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Random samples of LaTeX: n_1=15n1=15 and LaTeX: n_2= 10n2=10 were selected from populations 1 and 2, respectively. The corresponding sample standard deviations were LaTeX: s_1= 5.3s1=5.3 and LaTeX: s_2= 8.8s2=8.8.
a) Do the data provide sufficient evidence (LaTeX: alpha=0.05α=0.05) to indicate a difference in LaTeX: sigma_1σ1 and LaTeX: sigma_2σ2? Use rejection region approach.
b) Place a 95% confidence interval on the ratio of the variances LaTeX: sigma^{2}_{1}/sigma^{2}_{2}σ21/σ22.
c) What assumptions have you made concerning the data and populations when making your calculations in parts (a) and (b)?
This document contains various important questions and their appropriate answers in the subject field of Economics.
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