Understanding Normal Distributions and Probability Concepts

Question 1 0.62 / 0.62 pts Which of the following are least likely to be the primary means of investigating normality in a distribution X? a. Graphically display your data in a histogram and use the eyeball test to see if there is any asymmetry or skew b. Observe a computerized output for the Q-Q plot of the distribution c. Calculate the observed and expected z-score values and determine any major deviations d. Start with a normal approximation, as most continuous variables are normal Question 2 0.67 / 0.67 pts Which of the following best describes the meaning behind the area under the probability density function’s smooth curve? a. The range of possible outcomes b. The standard deviation of the distribution c. The probability associated with the specified range of outcomes d. The shape and spread of the distribution

Question 3 0.67 / 0.67 pts Changing the μ of a distribution does what to the probability density function? a. Shifts the distribution on the horizontal axis b. Shifts the distribution on the vertical axis c. Determines the spread of the distribution d. None of the above Question 4 0.67 / 0.67 pts Ideas about _________are founded on relative frequencies (proportions) in populations. a. Probability b. Events c. Populations d. Random Variable Question 5

0.67 / 0.67 pts The sample proportion approaches the true probability of selection as ____ increases. a. Alpha b. Beta c. N d. noise Question 6 0.67 / 0.67 pts Two types of random variables are a. Random & non random. b. Complex & deterministic c. Discrete and continuous. d. Fixed and repeated. Question 7 0.67 / 0.67 pts _________ random variables: a countable set of possible outcome (e.g., the number of cases in an SRS from the population)

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a. Discrete b. Continuous c. Complex d. Prospective Question 8 0.67 / 0.67 pts _________ random variable: an unbroken continuum of possible outcome (e.g., the average weight of an SRS of newborns selected from the population (Xeno’s paradox) a. Discrete b. Continuous c. Complex d. Prospective Question 9 0.67 / 0.67 pts Probabilities are always between 0 and __ a. Infinity

b. 1.0 c. Sqrt(n) d. 100 Question 10 0.67 / 0.67 pts __% of the AUC falls within ±1σ of μ a. 95% b. 68% c. 99.7% d. 99.9% Question 11 0.67 / 0.67 pts __% of the AUC falls within ±2σ of μ a. 95% b. 68%

c. 99.7% d. 99.9% Question 12 0.67 / 0.67 pts __% of the AUC falls within ±3σ of μ a. 95% b. 68% c. 99.7% d. 99.9% Question 13 0.67 / 0.67 pts Wechsler adult intelligence scores are Normally distributed with μ = 100 and σ = 15; X ~ N(100, 15) so 68% of scores fall in ________? a. μ ± σ = 100 ± (1)(15) = 85 to 115 b. μ ± 2σ = 100 ± (2)(15) = 70 to 130 c. μ ± 3σ = 100 ± (3)(15) = 55 to 145

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d. μ ± 4σ = 100 ± (4)(15) = 40 to 160 Question 14 0.67 / 0.67 pts The z-score tells you how the value of _______ falls above or below μ. a. Standard deviation b. N c. Mean d. Sigma squared Question 15 0.67 / 0.67 pts Wechsler adult intelligence scores are Normally distributed with μ = 100 and σ = 15; X ~ N(100, 15) so 95% of scores fall in ________? a. μ ± σ = 100 ± (1)(15) = 85 to 115 b. μ ± 2σ = 100 ± (2)(15) = 70 to 130 c. μ ± 3σ = 100 ± (3)(15) = 55 to 145 d. μ ± 4σ = 100 ± (4)(15) = 40 to 160

Quiz week 3

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