Find seven ordered pairs to the equation y=x^2-4

A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.1 in. Determine the minimum sample

leva [86]

Answer:

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

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 $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 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)

$\sigma=0.25$ represent the population standard deviation

n represent the sample size (variable of interest)

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

The margin of error is given by this formula:

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

And on this case we have that ME =0.1 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

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

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 $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.25)}{0.1})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

8 0

4 years ago

Jake manages one of the flower shops. He wants to use the camations

love history [14]

Answer:

first you much determine the largest common factor of 16 and 60, which is 4. This means that 4 can be divided evenly into both 16 and 60 and that 4 is the maximum number of flowers for each arrangement.

Next you divide 16 by 4 to get the total number of arrangements of roses (16/4= 4 arrangements), and

divide 60 by 4 to get the total number of arrangements of carnations (60/4= 15 arrangements).

This means that Kyle can make a total of 19 arrangements (4+15=19).F

Step-by-step explanation:

hope this helps:0

6 0

3 years ago

Identify the pair of angles shown in the figure. answers A. LINEAR PAIR B. COMPLEMENTARY C. CONGRUENT D. VERTICAL

posledela

Answer:

linear pair

Step-by-step explanation:

The two angles add together to form a straight line, which is 180 degrees.

These angles are supplementary, or a linear pair

4 0

3 years ago

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In one school year, the students spent a total of 840 hours in their classes. If they have EIGHT different classes, how many hou

ziro4ka [17]

Answer:

280 hours

Step-by-step explanation:

8 0

3 years ago

According to the fundamental theorem of algebra, how many zeros does the polynomial below have?

Oxana [17]

It has 3 zeros, because its a polynomial of degree 3.

6 0

3 years ago

Read 2 more answers