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77julia77 [94]
3 years ago
14

The burj khalifa a building in dubai united arab emirates is about 828 meters tall

Mathematics
1 answer:
almond37 [142]3 years ago
6 0
The Burj Khalifa, a building in Dubai, United Arab Emirates, is about 828 meters tall. Brody is making a scale model of this building, using the scale 500 meters : 1 meter.
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A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 :
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Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

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In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

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Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

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80% confidence level

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The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

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