Birna intends to investigate with an appropriate hypothesis test whether there is a difference in the average height of male and female antelopes. The height of antelopes has been extensively studied and it can be assumed that it follows a normal distribution with a known distribution in both populations. The test size it uses follows the normal distribution if the null hypothesis is true. The value of the exam size she calculated is -1.75. What is the p-value? 1. 0.04. 2. 0.08. 3. 0.96 4. 0.02.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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