Sixteen People Volunteered to Be Part of an Experiment

Multiple Choice

Sixteen people volunteered to be part of an experiment.All 16 people were Caucasian,between the ages of 25 and 35,and supplied with nice clothes.Eight of the people were men and eight were women.The question of interest in this experiment was whether females received faster service at restaurants than males.Each of the eight male participants was randomly assigned a restaurant,and each of the eight female were randomly assigned to one of these same eight restaurants.One Friday night,all 16 people went out to eat,each one alone.The men and women assigned to the same restaurant arrived within 5 min of each other,with the order determined by flipping a coin (man first or woman first) .Each person then ordered a similar drink and a similar meal.The times (in minutes) until the food arrived at the table was recorded.They are shown below. The hypotheses being tested are H₀:  = 0 versus H_a:  > 0,where  represents the mean of the differences in service time (men - women) .Assume that the differences are Normally distributed.What can you say about the value of the P-value?

A) P-value < 0.025
B) 0.025 < P-value < 0.05
C) 0.05 < P-value < 0.10
D) P-value > 0.10