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egoroff_w [7]
3 years ago
7

On an assembly line that is 150 feet long, there is a work station every 15 feet. The first station is at the very beginning of

the line. How many work stations are there?
Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0
There are 10 work stations i believe, 150 divided by 15 is 10.
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Step-by-step explanation:

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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99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

​(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use \pi = 0.5, which is when we are going to need the largest sample size.

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

0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 2.575*0.5

(\sqrt{n}) = \frac{2.575*0.5}{0.04}

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(b) Assume prior studies have shown that about 55​% of​ full-time students earn​ bachelor's degrees in four years or less.

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(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}

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n = 1025.7

Rounding up

n = 1026.

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