Differences of Sample Standard Deviation & Population Standard Deviation Paper

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The number of vacation days taken by the employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. Is this a case of sample standard deviation or population standard deviation? What are some differences between sample standard deviation and population standard deviation? For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? What is the probability that the number of days of vacation taken is more than 21 days? Discuss the solutions and an explanation.

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Hello, please find the answer attached.

Running head: NORMAL DISTRIBUTION

Normal Distribution
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NORMAL DISTRIBUTION

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Normal Distribution

Given that
Mean (𝜇) = 14,
Standard deviation (𝜎) = 3
Let x be the vacation taken by an employee
This is a case of population standard deviation because the standard deviation is taken from the
total population of the company’s employees. Standard deviation measures the sprea...

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