On 10 occasions, Miss Chan had to wait 3, 4, 7, 10, 4, 12, 1, 9, 2, 15 minutes for the bus
to get to HKUST. Test the null hypothesis H0 : m = 5 against the alternative H1 : m > 5
at significance level 0.05 using
(a) The sign test,
(b) The normal approximation to the sign test
(c) The Wilcoxon sign rank test
(d) The normal approximation to the Wilcoxon sign rank test.
(e) t-test (Assuming the data is from normal distribution).
(f) Did you reach the same conclusions with the above five approaches? If not, explain.