Question

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$2$

$5$

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Instructions: Write your answers in a clear and concise manner and justify your interpretation. You are allowed to use any

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$$environment to write and test the provided

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$$code$.$

$2$

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$1$

$$Consider the following

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$$commands and output:

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$0$

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$$mean

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$0$

$0$

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$$

$=$

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$5$

$=$

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$1$

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$2$

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$2$

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$1$

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$1$

$$Describe what the first line of code does in this code snippet.

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$2$

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$1$

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$2$

$$What is the purpose of

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$1$

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$2$

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$?$

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$1$

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$2$

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$1$

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$3$

$$After executing the code, two plots are created. Describe what each plot visually repre

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sents in terms of the distribution of

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$2$

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$1$

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$4$

$$Given that the standard deviation of

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$$is approximately

$4$

$.$

$6$

$5$

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$$what does this suggest

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$2$

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about the spread of the values around the mean?

$2$

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$2$

$$Consider the output of the following statistical test applied to

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$($

from the previous question

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:

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$9$

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One Sample

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$-$

test

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$9$

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$7$

$7$

$7$

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$$

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$9$

$9$

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value

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$2$

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$-$

$1$

$6$

$$alternative hypothesis: true mean

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$$not equal

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$$

$9$

$0$

$9$

$5$

$$percent confidence interval:

$9$

$8$

$.$

$2$

$6$

$8$

$5$

$9$

$1$

$0$

$0$

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$1$

$1$

$2$

$8$

$1$

$$

$$sample estimates: