The Length of Time It Takes Students to Complete a Statistics

question 78

Essay

The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes.
a.Find the mathematical expression for the probability density function.
b.Compute the probability that a student will take between 45 and 50 minutes to complete the examination.
c.Compute the probability that a student will take no more than 40 minutes to complete the examination.
d.What is the expected amount of time it takes a student to complete the examination?
e.What is the variance for the amount of time it takes a student to complete the examination?

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Definitions:

Experimental Study Designs

Research methods that involve the manipulation of one or more variables to determine their effect on a certain outcome, often including control groups and randomization.

Objective Test

A type of assessment tool designed to measure an individual's knowledge or abilities in a specific area with minimal subjectivity from the tester.

Factor Analytic

A statistical method used to identify underlying variables, or factors, that explain patterns of correlations among observed variables, commonly used in psychology.

Test Writer's Construct

The underlying concept or theory that a test developer believes is being assessed by a psychological test or measurement.