MY NOTES PRACTICE ANOTHER The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.+ Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. The report also gave data for representative samples of 250 adults in Canada and 250 adults in England. The sample mean amount of sleep on a work night was 423 minutes for the Canada sample and 409 minutes for the England sample. Suppose that the sample standard deviations were 34 minutes for the Canada sample and 43 minutes for the England sample. USE SALT (a) Construct a 95% confidence interval estimate of the difference in the mean amount of sleep (in minutes) on a work night for adults in Canada and adults in England. (Use Canada - England. Use technology to calculate your critical value. Enter your answer using interval notation. Round your numerical values to three decimal places.) minutes Interpret the interval. There is a 95% chance that the sample difference in the mean amount of sleep on a work night for adults studied in Canada and adults studied in England falls within this interval. We are 95% confident that the true difference in the mean amount of sleep on a work night for adults in Canada and adults in England falls within this interval. There is a 95% chance that the true difference in the mean amount of sleep on a work night for adults in Canada and adults in England falls directly in the middle of this interval. We are 95% confident that the sample difference in the mean amount of sleep on a work night for the adults studied in Canada and adults studied in England falls within this interval. There is a 95% chance that the sample difference in the mean amount of sleep on a work night for adults studied in Canada and adults studied in England falls directly in the middle of this interval. (b) Based on the confidence interval from part (a), would you conclude that there is evidence of a difference in the mean amount of sleep on a work night for the two countries? Explain why or why not. The confidence interval allows us to conclude that there is evidence of a difference in the mean amount of sleep on a work night for the two countries because zero is not B contained in the confidence interval.