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.