Let μ1,μ2,μ3 be, respectively, the means of three normal distributions with a common, but unknown, variance σ2. in order to test, at the α = 0.05 significance level, the hypothesis h0: μ1 = μ2 = μ3 against all possible alternative hypotheses, we take a random sample of size 4 from each of these distributions. determine whether we accept or reject h0 if the observed values from the three distributions are, respectively, as follows:
x1 : 5 9 6 8
x2 : 11 13 10 12
x3 : 10 6 9 9

"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: