Problem $10-26($Algo$)$

You are the newly appointed assistant administrator at a local hospital, and your first project is to investigate the quality of the patient

meals put out by the food$-$service department. You conducted a $10-$day survey by submitting a simple questionnaire to the $400$

patients with each meal, asking that they simply check off that the meal was either satisfactory or unsatisfactory. For simplicity in this

problem, assume that the response was $1,000$ returned questionnaires from the $1,200$ meals each day. The results are as follows:

a$.$ Determine the $\frac{?}{\text{b}\text{a}\text{r}}(p),S_p,$ UCL and LCL based on the questionnaire results, using a confidence interval of $95\mathrm{.}5$ percent, which is two

standard deviations

Note: Round your answers to $4$ decimal places.

Answer is complete but not entirely correct.

b$.$ What comments can you make about the process?

The process is out of statistical control.

The process is in statistical control.