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Alborosie
3 years ago
11

The area of the surface of the swimming pool is 210 square feet. What is the length d of the deep end in feet

Mathematics
1 answer:
Natali [406]3 years ago
6 0
72 is the length d of how deep end in feet}
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A manufacturing company wants to use a sample to estimate the proportion of defective tennis balls that are produced by a machin
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Answer:

The least number of tennis balls needed for the sample is 1849.

Step-by-step explanation:

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

 CI=\hat p\pm z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

The margin of error for this interval is:

 MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

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The information provided is:

MOE = 0.03  

Confidence level = 99%

<em>α</em> = 1%

Compute the critical value of <em>z</em> for <em>α</em> = 1% as follows:

 z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58

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

Compute the sample size required as follows:

 MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p(1-\hat p)}{n}}

       n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}

          =[\frac{2.58\times \sqrt{0.50(1-0.50)} }{0.03}]^{2}\\\\=1849    

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