# The UM Ross School of Business

Exercises

1. The UM Ross School of Business has 300 students who graduate with a bachelor’s degree each year. A random sample of students was selected, and their GMAT scores reported. Whether or not they were seeking admission to a graduate business school in the next year was recorded.

Here is additional information that you may need to answer the questions.

• Total GMAT Scores are normally distributed range from 200 to 800. The current average combined GMAT score is 560, with a standard deviation of 100.
• Among the Ross sample, the average GMAT score was 580, with a standard deviation of 85.

Make sure to use the new concepts in this module. This exercise is different from the previous standardized test exercises. It is using sample data.

1. There is a _________ percent chance that a simple random sample of 10 applicants will provide an estimate of the population mean GMAT score that is within +/-10 of the actual population mean.

1. There is a _________ percent chance that a simple random sample of 30 applicants will provide an estimate of the population mean GMAT score that is within +/-10 of the actual population mean.
• There is a _________ percent chance that the sample mean will be higher than 600.
• There is a _________ percent chance that the sample mean will be between 580 and 620.
• There is a _________ percent chance that the sample mean will be at least 530.

1. There is a _________ percent chance that a simple random sample of 100 applicants will provide an estimate of the population mean GMAT score that is within +/-10 of the actual population mean.

1. There is a _________ percent chance that a simple random sample of 100 applicants will provide an estimate of the population mean GMAT score that is within +/-20 of the actual population mean.

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