The normal density curve is symmetric about A) An inflection point B) Its mean C

Question

The normal density curve is symmetric about A) An inflection point B) Its mean C) The horizontal axis D) A point located one standard deviation from the mean The graph of a normal curve is given. Use the graph to identify the value of mu and sigma A) mu = 32, sigma = 849 B) mu = 96, sigma = 849 C) mu = 849, sigma = 96 D) mu = 849, sigma = 32 The area under a standard normal density curve with mean of 0 and standard deviation of 1 is A) mu + 2(3 sigma) B) 1 C) mu + 3 sigma D) infinite The highest point on the graph of the normal density curve is located at A) mu + sigma B) its mean C) mu + 3 sigma D) an inflection point Approximately _____ % of the area under the normal curve is between mu - sigma and mu + sigma. A) 99.7 B) 95 C) 68 D) 50 True or False: The area under the normal curve drawn with regard to the population parameters is the same as the proportion of the population that has these characteristics. A) True B) False True or False: The area under the normal curve drawn with regard to the population parameters is the same as the probability that a randomly selected individual of a population has these characteristics. A) True B) False True or False: The proportion of the population that has certain characteristics is the same as the probability that a randomly selected individual of the population has these same characteristics. A) True B) False A random variable X is normally distributed with mu = 60. Convert the value of X to a z-score, if the standard deviation is as given. X = 72; sigma = 8 A) 1.5 B) 12 C)15/2 D) 8

Explanation / Answer

60)mean

61)option D

62)option B

63)option D

64)option C

65)false

66)true

67)false

68)z score =(X-mean)/std deviation =12/8=1.5

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