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RSB [31]
4 years ago
9

Look at this graph what is the slope ?

Mathematics
1 answer:
Bogdan [553]4 years ago
6 0

There is no graph connected to the question

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A market surveyor wishes to know how many energy drinks teenagers drink each week. They want to construct a 98% confidence inter
frosja888 [35]

Answer:

The minimum sample size required to create the specified confidence interval is 1024.

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{1-0.98}{2} = 0.01

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

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.327

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.

What is the minimum sample size required to create the specified confidence interval

This is n when M = 0.08, \sigma = \sqrt{1.21} = 1.1.

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

0.08 = 2.327*\frac{1.1}{\sqrt{n}}

0.08\sqrt{n} = 2.327*1.1

\sqrt{n} = \frac{2.327*1.1}{0.08}

(\sqrt{n})^{2} = (\frac{2.327*1.1}{0.08})^{2}

n = 1024

The minimum sample size required to create the specified confidence interval is 1024.

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