Construct a Data Set with N = 14 Such That

question 43

Essay

Construct a data set with n = 14 such that the sign test would fail to reject the null hypothesis that the median is equal to 50 while the t-test conclusion is to reject the null hypothesis of µ = 50.

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Definitions:

Pairs Of (X, Y)

Ordered sets of data used to describe a relationship between two variables, typically used in scatter plots or linear regression analysis.

Coefficients Of Correlation

Numerical indices that represent the strength and direction of the linear relationship between two variables.

Negative Linear Relationship

A relationship between two variables where as the value of one variable increases, the value of the second variable decreases, forming a straight line in a graphical representation.

Variables Of Interest

Specific items or characteristics that researchers aim to study, measure or manipulate within a study.