2.You took a Math quiz worth 50 points(,-35; -4) with a score of40, you took a B

Question

2.You took a Math quiz worth 50 points(,-35; -4) with a score of40, you took a Biology quiz wort points (-70, = 2) with a score of 75, and you took a Psychology quiz worth 100 points (-80; -10) with a score of 75. a. Compute your z-score for each Quiz. Show all of your work! b. Which quiz did you perform better on relative to the rest of the class? How do you know? c. If your overall goal was to get an extremely high score on minimum score you would have needed? the Psychology quiz (-80:-10), what is the d. If your Math Professor that the standard deviation was actually -8, would you feel better or worse about your grade? Explain. made a mistake when calculating the standard deviation and posted an announcement

Explanation / Answer

Ans:

a)

b)

As,percentile is highest for Biology,so Performance is best in Biology.

c)Extremeky high means that z score>=3

x=80+3*10=80+30=110

So,minimum score should be 110.

d)new z score=(40-35)/8=0.625

percentile=100*P(Z<=0.625)=100*0.734=73.4%

Percentile will decrease from 89.44% to 73.4%,so you will feel worse about your grade.

Subject µ score z score=(x-µ)/ Math 35 4 40 1.25 Biology 70 2 75 2.5 Psychology 80 10 75 -0.5

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