Problem #6 (Kozak Problem 7.3.8) 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. Table #7.3.10: Forward/backward Sway (in mm) of Elderly Subjects 19 30 20 19 29 25 21 24 50 i. Which of the following statements correctly defines the null hypothesis Ho ? A. p > 18.125 mm C. p = 18.125 mm B. u = 18.125 mm D. H > 18.125 mm ii. Which of the following statements correctly defines the alternate hypothesis HA ? A. p > 18.125 mm C. p = 18.125 mm B. H = 18.125 mm D. M > 18.125 mm iii. What is the level of significance a used for this test (expressed as decimal) ? iv. Determine sample statistic x (to nearest 0.001) V. Determine standard deviation of the sample mean (to nearest 0.001) vi. Determine degrees of freedom (of) vii. Calculate test statistic (to nearest 0.0001) with appropriate sign viii. Using MS Excel, calculator, or LEO classroom Content > Course Resources > Free Web Applets & Statistical Resources: Determine p-value (to nearest 0.001) corresponding to test statistic. ix. Comparing p-value and a value, which is the correct decision to make for this hypothesis test? A. Reject Ho C. Accept Ho B. Fail to reject Ho D. Accept HA