The Great Wall of China, built in the 7th century BCE, is about 1 x 10^4 miles long. The Panama Canal, built over 2 thousand yea
1 answer:
The Great Wall of China is about 200 times longer then the Panama Canal
<h3>How many times longer is the Great Wall of China?</h3>Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. An examples of 100 expressed in scientific notation is 1 x 10².
In order to determine the difference in the length of the great wall of China and the Panama Canal, divide the length of the Great wall of China by the length of the Panama Canal.
(1 x ) ÷ (5 x
)
(1/5) x
0.2 x
2 x
2 x10² = 200
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Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.
<h3>What is a z-distribution confidence interval?</h3>The confidence interval is:
The margin of error is:
In which:
is the sample mean.
- z is the critical value.
- n is the sample size.
is the standard deviation for the population.
Assuming an uniform distribution, the standard deviation is given by:
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The sample size is found solving for n when the margin of error is of M = 0.006, hence:
n = 142,282.
A sample of 142,282 should be taken, which is not practical as it is too large of a sample.
More can be learned about the z-distribution at brainly.com/question/25890103
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