Question

given ( h_0:muleq12 ), for which confidence interval should you reject ( h_0 )?

a. ( (13,16) )
b. ( (11.5,12.5) )
c. ( (10,13) )

Explanation:

Step1: Analyze the null hypothesis

The null hypothesis \(H_0:\mu\leq12\). We reject \(H_0\) when the confidence interval does not contain values \(\leq12\).

Step2: Check each interval

• For interval \(A=(13,16)\), all values \(13 < x<16\) are greater than \(12\).
• For interval \(B=(11.5,12.5)\), values \(11.5 < x\leq12\) are present.
• For interval \(C=(10,13)\), values \(10 < x\leq12\) are present.

Answer:

A. (13,16)