A Real Estate Agent Wants to Know How the Home

Essay

A real estate agent wants to know how the home size (in square feet) of parents compares to the home size of their children. For a sample of seven parents and their children, the value of the test statistic for the Wilcoxon signed-rank test for a matched pairs sample is T = T⁺ = 27. The differences are calculated as the parent's home size subtracted by the child's home size.
A) Specify the competing hypothesis to determine if the median difference in home size between parents and children is greater than zero.
B) At the 5% significance level, what is the critical value?
C) At the 5% significance level, what is the decision and conclusion?