Question

The Budget Department has asked the city council for an increase in staff from 6 to 7 employees. The city council is trying to decide if this increase is appropriate. It decides to examine data regarding the staff size of Budget Departments in similar cities. These data are presented below. Should the city council grant the Department’s request for the increase to 7 employees? (Use any method of analysis that you find helpful and explain your answer in a few sentences.)

Size of Budget Department Staff	Number of Cities
5 employees	4
6 employees	9
7 employees	14
8 employees	12
9 employees	8
10 employees	3

Answer 1

As per Provided data of staff size of budget department in similar cities, here we need to check that staff size data of similar cities is normally distributed across all cities, which decide if there is need to add 7 more employees.

The best way to check whether size of staff are normally distributed over cities we plot the graph of staff size vs No.of cities.

Please refer the below plot.

Conclusion:

Since Scatter plot shows that current staff size of employees is normally distributed over the cities. So it shows that Staff of 7 and 8 employees is there in maximum no. of cities.

Hence City council may reject the department's request to increase the staff by 6 to 7 employees, since we can see that current staff is sufficient in budget department