Z Score Application Research Proposal

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Score

Z Scores

Z-Scores

The graduate selection committee wants to select the top 10% of applicants. On a standardized test with a mean of 500 and a standard deviation of 100, what would be the cutoff score for selecting the top 10% of applicants, assuming that the standardized test is normally distributed?

The cut off score is determined by identifying the z-score associated with that percentile and computing the raw for that z-score (Aron, Coups, & Aron, 2011).

Z=

Transposing for X

The cut off score is 629

The average commute time via train from the Chicago O'Hare Airport to downtown is 60 minutes with a standard deviation of 15 minutes.

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Assume that the commute times are normally distributed. What proportion of commutes would be:

Longer than 80 minutes?

Less than 50 minutes?

Between 45 and 75 minutes?

The proportion of commutes would be determined by computing the z-score for the relevant times and examining the proportion of the curve that are beyond, below and between the computed z-scores (Levin, Fox, &, Forde 2010).

a)….....

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