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Nutka1998 [239]
3 years ago
14

Which statements are true?

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

Step-by-step explanation:

There's only one correct answer, and you've already responded with that answer.

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Step-by-step explanation:

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7 0
3 years ago
An article reported that, in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and
Ahat [919]

Answer:

(0.4062, 0.5098)

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 interval 1-\alpha, we have the following confidence interval of proportions.

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

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

356 dies were examined by an inspection probe and 163 of these passed the probe. This means that n = 365 and \pi = \frac{163}{356} = 0.458

Assuming a stable process, calculate a 95% (two-sided) confidence interval for the proportion of all dies that pass the probe.

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975[tex], so [tex]z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.458 - 1.96\sqrt{\frac{0.458*0.542}{356}} = 0.4062

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.458 + 1.96\sqrt{\frac{0.458*0.542}{356}} = 0.5098

The correct answer is

(0.4062, 0.5098)

5 0
3 years ago
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