Using the infection rate data above, what is the average percentage of infections?

Construct $($and submit$)$ a Run Chart of the infection rate data. What conclusions do you reach? What questions does it raise for you?

Calculate the UCL and LCL for the infection rate data set.

Construct and submit a Control Chart for the infection rate data set. Is the process stable $($common cause variation$)?$ Explain.

What actions, if any, should management take? Consider only the data, run chart, and control chart.

Explain what factors you would consider in selecting an appropriate threshold and why you would consider those factors.

Suppose you are told a recent survey disclosed that of $30$ million surgical procedures performed in the U$.$S$.$ last year, nearly $500,000(1\mathrm{.}7\%)$ resulted in infections. What threshold would you recommend Sandy Creek establish? What actions, if any should management take?

Suppose you are told that the same survey disclosed a wide variation in infection rates. Some hospitals reported average $($mean$)$ surgical infection rates as high as $8\%$ while many others consistently reported average $($mean$)$ rates as low as $0\mathrm{.}4\%.$ What threshold would you recommend Sandy Creek establish? What actions, if any, should management take?