A physician has collected data on the number of days for 10 of its patients to show symptoms of a rare respiratory disease after being in the vicinity of a newly developed chemical reagent: 9,14,15,18,19,20,21,22,23,28

a) What are the point estimates for the population mean and standard deviation of the number of days until patients show symptoms?

b) Construct a 95% confidence interval of the population mean.

c) If the physician wants to know how large the sample is needed to estimate the population proportion of his patients who need hospitalization as a result of their symptoms and if ME = 0.06 and alpha = 0.1 what should he do? find the desired sample size. ( hint: what is the worst-case scenario for the population proportion?)