According to the Associated Press (San Luis Obispo Telegram-Tribune, June 23, 1995), a study by Italian researchers indicated that low cholesterol and depression were linked. The researchers found that among 331 randomly selected patients hospitalized because they had attempted suicide, the mean cholesterol level was 198. The mean cholesterol level of 331 randomly selected patients admitted to the hospital for other reasons was 217. The sample standard deviations were not reported, but suppose that they were 20 for the group who had attempted suicide and 24 for the other group. Do these data provide sufficient evidence to conclude that the mean cholesterol level is lower for those who have attempted suicide? Test the relevant hypotheses using α = .05.