Suppose That Scores on a Test Are Normally Distributed with a Mean

question 73

Essay

Suppose that scores on a test are normally distributed with a mean of 80 and a standard deviation of 8. Read the two questions below. A. What is the 90th percentile? B. What percentage of students score less than 90? Explain the difference between the two questions. Describe how the method for solving A would differ from the the method for solving B. Be sure to include in your explanation a description of how the table of areas would be used in each case.

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Definitions:

R

A programming language and free software environment used for statistical computing and graphics.

Significance

The likelihood that an observed effect or relationship in data is not due to chance, typically assessed through statistical tests.

Regression Equation

A mathematical formula that describes the relationship between two or more variables, typically identifying how one dependent variable changes as an independent variable(s) changes.

Y-intercept

The location on a graph where a line or curve intersects with the y-axis.