A study of the relationship between age and various visual functions (such as acuity and depth perception) reported the following observations on the area of scleral lamina (mm2) from human optic nerve heads: 2.79 2.66 2.80 3.92 2.28 2.81 4.02 4.16 3.95 4.26 3.51 4.61 2.37 3.66 2.72 3.64 2.96 (a) Calculate Σxi and Σxi2. (Round Σxi2 to two decimal places.) Σxi = mm2 Σxi2 = mm4 (b) Use the values calculated in part (a) to compute the sample variance s2 and then the sample standard deviation s. (Round your answers to three decimal places.) s2 = mm4 s = mm2
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!
A study of the relationship between age and various visual
| 2.79 | 2.66 | 2.80 | 3.92 | 2.28 | 2.81 | 4.02 | 4.16 | 3.95 |
| 4.26 | 3.51 | 4.61 | 2.37 | 3.66 | 2.72 | 3.64 | 2.96 |
| Σxi | = mm2 |
| Σxi2 | = mm4 |
(b) Use the values calculated in part (a) to compute the sample variance s2 and then the sample standard deviation s. (Round your answers to three decimal places.)
| s2 | = mm4 |
| s | = mm2 |
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