Question

1 Video AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulletin, April 2008). The data contained in the Microsoft Excel Online file below are consistent with the study results. These data provide the time in hours required for a sample of 40 individuals to complete their federal income tax returns. Assume that the population standard deviation is known to be o = 13 hours. X Open spreadsheet What is the 95% confidence interval estimate of the mean time it takes an individual to complete a federal income tax return (1 decimal)? 29.5 to 44.5 hours Check My Work Reset Problem

Answer 1

Sample mean : Sample size : Population s.d : Level of significance: X = n= o = a = 33.495 given 40 given 13 given 0.05 given 95% confidence level 1.960 From z table (two tailed) critical value: = Margin of error: E=-*x = 4.0287 Lower bound : X-E = 29.46633 Upper bound : 1 +E= 37.5237 The confidence interval i: 29.5 to 37.5