College Students and Drinking Habits: A public health official is studying differences in drinking habits among students at two different universities. They collect a random sample of students independently from each of the two universities and ask each student how many alcoholic drinks they consumed in the previous week. Sample Statistics Size (n) Mean (x?) Std. Dev. (s) Sample 1 40 6.9 2.3 Sample 2 49 5.7 1.9 The standard error resulting from these samples is 0.45 and df = 75. The official conducts a two-sample t-test to determine whether this sample provides significant evidence that students at University 1 drink more than students at University 2. The test statistic is t = 2.64 with a P-value 0.005. Which of the following is an appropriate conclusion? The samples do not provide statistically significant evidence. We cannot use the t-test in this case because the variables (number of drinks) are likely skewed to the right at each university. The samples provide significant evidence that students at University 1 drink more than students at University 2.
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005, which is less than the commonly used significance level of 0.05. This means that the difference in drinking habits between the two universities is statistically significant. Second, the test statistic is positive, which indicates that the mean number of Show more…
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