А.В. 16 C.D. 30 E.F. 17 G.H. 31 I.J. 27 K.L. 25 For all questions below, assume a normal distribution. A. For the group above, calculate the mean, standard deviation, and standard error of the mean of conscientiousness. B. The general population has u = 21.68 & o = 4.8 for conscientiousness. Compared to these overall population values, what is the probability of getting a sample mean (n-6) greater than the value you obtained in part A? C. Given the values you obtained in Part A and Part B, is the level of conscientiousness in this group of 6 candidates typical of the general population? Explain your answer. D. In order for the company to calculate possible starting salaries, the Finance Department transforms the Conscientiousness scores from the Big Five Questionnaire population distribution into a distribution with u = 60000 and o = 5000. Calculate the starting salary for the top 2 scoring candidates.
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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