Question

In: Statistics and Probability

There are 2 questions in this assignment. Molly wants to pursue a graduate degree at New...

There are 2 questions in this assignment.

  1. Molly wants to pursue a graduate degree at New University but is unsure whether to specialize in law or medicine. To help her decide, she takes both the MCAT and LSAT exams.

LSAT: Molly's score = 120; Students at New University: M = 150, SD = 15

MCAT: Molly's score = 52; Students at New University: M = 40, SD = 6

Enter the data into SPSS and compute z-scores for each group of data.

Which graduate degree should Molly pursue?

In addition to your answer to the preceding question, copy and paste the SPSS output showing how you calculated this score and organize this in a Word document.

  1. Amy and Sarah are arguing about who is smarter. They are the same major (psychology), they have identical GPAs (3.8), and attend the same university (Temple). They’ve decided that whoever had a higher college entrance exam is the more intelligent person. However, Amy took the ACT and Sarah took the SAT.

Amy earned a composite score of 24 on the ACT where there is a population mean of the ACT is 18 (σ = 6).

Sarah earned a composite score of 1,000 on the SAT where there is a population mean for the SAT is 906 = 100).  

Compute the z-scores for Amy and Sarah using SPSS. According to their agreement, who is more intelligent?

In addition to your answer to the preceding question, copy and paste the SPSS output showing how you calculated this score and organize this in a Word document.

Solutions

Expert Solution

Solution:-

1) She should specialise in medicine, because her MCAT score is relatively higher than her LSAT score.

LSAT: Molly's score = 120; Students at New University: M = 150, SD = 15

x = 120

By applying normal distribution:-

z = - 2.0

MCAT: Molly's score = 52; Students at New University: M = 40, SD = 6

x = 52

By applying normal distribution:-

z = 2.0

She should specialise in medicine, because her MCAT score is relatively higher than her LSAT score.

2) According to their agreement, Amy is more intelligent, because her z-score is greater than z-score of Sarah.

Amy earned a composite score of 24 on the ACT where there is a population mean of the ACT is 18 (σ = 6).

x = 24

By applying normal distribution:-

z = 1.0

Sarah earned a composite score of 1,000 on the SAT where there is a population mean for the SAT is 906 = 100).  

x = 1000

By applying normal distribution:-

z = 0.94

According to their agreement, Amy is more intelligent, because her z-score is greater than z-score of Sarah.


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