Plz help me Solve for n. 9/8n= -54 n =

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

Stephen was thinking of a number. Stephen divides by 7, then adds 8 to get an answer of 12. What was the original number?

Ganezh [65]

Answer:

the answer is twenty-eight

7 0

3 years ago

Read 2 more answers

On a bike ride across the United States, Rodney rides 190 miles every 4 days. If he continues at this rate, how many miles can h

Gwar [14]

190÷4= 47.5
47.5 is how many miles a day Rodney is traveling
190+47.5+47.5 = 285
285 miles

8 0

4 years ago

What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −23 ?

DENIUS [597]

The equation a line is:

y - y1 = m(x - x1)

Substitute the slope and the coordinate.

y - (-7) = -23(x - 1)

y + 7 = -23(x - 1)

D) y + 7 = -23(x - 1) is the solution

5 0

3 years ago

D.2 please help I’ll mark brainliest

bixtya [17]

Answer:

At 2

Step-by-step explanation:

I think it is because it slants down instead of going up. That is the reason why I say my answer is at 2.

HOPE THIS HELPED

7 0

3 years ago

Plz help meSolve for n. 9/8n= -54 n =