Question

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 for the American and Canadian distributions for weekly television, viewing times have the same standard deviations. The sampling variability (standard deviation of the sampling distribution) associated with the sample means (described above) is ________.

Answer 1

Larger for the sample of Canadians

Explanation:

The larger the sample size, the smaller the standard deviation (sampling variability) associated with the sample means and vice-versa.

The sample of Canadians is smaller, it is expected that their sampling variability is larger than the sample of Canadians based on the rule that as the sample size increases, the standard deviation of the means decreases; and as the sample size decreases, the standard deviation of the sample means increases