The following is the amount of fat (in grams) consumed in a buffet-style lunch among professional bodybuilders under conditions of high, moderate, and low stress. Compute a one-way ANOVA, and report whether there are any significant differences in the amount of fat consumed in the 3 conditions of stress. File in the table below to get the F-ratio. Sources of Variation SS df MS F-Statistic Between groups 25.5 12.75 Error 12 4.40 Total 78.35 14 F-Statistic: Critical F-statistic: Decision:
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!
- The following is the amount of fat (in grams) consumed in a buffet-style lunch among professional bodybuilders under conditions of high, moderate, and low stress. Compute a one-way ANOVA, and report whether there are any significant differences in the amount of fat consumed in the 3 conditions of stress. File in the table below to get the F-ratio.
|
Sources of Variation |
SS |
df |
MS |
F-Statistic |
|
Between groups |
25.5 |
|
12.75 |
|
|
Error |
|
12 |
4.40 |
|
|
Total |
78.35 |
14 |
|
|
F-Statistic:
Critical F-statistic:
Decision:
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