A study done by Jung et al. (2014) looked at hurricane names and the perceived threat. The researchers thought that hurricanes in the United States with male names would differ in perceived danger from hurricanes with female names. In one part of the research 346 subjects were shown five male names (Arthur, Cristobal, Omar, Kyle, Marco) and five female names (Bertha, Dolly, Fay, Laura, Hanna) from the official 2014 Atlantic Hurricane names and were asked to predict each hurricane’s intensity (1 = not intense at all, 7 = very intense). The data are available in the file Hurricane. Is there a difference in how people would rate the intensity of the same hurricanes based on a male or female name? 

a. Put the data into the Matched Pairs applet. Which condition had a larger mean intensity rating? 

b. State the hypotheses either in words or using appropriate symbols. 

c. Calculate the t-statistic for the mean difference. Based on the t-statistic, is there strong evidence that there is a difference, on average, in the intensity ratings between male- and female-named hurricanes? Explain how you are deciding. 

d. Determine a theory-based p-value. Based on the p-value, is there strong evidence that there is a difference, on average, in the intensity ratings between male- and female-named hurricanes? Explain how you are deciding.