Construct a 95% Confidence Interval For $\mu _ { 1 } - \mu _ { 2 }$

question 66

Multiple Choice

Construct a 95% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ Two samples are random, independent, and come from populations that are normally distributed The sample statistics are given below. Assume that $\sigma _ { 1 } ^ { 2 } = \sigma _ { 2 } ^ { 2 }$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\overline { \mathrm { x } } 1 = 4.8 & \overline { \mathrm { x } } 2 = 5.2 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

• A)(-0.883, 0.083)
• B)(-4.152, 3.981)
• C)(-2.762, 2.762)
• D)(-1.762, 1.762)

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Definitions:

Output Instructions

Commands in programming languages or PLCs that control the output actions or devices, based on logic or conditions.

Scan Time

The time taken by a PLC to read all inputs, execute the program, and update the outputs in one complete cycle.

Signal

The event or electrical quantity that conveys information from one point to another.

Controller

A device or system that manages the operation of other devices or systems through control loops, often used in industrial and computing applications.