3 this question has two parts
Extracted text: Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population Sample Size 36 36 Sample Mean 5.3 6.6 Sample Variance 9.56 10.22 A 90% confidence interval for u, - µ, is -2.52 to -0.08 and a 99% confidence interval for u, - µ, is -3.21 to 0.61. Use these confidence intervals to answer the questions. Can you conclude with 90% confidence that there is a difference in the means for the two populations? O No. The value u, - µ, = 0 is in the interval which does not suggest that there is a difference between u, and u,. O Yes. The value u, - µ, = 0 is in the interval which suggests that there is likely a difference between and u2. O Yes. The value u, - µ, = 0 is not in the interval which suggests that there is likely a difference between u, and u,. O No. The value u, - µ, = 0 is not in the interval which does not suggest that there is a difference between u, and u,. Can you conclude with 99% confidence that there is a difference in the means for the two populations? O No. The value u, - µ, = 0 is in the interval which does not suggest that there is a difference between u, and u,. O Yes. The value u, - µ, = 0 is in the interval which suggests that there is likely a difference between u, and µ,. O Yes. The value u, - µ, = 0 is not in the interval which suggests that there is likely a difference between u, and u,. O No. The value u, - µ, = 0 is not in the interval which does not suggest that there is a difference between u, and uz.