Question

1.True/False. Explain.

(a)The normal is a right skewed distribution.____________________________________________________________________________________________________________________

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(b)If a normal distribution is described by X ~ N(60, 5), then the median for this distribution is 60.___________________________________________________________________________

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(c)For a normal distribution when you decrease the standard deviation, the curve becomes more flatter._____________________________________________________________________

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2.Jerome averages 16 points a game with a standard deviation of four points. Fill in the blanks.

(a)ThenX~N(____,____).

(b)Suppose Jerome scores ten points in a game.Then the z–value for Jerome’s score is _________.

(c)This score tells you that x= 10 is _________ standard deviations to the ______(right or left) of the mean______(What is the mean?).

3.In 2012, 1,664,479 students took the SAT exam. The distribution of scores in the verbal section of the SATwas normal and had a meanμ= 496 and a standard deviationσ= 114. Let X= a SAT exam verbal section score of a student in 2012. ThenX~N(496, 114).

(a)Find the z-score(z1)for first student ,x1= 325 and also find the z-score(z2) fora second student x2= 366.21.z1= ________z2= ________

(b)Interpret each z-score. What can you say about x1= 325 and x2= 366.21 as they compare to their respective means and standard deviations?

Answer 1