Construct the Indicated Confidence Interval for the Difference Between the Two

question 54

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent and that they have been randomly selected.
-Two types of flares are tested for their burning times (in minutes) and sample results are given below. $$\begin{array} { l l l } \text { Brand } X & & \text { Brand } Y \\\hline n =35& & \frac { n } { n } = 40 \\\bar { x } = 19.4 & & \bar { x } = 15.1 \\\mathrm {~s} = 1.4 & & \mathrm {~s} = 0.8\end{array}$$
Construct a $95 \%$ confidence interval for the differences $\mu _ { X } - \mu _ { Y }$ based on the sample data.

• A) \(3.6 < \mu _ { X } - \mu _ { Y } < 5.0\)
• B) \(3.8 < \mu _ { X } - \mu Y < 4.8\)
• C) \(3.5 < \mu X - \mu Y < 5.1\)
• D) \(3.2 < \mu X - \mu Y < 5.4\)

---

Definitions:

Neurotransmitters

Chemical messengers in the nervous system that transmit signals across the synapse from one neuron to another.

Reuptake

The process by which neurotransmitters are absorbed back into the nerve cell that released them, effectively stopping their action in the synapse.

Neurotransmission

The process by which signals or messages are transmitted through the nervous system by neurons, using chemical substances known as neurotransmitters.

Graded Potential

A shift in the electrical charge across a neuron's membrane, varying in magnitude and not following the all-or-nothing principle.