Please answer this quick

A fast-food restaurant has an automated beverage machine that dispenses a set amount of liquid based on a size setting. Suppose

SashulF [63]

Answer:

$n=(\frac{2.58(17)}{10})^2 =19.24 \approx 20$

So the answer for this case would be n=20 rounded up to the nearest integer would be the sample required to obatin a margin of erros or 10 ml at 99% of confidence

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)

$\sigma =17$ represent the population standard deviation

n represent the sample size

Solution to the problem

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 =10 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 99% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.005;0;1)", and we got $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(17)}{10})^2 =19.24 \approx 20$

So the answer for this case would be n=20 rounded up to the nearest integer would be the sample required to obatin a margin of erros or 10 ml at 99% of confidence

8 0

3 years ago

Tinas rent will increase from $595 this year to $708 next year what is the percent change to the nearest percent

snow_lady [41]

Answer:

The answer rounded to the nearest percent is 19%.

Step-by-step explanation:

The formula for percent change is this:

((y2 - y1) / y1)*100

Let y1 be the first value (595) and let y2 be the second (708).

((702 - 595) / 595)*100

702 - 595 is 107 and 107/595 is approximately 0.188, multiplied by 100 is 18.8, which is rounded to 19%.

That is our solution.

<em>And that's an awfully small amount of rent to pay (at least in California).</em>

4 0

3 years ago

Read 2 more answers

Match the numbers with the correct label

hodyreva [135]

Answer:

ima let u answer some of it

Step-by-step explanation:

first find common denominators

then compare and place

7 0

3 years ago

Scientists researching the effect of dietary supplements such as multivitamins and supplements of folic acid, magnesium or zinc

yarga [219]

Answer: Null hypothesis : $H_0: p_1=p_2$

Alternative hypothesis : $H_a: p_1\neq p_2$

Step-by-step explanation:

Let $p_1$ be the proportion of women using supplements and $p_2$ be the proportion of women who did not to have died during that period .

Then the set of hypothesis for testing if the proportion of women elderly women who use dietary supplements is different than those who do not will be :-

Null hypothesis : $H_0: p_1=p_2$ [∵ it takes equality sign]

Alternative hypothesis : $H_a: p_1\neq p_2$ [∵ it takes ≠ sign to show difference]

6 0

3 years ago

Help this is due tomorrow I will give brainliest

andrezito [222]

2. 9
3.500
I didn’t get the rest yet

7 0

3 years ago

Read 2 more answers