College Students and Drinking Habits: A public health official is studying diffe
ID: 3307138 • Letter: C
Question
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:
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.
size(n) Mean (X) SD(s) sample1 40 6.9 2.3 sample 2 49 5.7 1.9Explanation / Answer
In this case, the correct answer is A) The samples provide significant evidence that students at University 1 dring more than students at university 2 with the P value of 0.005
Other two options are not correct because
B ) It is evident that P value of difference is less than 0.05, therefore this statement is incorrect
C) We can use the t-test because it is not likely that skewed to the right at each university as the standard deviation is less than half of the mean values of alcohol consumption in each of university, and the sample size is more than 30, therefore assumption for using the t-test is not violated.