From 1980 until 1985, the mean price/earnings (P/E) ratio of the approximately 1,800 stocks listed on the New York Stock Exchange was 14.35 and the standard deviation was 9.73. In a sample of 30 randomly chosen NYSE stocks, the mean P/E ratio in 1986 was 11.77. Does this sample present sufficient evidence to conclude (at the 0.05 level of significance) that in 1986,the mean P/E ratio for NYSE stocks had changed from its earlier value?
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