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SampHe Exaxmixnati*rs Six - La Jolla High School

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140 Sarnple Examination <strong>Six</strong> Section tr<br />

19. The Central Liniit Theorem of statistics states which of the fotlowing for a sample of<br />

size n, (n > i),<br />

(A) the si,ape of the sampling distribution of sample rneans is always normal<br />

(B) the mean of the set of sample means is always less than the mean of the population<br />

(C) the standard deviatiern of the set of sample means is equal to the standard<br />

deviation of the population<br />

(D) the mean of the set cf sample means is equal to the mean of the population rvhen<br />

n is large<br />

(E) the standard deviation of the set of sarnple means is greaterthan the standard<br />

deviation of the population<br />

20. George Washington <strong>High</strong> Schooi has a distribution of grade point averages which are<br />

approximately normally distributed with a mean of 2.5 and a standard deviation of 0.5.<br />

All students q'ith a 3.5 or higher grade point average graduate with honors. According<br />

to the Empirical Rule, approximately rvhat percentage of the students will graduate<br />

nith honors?<br />

(A) 2.5%<br />

(B) 59'o<br />

(c) t3.s%<br />

(D) 16%<br />

(E\ 9s%<br />

2l. lf X is a normally distributed random variable with a mean<br />

deviation of 4, then P (14 < X < 82) is<br />

(A) 0.1e1s<br />

(B) 0.2417<br />

(c) 0.4332<br />

(D) 0.6247<br />

(E) 1.0000<br />

or reuslng<br />

any part of thls page ls illegal.<br />

Ansrver<br />

Answer<br />

[]<br />

of 80 and a standard<br />

Ansrver

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