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3 years ago

6 x 10^-7 in scientific notation

Mathematics

1 answer:

Kaylis [27]3 years ago

7 0

This is already in scientific notation

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4 years ago

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Answer:

We need a sample size of at least 650

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

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Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem:

We need a sample of size at least n

n is found when $M = 0.005, \sigma = 0.065$

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.005 = 1.96*\frac{0.065}{\sqrt{n}}$

$0.005\sqrt{n} = 1.96*0.065$

$\sqrt{n} = \frac{1.96*0.065}{0.005}$

$(\sqrt{n})^{2} = (\frac{1.96*0.065}{0.005})^{2}$

$n = 649.23$

Rounding up

We need a sample size of at least 650

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Step-by-step explanation:

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