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In a sample of 50 households, the mean number of hours spent on social networking sites during the month of January was 45 hours. In a much larger study, the standard deviation was determined to be 8 hours. Assume the population standard deviation is the same. What is the 95% confidence interval for the mean hours devoted to social networking in January?
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- The 95% confidence interval ranges from 8 to 45 hours.
- The 95% confidence interval ranges from 40.13 to 45.78 hours.
- The 95% confidence interval ranges from 43.87 to 46.13 hours.
- The 95% confidence interval ranges from 42.78 to 47.22 hours.
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Two studies were completed in Georgia. One study in northern Georgia involved 3,000 patients; 84% of them experienced flulike symptoms during the month of December. The other study, in southern Georgia, involved 2,000 patients; 75% of them experienced flulike symptoms during the same month. Which study has the smallest margin of error for a 99% confidence interval?
- The northern Georgia study with a margin of error of 2.5%.
- The southern Georgia study with a margin of error of 2.5%.
- The northern Georgia study with a margin of error of 1.7%.
- The southern Georgia study with a margin of error of 1.7%.