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Vika [28.1K]
3 years ago
7

Estimate the minimum sample size needed to achieve the margin of error E= 0.101 for a 95% confidence interval.

Mathematics
1 answer:
Lisa [10]3 years ago
6 0

Answer:

The minimum sample size required is (376.59\ \sigma^{2}).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for population mean is:

 CI=\bar x\pm z_{\alpha /2}\ \frac{\sigma}{\sqrt{n}}

The margin of error for this interval is:

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

The information provided is:

 E = 0.101

Confidence level = 95%

α = 5%

Compute the critical value of <em>z</em> for α = 5% as follows:

 z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the sample size required as follows:

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

       n=[\frac{z_{\alpha/2}\times \sigma}{E}]^{2}

          =[\frac{1.96\times \sigma}{0.101}]^{2}\\\\=376.59\times \sigma^{2}

Thus, the minimum sample size required is (376.59\ \sigma^{2}).

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Find the mid segment of GH
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B. 2

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3 years ago
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2 years ago
PLEASE HELP ASAP
Volgvan

The length of each side of the polygon is the number of units on each side of the polygon, and the perimeter of the factory is 1000 feet

<h3>The length of each side of the polygon?</h3>

To do this, we simply calculate the number of units on each side of the polygon.

So, we have:

S1 = 5 units

S2 = 8 units

N1 = 13 units

E1 = 7 units

W1 = 3 units

W2 = 4 units

<h3>The perimeter of the polygon</h3>

This is the sum of the side lengths.

So, we have:

Perimeter = 5 + 8 + 13 + 7 + 3 + 4

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Each unit equals 25 feet.

So, we have:

Perimeter = 40 * 25 feet

Evaluate

Perimeter = 1000 feet

Hence, the perimeter of the factor is 1000 feet

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15 units.

Step-by-step explanation:

The distance between the points (x1, y1) and (x2, y2) is

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=  √225

= 15.

4 0
3 years ago
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