Question 1: Maintaining your balance may get harder as you grow older.A study was conducted to see how steady the elderly is on their feet.They had the subjects stand on a force platform and have them react to a noise.The force platform then measured how much they swayed forward and backward, and the data is in table #7.3.10 ("Maintaining balance while," 2013).Do the data show that the elderly sway more than the mean forward sway of younger people, which is 18.125 mm?Test at the 5% level. See table below:

Table #7.3.10: Forward/backward Sway (in mm) of Elderly Subjects

19 30 20 19 29 25 21 24 50

Question 2: Suppose you compute a confidence interval with a sample size of 100.What will happen to the confidence interval if the sample size decreases to 80?

Question 3: In 2013, Gallup conducted a poll and found a 95% confidence interval of the proportion of Americans who believe it is the government's responsibility for health care.Give the statistical interpretation.

Question 4: In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and developmental," 2008).Find the proportion of ASD in Arizona with a confidence level of 99%.

Question 5: The economic dynamism, which is the index of productive growth in dollars for countries that are designated by the World Bank as middle-income are in table #8.3.9 ("SOCR data 2008," 2013).Compute a 95% confidence interval for the mean economic dynamism of middle-income countries. See table below.

Table #8.3.9: Economic Dynamism ($) of Middle Income Countries

25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767

41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555

49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252

50.9866 59.1724 39.6282 33.6074 21.6643