A Random Sample of 10 Adult Subjects Was Selected and Tested

question 51

Short Answer

A random sample of 10 adult subjects was selected and tested on the Vocabulary sub-test of the Wechsler Adult Intelligence Scale (WAIS). Their scores were as follows: 12, 11, 10, 10, 10, 7, 6, 6, 5, 5. Test whether this sample could be representative of a population whose mean is known to be 10.00.

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Definitions:

Sum Of Squares

A statistical tool that quantifies the variance within a set of numbers, measuring the dispersion from their mean.

Error

A discrepancy between a computed or measured value and the true value.

Linear Regression

A statistical method used to model the relationship between a dependent variable and one or more independent variables by fitting a linear equation.

F-Test Statistic

A type of statistical test used to compare the variances of two populations or to test the significance of regression coefficients in a linear regression model.