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kenny6666 [7]
3 years ago
5

Help homies help like now

Mathematics
2 answers:
GrogVix [38]3 years ago
8 0

Answer: I am really not sure...

Step-by-step explanation:..

denis-greek [22]3 years ago
3 0
I think it’s 8
Because half
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Step-by-step explanation:

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3 years ago
A professor wants to estimate the average time it takes his students to finish a computer project. Based on previous evidence, h
vova2212 [387]

Answer:

A sample size of 3 is required.

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 - 0.96}{2} = 0.02

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

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Now, find the margin of error M as such

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Based on previous evidence, he believes that the standard deviation is approximately 3.6 hours.

This means that \sigma = 3.6

He would like to be 96% confident that his estimate is within 5 hours of the true population mean. Use RStudio to determine how large of a sample size is required without rounding any interim calculations.

The sample size needed is of n, and n is found when M = 5. So

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

5 = 2.054\frac{3.6}{\sqrt{n}}

5\sqrt{n} = 2.054*3.6

\sqrt{n} = \frac{2.054*3.6}{5}

(\sqrt{n})^2 = (\frac{2.054*3.6}{5})^2

n = 2.19

Rounding up:

A sample size of 3 is required.

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