Wait staff at restaurants have employed various strategies to increase tips. An article in the Sept. 5, 2005, 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:

Does this data suggest that an introduction increases tips on average by more than 50%? State and test the relevant hypotheses.

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Introduction: m = 50 x = 22.63 s」= 7.82 No introduction: n- 50 y-14.15 2 6.10