Calculate the T Ratio and Make a Statistical Decision at the .05

question 122

Short Answer

Calculate the t ratio and make a statistical decision at the .05 level for the following combinations of r and N.
a. r = .18 and N = 122
b. r = .92 and N = 5
c. r = .45 and N = 12
d. r = .38 and N = 28

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Definitions:

Tchebysheff's Theorem

A statistical rule stating that for any dataset, regardless of distribution, a certain minimum percentage of values must lie within a specified number of standard deviations from the mean.

Population Mean

A calculation of the central value among all data points in a population.

Sample Mean

The average of a set of numerical values taken from a sample.

Grouped Data

Data that has been organized into groups or categories, often to simplify analysis and identify patterns within the data set.