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Vacation Days the Distribution of the Number of Vacation Days

question 72

Essay

Vacation days The distribution of the number of vacation days per year offered by different U.S. companies is skewed to the right.
a. We collect data on the number of vacation days from a random sample of 60 companies across the United States. Why is it okay to use these data for inference even though the population is skewed?
b. The mean and standard deviation of the 60 companies in our sample were 22 days and 9 days, respectively. Specify the sampling model (shape, center, spread) for the mean
number of vacation days of such samples.
c. Find a 95% confidence interval for the mean number of vacation days offered by U.S.
companies.
d. Explain what "95% confidence" means in this context.

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Definitions:

Standard Deviation

A statistical metric that quantifies the spread or dispersion of a dataset relative to its mean, showcasing variability.

Annual Snowfall

The total amount of snow that falls within a specific geographic area over the course of a year.

Mean

The average of a data set, found by adding all the numbers together and dividing by the quantity of numbers.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, indicating how much the individual values differ from the mean of the values.

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