The personal director of an engineering company believes that there is a significant positive correlation between the distance (in miles) an employee travels to work, x, and the number of minutes per month the employee is late, y. The sample data from a random sampling of 10 employees is shown in the table below. Is the personal director correct? Use a = 5%. x7 7 18 22 25 28 36 4344 53 y 4 4 3 30395911 (a) State the hypotheses: Họ: The Select an answer v of miles traveled to work and minutes late per month Select an answer Symbols: O p0 EO H1- 420 H0 O HOPO µz-2 Ha: The Select an answer of miles traveled to work and minutes late per month Select an answer Symbols: O p Hz, -2,0 µz0 pO HpO FO H1 - 42 ? (b) State the decision rule: Select an answer v at a = % if the p-value of the Select an answer v is %3D Select an answer (c) Experiment: Symbol of the sample statistic: Or Op OP
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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