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A simple random sample of 1000 American adults found that the average number of hours spent
watching television during a typical week was 13.8. A simple random sample of 500 Canadians
yielded an average of 12.5 hours per week of television viewing. Assume that the American and
Canadian distributions for weekly television, viewing times have the same standard deviations.
The sampling variability associated with the sample means (described above) is
A.) smaller for the sample of Canadians, since the population of Canada is less than half that of
the United States.
B.) larger for the sample of Canadians because the sample size is smaller.
C.) smaller for the sample of Canadians, because their population is smaller.
D.) larger for the sample of Canadians, since Canadian citizens are more widely dispersed
throughout their country than American citizens are in the United States. Hence, Canadians have
more variable views.
Solution
b. remember that sample standard deviation is given by sigma/sqrt(n)

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A simple random sample of 1000 American adults found that the averag.pdf

  • 1. A simple random sample of 1000 American adults found that the average number of hours spent watching television during a typical week was 13.8. A simple random sample of 500 Canadians yielded an average of 12.5 hours per week of television viewing. Assume that the American and Canadian distributions for weekly television, viewing times have the same standard deviations. The sampling variability associated with the sample means (described above) is A.) smaller for the sample of Canadians, since the population of Canada is less than half that of the United States. B.) larger for the sample of Canadians because the sample size is smaller. C.) smaller for the sample of Canadians, because their population is smaller. D.) larger for the sample of Canadians, since Canadian citizens are more widely dispersed throughout their country than American citizens are in the United States. Hence, Canadians have more variable views. Solution b. remember that sample standard deviation is given by sigma/sqrt(n)