3. 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: Visits Patient 1 Nurse Practitioner Hours 0 3 0 3 7 0 2 0 3 051231--04 23456789 10 a. 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. b. 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. c. 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.

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3. 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:
Visits
Patient
1
Nurse Practitioner
Hours
0
3
0
3
7
0
2
0
3
051231--04
23456789
10
a. 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.
b. 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.
c. 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.
Transcribed Image Text:3. 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: Visits Patient 1 Nurse Practitioner Hours 0 3 0 3 7 0 2 0 3 051231--04 23456789 10 a. 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. b. 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. c. 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.
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