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As part of a marketing program, a city block containing 4 selected and a sample of 3 households was sampled as follows. Jeremiah the research assistant, identified the households and numbered each household from 1 to 4. He then want to list all combinations of the households 2 at a time. These are: 1 and 2 1 and 3 1 and 4 2 and 3 2 and 4 3 and 4 Unfortunately, Jeremiah got this job because he was related to the Department Chairman, and he was very careless. He forgot the combina- tion 3 and 4. He chose a random number between 1 and 5 (it turned out to be 4) which corresponded to the combination 2 and 3. Thus households 2 and 3 were sampled. The variable of interest was out-of-pocket medica expenses incurred by the household (Table Q1 (d)). Table Q1 (d) : Out-Of-Pocket Medical Expenses Incurred by the Household Expenses ($) 345.00 Household 1 126.00 3 492.00 4 962.00 Based on Jeremiah's sampling procedure, what is the expected (ii) value of mean and variance of the estimated mean out-of-pocke medical expenses? (iii) Calculate the value of bias and mean square error (MSE).

As part of a marketing program, a city block containing 4 selected and a sample of 3 households was sampled as follows. Jeremiah the research assistant, identified the households and numbered each household from 1 to 4. He then want to list all combinations of the households 2 at a time. These are: 1 and 2 1 and 3 1 and 4 2 and 3 2 and 4 3 and 4 Unfortunately, Jeremiah got this job because he was related to the Department Chairman, and he was very careless. He forgot the combina- tion 3 and 4. He chose a random number between 1 and 5 (it turned out to be 4) which corresponded to the combination 2 and 3. Thus households 2 and 3 were sampled. The variable of interest was out-of-pocket medica expenses incurred by the household (Table Q1 (d)). Table Q1 (d) : Out-Of-Pocket Medical Expenses Incurred by the Household Expenses ($) 345.00 Household 1 126.00 3 492.00 4 962.00 Based on Jeremiah's sampling procedure, what is the expected (ii) value of mean and variance of the estimated mean out-of-pocke medical expenses? (iii) Calculate the value of bias and mean square error (MSE).

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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(d) As part of a marketing program, a city block containing 4 households was selected and a sample of 3 households was sampled as follows. Jeremiah, the research assistant, identified the households and numbered each household from 1 to 4. He then want to list all combinations of the 4 households 2 at a time. These are: 1 and 2 1 and 3 1 and 4 2 and 3 2 and 4 3 and 4 Unfortunately, Jeremiah got this job because he was related to the Department Chairman, and he was very careless. He forgot the combina- tion 3 and 4. He chose a random number between 1 and 5 (it turned out to be 4) which corresponded to the combination 2 and 3. Thus households 2 and 3 were sampled. The variable of interest was out-of-pocket medical expenses incurred by the household (Table Q1 (d)). Table Q1 (d) : Out-Of-Pocket Medical Expenses Incurred by the Household Expenses ($) 345.00 Household 1 126.00 492.00 962.00 3 4 (ii) Based on Jeremiah's sampling procedure, what is the expected value of mean and variance of the estimated mean out-of-pocket medical expenses? (iii) Calculate the value of bias and mean square error (MSE). (iv) Is the estimate derived from this sampling procedure unbias?
Transcribed Image Text:(d) As part of a marketing program, a city block containing 4 households was selected and a sample of 3 households was sampled as follows. Jeremiah, the research assistant, identified the households and numbered each household from 1 to 4. He then want to list all combinations of the 4 households 2 at a time. These are: 1 and 2 1 and 3 1 and 4 2 and 3 2 and 4 3 and 4 Unfortunately, Jeremiah got this job because he was related to the Department Chairman, and he was very careless. He forgot the combina- tion 3 and 4. He chose a random number between 1 and 5 (it turned out to be 4) which corresponded to the combination 2 and 3. Thus households 2 and 3 were sampled. The variable of interest was out-of-pocket medical expenses incurred by the household (Table Q1 (d)). Table Q1 (d) : Out-Of-Pocket Medical Expenses Incurred by the Household Expenses ($) 345.00 Household 1 126.00 492.00 962.00 3 4 (ii) Based on Jeremiah's sampling procedure, what is the expected value of mean and variance of the estimated mean out-of-pocket medical expenses? (iii) Calculate the value of bias and mean square error (MSE). (iv) Is the estimate derived from this sampling procedure unbias?
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