Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.

Population12Sample Size3441Sample Mean9.87.5Sample Variance10.6316.49

State the null and alternative hypotheses used to test for a difference in the two population means.

H₀: (₁₂) = 0 versusH_a: (₁₂)0

H₀: (₁₂)0 versusH_a: (₁₂) = 0

H₀: (₁₂) < 0 versusH_a: (₁₂) > 0

H₀: (₁₂) = 0 versusH_a: (₁₂) > 0

H₀: (₁₂) = 0 versusH_a: (₁₂) < 0

Calculate the necessary test statistic. (Round your answer to two decimal places.)

z=

Calculate the rejection region with= 0.01.

(Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)

z>z<

Draw the appropriate conclusion.

H₀is rejected. There is sufficient evidence to indicate a difference in mean.

H₀is not rejected. There is insufficient evidence to indicate a difference in mean.

H₀is rejected. There is insufficient evidence to indicate a difference in mean.

H₀is not rejected. There is sufficient evidence to indicate a difference in mean.