QUESTION 14 We want to figure out the different percentages of out of 700 points

Question

QUESTION 14 We want to figure out the different percentages of out of 700 points and on average when people take the course they have a mean-560 (.35). people in a specific class falling within the normal distribution. The course for the class is One student eaned a score of 675. Calculate the z-score and find the percentage of people who will z-score: 3.57, 99% of people will fall below this score z-score: 3.57, 49% of people will fall below this score z-score: 3.57, .01% of people wil fall below this score QUESTION 15 GRE scores expire after 5 years. A student who had previously taken the GRE a long time ago is retaking the GRE in order to apply for graduate school. The student wishes to compare their old GRE score to their new GRE score but the scoring rules have changed. Old GRE score: 1310 ( 1200, #200), New GRE score: 350 (( = 300, = 15) Calculate z-scores to help this student compare their two scores. e old GRE i-score: 1.05 Old GRE z-score: 0.55 New GRE z-score: 3.33 New GRE z-score: 2.00

Explanation / Answer

14) Since =550 and =35 we have:

P ( X<675 )=P ( X<675550 )=P ((X)/<(675550)/35)

Since (x)/=Z and (675550)/35=3.57 we have:

P (X<675)=P (Z<3.57)

Use the standard normal table to conclude that:

P (Z<3.57)=0.9998= 99%

15) Old GRE Zscore= 1310-1200/200= 0.55

New GRE Zscore= 350-300/15= 3.33

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