a. Identify the population under consideration. b. Identify the variable under consideration. c. Is the mean tax reported by the GRA a sample mean or the population mean?

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2. The Ghana Revenue Authority (GRA) publishes annual figures on individual income tax returns in
Statistics of Income, Individual Income Tax Returns. For the year 2009, the GRA reported that
the mean tax of individual income tax returns was GH¢ 10,319. In actuality, the GRA reported
the mean tax of a sample of 292,966 individual income tax returns from a total of more than 130
million such returns.
a. Identify the population under consideration.
b. Identify the variable under consideration.
c. Is the mean tax reported by the GRA a sample mean or the population mean?
d. Should we expect the mean tax x, of the 292,966 returns sampled by the GRA to be exactly the
same as the mean tax, µ, of all individual income tax returns for 2009?
e. How can we answer questions about sampling error? For instance, is the sample mean tax
x reported by the GRA likely to be within GH 100 of the population mean tax, µ?
Transcribed Image Text:2. The Ghana Revenue Authority (GRA) publishes annual figures on individual income tax returns in Statistics of Income, Individual Income Tax Returns. For the year 2009, the GRA reported that the mean tax of individual income tax returns was GH¢ 10,319. In actuality, the GRA reported the mean tax of a sample of 292,966 individual income tax returns from a total of more than 130 million such returns. a. Identify the population under consideration. b. Identify the variable under consideration. c. Is the mean tax reported by the GRA a sample mean or the population mean? d. Should we expect the mean tax x, of the 292,966 returns sampled by the GRA to be exactly the same as the mean tax, µ, of all individual income tax returns for 2009? e. How can we answer questions about sampling error? For instance, is the sample mean tax x reported by the GRA likely to be within GH 100 of the population mean tax, µ?
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