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alex41 [277]
3 years ago
15

Find the 20th, 40th, 60th, and 80th percentiles of the standard normal distribution. Round the answers to two decimal places.

Mathematics
1 answer:
Fed [463]3 years ago
3 0
To answer the question above, we have to use the z-score percentile table for the standard normal distribution. It shows:
The 20th percentile  =  - 0.84
The 40th percentile  =  - 0.25
The 60th percentile  =    0.25
The 80th percentile  =    0.84 

I hope my answer helped you. Have a nice day!
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A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Leto [7]

Answer:

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.

This means that n = 533, \pi = \frac{351}{533} = 0.6585

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 - 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6247

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6585 + 1.645\sqrt{\frac{0.6585*0.3415}{533}} = 0.6923

The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).

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3 years ago
Can someone give me the steps to do this like regroup help?
Ymorist [56]
The answer is 21.9

Hope this helps good luckkk :)
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