Independent random samples of 10 released prisoners in the fraud and 10 released prisoners in the firearms offense categories yielded the given information on time served, in months. At the 1% significance level, do the data
provide sufficient evidence to conclude that the mean time served for fraud is less than that for firearms offenses? Assume the population standard deviations are equal.
Let, be the mean time served for fraud μ_2 the mean time served for firearms offenses. What are the correct hypotheses to test?
A. H_o: μ_1=μ_2
H_a: μ_1>μ_2
B. H_o: μ_1≠μ_2
H_a: μ_1=μ_2
C. H_o: μ_1>μ_2
H_a: μ_1=μ_2
D. H_o: μ_1=μ_2
H_a: μ_1≠μ_2
E. H_o: μ_1<μ_2
H_a: μ_1=μ_2
F. H_o: μ_1=μ_2
H_a: μ_1<μ_2
Compute the test statistic,
t = _______(Round to three decimal places as needed.)
Determine the critical value or values. ______
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
