Question

question 5 2 pts suppose we want to test the null hypothesis h₀: μ = 12, and have the following confidence intervals (no calculations needed). in which of these intervals would we not reject the null hypothesis? 8, 11 13, 15 5, 7 10, 14

Explanation:

When testing a null hypothesis \(H_0:\mu = 12\) using a confidence interval, we do not reject \(H_0\) if the hypothesized value (\(\mu = 12\)) lies within the confidence interval.

• For the interval \([8,11]\), \(12\) is not in this interval.
• For the interval \([13,15]\), \(12\) is not in this interval.
• For the interval \([5,7]\), \(12\) is not in this interval.
• For the interval \([10,14]\), \(12\) is in this interval.

Answer:

\([10,14]\)