Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

question 190

Essay

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-Ten different families are tested for the number of gallons of water a day they use before and after viewing a
conservation video. At the 0.05 significance level, test the claim that the mean is the same before and after the
viewing. $$\begin{array} { l l l l l l l l l l l } \text { Before } & 33 & 33 & 38 & 33 & 35 & 35 & 40 & 40 & 40 & 31 \\\hline \text { After } & 34 & 28 & 25 & 28 & 35 & 33 & 31 & 28 & 35 & 33\end{array}$$

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Definitions:

Hormones

Chemical substances produced in the body that regulate and control the activity of certain cells or organs.

Tasks

Specific pieces of work to be done, often as part of a larger project or goal.

Sympathetic Nervous System

A part of the autonomic nervous system that prepares the body for physical activity by increasing heart rate, constricting blood vessels, and raising blood pressure.

Accelerator

A device, typically a pedal, that controls the speed of a vehicle's engine.