State what the given confidence interval suggests about the two population means.
-A hypothesis test is to be performed to test the equality of two population means. The sample sizes are large and the samples are independent. A 95% confidence interval for the difference between the population means
Is (1.4, 8.7). If the hypothesis test is based on the same samples, which of the following do you know for sure: A: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $5 \%$ level of significance.
B: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $10 \%$ level of significance.
C: The hypothesis $\mu _ { 1 } = \mu _ { 2 }$ would be rejected at the $1 \%$ level of significance.
A) A and C
B) A and B
C) A only
D) A, B, and C

Question

Quizplus · Accepted Answer

The confidence interval (1.4, 8.7) does not include 0, suggesting that the difference between the population means is statistically significant. Therefore, the null hypothesis $\mu_1 = \mu_2$ would be rejected at both the 5% and 10% significance levels.

State What the Given Confidence Interval Suggests About the Two μ1=μ2\mu _ { 1 } = \mu _ { 2 }μ1​=μ2​

State What the Given Confidence Interval Suggests About the Two $\mu _ { 1 } = \mu _ { 2 }$