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In: Statistics and Probability

The General Social Survey polled a sample of 209 people aged 18-30 in the year 2000,...

  1. The General Social Survey polled a sample of 209 people aged 18-30 in the year 2000, asking them how many hours per week they spend on the internet. The sample mean was 6.75 with a standard deviation of 7.7 A second sample of 541 people aged 18-30 was taken in 2006. For this sample, the mean was 7.34 and standard deviation of 10.93. Assume these are simple random samples from populations of people aged 18-30. Can you conclude that the mean number of hours per week spent on the internet increased between 2000 and 2006?
  1. Do the hypothesis test with α=0.05 significance level.
  1. Construct a 95% confidence interval for the difference in mean number of hours spend per week on the Internet between 2000 and 2006.
  1. Calculate the Margin of Error for 95% confidence level.

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