pharmaceutical company

A pharmaceutical company tested two new flu vaccines intended to boost immunity. In order to test the effectiveness of this drug, a one year study was done were at the beggining of the year three groups of eight individuals were given either Flu Shot 1, Flu Shot 2, or a placebo (a shot with only saline and no vaccine). The number of sick days from work each individual took was carefully recorded over the following year. Both flu shots were found to be completely safe with no side effects, but differed in terms of effectiveness. The data below gives the number of sick days for the individuals in each of the three groups.
Perform a one-way ANOVA analysis, testing at the 0.05 level. Also, calculate the mean number of sick days for each group. Describe results. But equally important, also explain what you would do if you owned your own company. Would you pay for your employers to receive Flu Shot 1 or Flu Shot 2 in order to keep their number of sick days down? If so, which one would you choose? Would you choose either vaccine only if it was very cheap or would you be willing to invest a lot into the vaccine for your employees? Explain your reasoning. 
Group Sick days per year
Placebo 7 4 6 8 6 6 2 9
Flu Shot 1 5 3 3 5 4 7 3 3
Flu Shot 2 2 4 1 2 2 1 2 5
Case assignment expectations:
The following items will be assessed in particular:
Your ability to explain the limitations of the linear regression method.
Your ability to describe ANOVA and identify when the ANOVA method should be used.
Your ability to describe the correlation analysis and identify when the coefficient of correlation should be calculated.
Your ability to identify when the Least Squares method should be used.

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