Q2. A consumer survey was conducted to determine the amount of money spent on food per month in relation to the total income per year per households in a small community. A simple random sample of 5 households was selected from 120 households in the 1 community. The average total income of all the households in the community was found to be 23,000 RO. Sample data was given in the following table. Total Income, x 30000 40000 25000 10000 50000 Amount spent on food, y 500 700 450 200 900 (a) regression or difference) will be the most suitable method? Without calculation of standard error, explain, which method of estimation (ratio, (b) method identified in part (a) and place a bound on the error of estimation. Interpret the results. Estimate the mean amount of money spent for food using the most suitable Obtain the relative efficiency of your estimator obtained in part (b) in relation to (c) the simple random sample mean ỹ. Interpret the result.

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Q2. A consumer survey was conducted to determine the amount of money spent on food per
month in relation to the total income per year per households in a small community. A
simple random sample of 5 households was selected from 120 households in the
1
community. The average total income of all the households in the community was found to
be 23,000 RO. Sample data was given in the following table.
Total Income, x
30000
40000
25000
10000
50000
Amount spent on food, y
500
700
450
200
900
(а)
regression or difference) will be the most suitable method?
Without calculation of standard error, explain, which method of estimation (ratio,
(b)
method identified in part (a) and place a bound on the error of estimation. Interpret the
results.
Estimate the mean amount of money spent for food using the most suitable
Obtain the relative efficiency of your estimator obtained in part (b) in relation to
(c)
the simple random sample mean ỹ. Interpret the result.
Transcribed Image Text:Q2. A consumer survey was conducted to determine the amount of money spent on food per month in relation to the total income per year per households in a small community. A simple random sample of 5 households was selected from 120 households in the 1 community. The average total income of all the households in the community was found to be 23,000 RO. Sample data was given in the following table. Total Income, x 30000 40000 25000 10000 50000 Amount spent on food, y 500 700 450 200 900 (а) regression or difference) will be the most suitable method? Without calculation of standard error, explain, which method of estimation (ratio, (b) method identified in part (a) and place a bound on the error of estimation. Interpret the results. Estimate the mean amount of money spent for food using the most suitable Obtain the relative efficiency of your estimator obtained in part (b) in relation to (c) the simple random sample mean ỹ. Interpret the result.
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