A survey collected data from a random sample of 121 people living in Jade city. The sample average of the distance people travel to reach their workplaces (Ȳ) is 20.35 km and the standard deviation (Y) is 7.96 km.
(a) The standard error of the sample average of the distance people travel to reach their workplaces is ____ km. (Round your answer to two decimal places.)
Let μ_Y denote the mean of the distance all the people in Jade city travel to reach their workplaces.
(b) The p-value of the test Upper H0: μ_Y = 22 km vs. Upper H1: μ_Y' = 22 Km is ____. (Round your answer to two decimal places.)
(c) The p-value suggests that at the 5% significance level, we ________(reject/ fail to reject) the hypothesis that the mean distance people travel to reach their workplaces in Jade city is 22 km.