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3 years ago

Please help me with this, thank you

Mathematics

1 answer:

kirill [66]3 years ago

3 0

Answer:

the first construction

Step-by-step explanation:

a straight line runs from top to bottom

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sineoko [7]

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Option B and C are equal ratios

15 pack of 8 pencils gives you more pencils

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3 years ago

Find 81/169 A. 9/10 B. 9/13 C. 13/8 D. 8/15

Leviafan [203]

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idek

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3 years ago

A machine produces a part for the automotive industry. 4% of the parts produced were defective in the past, and we believe that

Mamont248 [21]

Answer:

$n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76$

And rounded up we have that n=115

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

Solution to the problem

The margin of error for the proportion interval is given by this formula:

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

The proportion of defectives is estimated as: $\hat p=0.04$ . And on this case we have that the margin of error is $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76$

And rounded up we have that n=115

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