Scores on an English test are normally distributed with a mean of 31.4 and a standard deviation of 8.9. Find the 41st percentile.
A) 29.4 B) 26.1 C) 36.7 D) 33.4
Q. 2Assume that the random variable X is normally distributed with mean and standard deviation Find the 87th percentile for X.
A) 66.44 B) 96.44 C) 89.72 D) 93.56
Q. 3A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find the 6th decile.
A) 211.3 B) 187.5 C) 207.8 D) 212.5
Q. 4Determine the two z-scores that separate the middle 96 of the distribution from the area in the tails of the standard normal distribution.
A) -2.33 and 2.33 B) 0 and 2.05 C) -2.05 and 2.05 D) -1.75 and 1.75
Q. 5Thirty-five math majors, 47 music majors and 37 history majors are randomly selected from 276 math majors, 500 music majors and 379 history majors at the state university. What sampling technique is used?
A) stratified
B) cluster
C) convenience
D) simple random
E) systematic
Q. 6Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of the third quartile.
A) 64.3 inches B) 65.3 inches C) 66.1 inches D) 67.8 inches
Q. 7The annual precipitation for one city is normally distributed with a mean of 30.4 inches and a standard deviation of 2.7 inches. Find the 2nd decile.
A) 35.935 inches B) 28.132 inches C) 32.668 inches D) 24.865 inches
Q. 8Determine the two z-scores that separate the middle 87.4 of the distribution from the area in the tails of the standard normal distribution.
A) -1.46, 1.46 B) -1.53, 1.53 C) -1.45, 1.45 D) -1.39, 1.39
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