

2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance

3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.

Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.

4. Ratio scale : this scale has the property of order, a meaningful zero and equal intervals.

6 0

3 years ago