2. The average pre-school cost for tuition fees last year was P74,200. The following year, 20 institutions had a mean of P13,100 and a standard deviation of P2,250. Is there sufficient evidence at a = 0.10 level of significance to conclude that the mean cost has increased? Solution: Step 1: State the hypotheses. Ho: H;: Step 2: The level of significance and critical region. a = df = _ and teical = Step 3: Compute for the value of one sample t test. teomputed Step 4: Decision rule. Step 5: Conclusion.
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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