Q1 Sampling Methods Health Care Modern Managed Hospitals MMH
Q.1 Sampling Methods: Health Care Modern Managed Hospitals (MMH) is a
national for-profi t chain of hospitals. Management wants to survey patients discharged
this past year to obtain patient satisfaction profi les. They wish to use a
sample of such patients. Several sampling techniques are described below.
Categorize each technique as simple random sample, stratifi ed sample, systematic
sample, cluster sample, or convenience sample.
(a) Obtain a list of patients discharged from all MMH facilities. Divide the
patients according to length of hospital stay (2 days or less, 3–7 days, 8–14
days, more than 14 days). Draw simple random samples from each group.
(b) Obtain lists of patients discharged from all MMH facilities. Number these
patients, and then use a random-number table to obtain the sample.
(c) Randomly select some MMH facilities from each of fi ve geographic regions,
and then include all the patients on the discharge lists of the selected hospitals.
(d) At the beginning of the year, instruct each MMH facility to survey every
500th patient discharged.
(e) Instruct each MMH facility to survey 10 discharged patients this week and
send in the results
Q.2
Statistical Literacy Consider a completely randomized experiment in which a
control group is given a placebo for congestion relief and a treatment group is
given a new drug for congestion relief. Describe a double-blind procedure for
this experiment and discuss some benefi ts of such a procedure.
Q.3
General: Gathering Data Which technique for gathering data (sampling,
experiment, simulation, or census) do you think was used in the following
studies?
(a) An analysis of a sample of 31,000 patients from New York hospitals suggests
that the poor and the elderly sue for malpractice at one-fi fth the rate of
wealthier patients (Journal of the American Medical Association).
(b) The effects of wind shear on airplanes during both landing and takeoff were
studied by using complex computer programs that mimic actual fl ight.
(c) A study of all league football scores attained through touchdowns and
fi eld goals was conducted by the National Football League to determine
whether fi eld goals account for more scoring events than touchdowns
(USA Today).
(d) An Australian study included 588 men and women who already had some
precancerous skin lesions. Half got a skin cream containing a sunscreen with
a sun protection factor of 17; half got an inactive cream. After 7 months,
those using the sunscreen with the sun protection had fewer new precancerous
skin lesions (New England Journal of Medicine).
Solution
Q-1
a)is a stratified sample (the strata are the length of stays and then a simpe random sample is taken from each strata)
b)It is is a simple random sample
c) It is a cluster sample (the clusters are the geographic region and all observations in each randomly selected cluster are selected)
d)It is a systematic sample (every 500th is selected)
e)It is a convenience sample (no obvious randomization is put into selecting the sample)

