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Describe the difference between descriptive statistics and inferential statistics. Use an example to support your answer. Suppose you have a dataset with information on restaurants

  1. Describe the difference between descriptive statistics and inferential statistics. Use an example to support your answer.

  1. Suppose you have a dataset with information on restaurants in Washington DC. For each variable listed, determine if the variable is numerical or categorical. If it is numerical determine if it is discrete or continuous. If it is categorical determine if it is nominal or ordinal.
    1. Number of employees
    2. Square footage
    3. The age of the owner
    4. The race/ethnicity of the owner
    5. Whether the restaurant is open 7-days a week
    6. Number of tables
    7. Distance to closest parking garage
    8. A variable ranking the restaurant's food as good, mediocre, or poor

  1. Consider the following imaginary random sample of data:

Restaurant Number of Employees
A 43
B 45
C 47
D 55
E 35

Calculate the following descriptive (sample) statistics by hand (be sure to show your work):

  1. Mean
  2. Variance
  3. Standard deviation
  4. Median
  5. Mode
  6. Proportion of restaurants with more than 40 employees

  1. Based on your calculations above, is the number of employees variable skewed? If yes, in which direction? How you do you know?

  1. Calculate standardized values for the number of employees in each restaurant. Interpret the standardized value for restaurant E.

  1. Draw a histogram for the number of employees in each restaurant using intervals of 10 employees. Use a range of 0 to 60.

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