A study by Junget al. (2014) looked at hurricane names and their perceived threat. They thought that if hurricanes in the U.S. had male names they would be perceived as more dangerous. In one part of the research the subjects were given a weather map showing a hurricane moving toward the area where they lived. Half the 142 subjects saw the map with the hurricane named Christina and half the subjects saw the map with the hurricane named Christopher. They were then asked to rate how likely they would evacuate, with 1 being definitely evacuate immediately and 7 being definitely not evacuate. Is there a significant difference in the average ratings for how likely they would evacuate between the hurricane named Christina and the one named Christopher? Put the dataset HurricaneChris in the Multiple Means applet to answer (a)–(e). 

a. State the hypotheses to test this either in words or using appropriate symbols. 

b. Explain if the validity conditions for a theory-based test are met. 

c. What are the mean ratings for the two names of the hurricanes? 

d. What are the values of the t-statistic and corresponding p-value? 

e. State your conclusion in the context of the research question.