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) sd(s)
sample1 40 6.9 2.3
sample 2 49 5.7 1.9
the official conducts a two -sample t-test to determine whether these data provide significant evidence that students at university 1 drink more than students at university 2. the test statistics is t=2.64 with a p-value 0.005. which of the following is an appropriate conclusion?
a) the samples provide significant evidence that students at university 1 drink more than students at university 2.
b) the samples do not provide statistically significant evidence. c) we ca not use the t-test in this case because the variables (number of drinks) are likely skewed to the right at each university.