It is desired to estimate the total Y of nurse practitioner hours spent in direc
ID: 3174734 • Letter: I
Question
It is desired to estimate the total Y of nurse practitioner hours spent in direct patient care in a large HMO during a given year. This is to be done by taking a simple random sample of patients and determining, for each visit during the year, the number of nurse practitioner hours spent during the visit. It is known that there are 3524 members of the HMO and that 8950 visits took place during that year. A small pilot sample of 10 patients yielded the following data: Based on these pilot data, would you recommend a customary estimate or a ratio estimator as the estimation method for the sample survey? Document the reasons for your recommendation. Based on this data, how many patients would have to be sampled to estimate the total of nurse practitioner hours with a coefficient of variation not exceeding 10% using the customary estimator? Based on this data, how many patients would have to be sampled to estimate the total of nurse practitioner hours to with a coefficient of variation not exceeding 10% using the ratio estimator?Explanation / Answer
(a) Customary estimate will be used as estimation method for the sample survey. Here the variable of interest is the sum of number of nurse practise hours spend during each visit for every patient.
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