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.

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step-by-step explanation:

sin(7pi/6 - pi/3)  

= sin(7pi/6 - 2pi/6)  

= sin(5pi/6)  

= sin(pi - pi/6)  

= sin(pi/6)  

= 1/2  

sin 7pi/6 - sin pi/3  

= sin (pi + pi/6) - sin pi/3  

= -sin pi/6 - sin pi/3  

= -1/2 - sqrt(3)/2  

= -(1+sqrt(3))2

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: