Wait staff at restaurants have employed various strategies to increase tips. An article in the Sept. 5, 2005 The New Yorker reported that “In one study a waitress received 50% more in tips when she introduced herself by name than when she didn’t.” Consider the following (fictitious) data on tip amount as a percentage of the bill:

Introduction: m
50 x
22.63 s1
7.82 No introduction: n
50 y
14.15 s2
6.10 Does this data suggest that an introduction increases tips on average by more than 50%. State and test the relevant hypotheses. [Hint: Consider the parameter = 1  1.52.]