The Graduate Management Admission Test (GMAT) is a standardized exam used by man

Question

The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547 (Magoosh website, January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of 100. Make sure to use the empirical rule to answer these questions. a. What percentage of GMAT scores are 647 or higher? b. What percentage of GMAT scores are 747 or higher (to 1 decimal)? c. What percentage of GMAT scores are between 447 and 547? d. What percentage of GMAT scores are between 347 and 647 (to 1 decimal)?

Explanation / Answer

a) P(647 or higher)

= P(z > (647 - 547)/100)

= P(z > 1)

= 16%

b) P(747 or higher)

= P(z > (747 - 547)/100)

= P(z > 2)

= 2.5%

c) P(447 < X < 547)

= P(-1 < z < 0)

= 34%

d) P(347 < X < 647)

= P(-2 < z < 1)

= 81.5%

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