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Question
Given the following null and alternative hypotheses
H0: μ1≥ μ2
HA: μ1< μ2
Together with the following sample information
A) Because the calculated value of t = -2.145 is less than the critical value of t = -1.6973, reject the null hypothesis. Based on these sample data, at the α = 0.05 level of significance there is sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.
B) Because the calculated value of t = -1.814 is less than the critical value of t = -1.6973, reject the null hypothesis. Based on these sample data, at the α = 0.05 level of significance there is sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.
C) Because the calculated value of t = -1.329 is not less than the critical value of t = -1.6973, do not reject the null hypothesis. Based on these sample data, at the α = 0.05 level of significance there is not sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.
D) Because the calculated value of t = -1.415 is not less than the critical value of t = -1.6973, do not reject the null hypothesis. Based on these sample data, at the α = 0.05 level of significance there is not sufficient evidence to conclude that the mean for population 1 is less than the mean for population 2.
Answer
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