Construct a Confidence Interval for µD, the Mean of the Differences

question 105

Multiple Choice

Construct a confidence interval for µd, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed.
-Using the sample paired data below, construct a 90% confidence interval for the population mean of all differences x - y. $$\begin{array} { c | c c c c c } \mathrm { x } & 6.0 & 4.5 & 4.8 & 2.5 & 6.3 \\\hline \mathrm { y } & 5.7 & 3.3 & 4.4 & 3.2 & 4.0\end{array}$$

• A) \(- 0.37 < \mu _ { \mathrm { d } } < 1.77\)
• B) \(0.22 < \mu _ { \mathrm { d } } < 7.48\)
• C) \(- 0.31 < \mu _ { \mathrm { d } } < 1.71\)
• D) \(- 0.07 < \mu _ { \mathrm { d } } < 1.47\)

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Definitions:

Neurotrophic Factor

Neurotrophic factors are a family of proteins that are responsible for the growth, survival, and maintenance of neurons during development and in the adult nervous system.

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Pertaining to substances or factors that originate from the brain, such as brain-derived neurotrophic factor (BDNF) which supports neuron growth and survival.

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The ability of the nervous system to change and adapt, both in structure and function, in response to experiences or injuries.

Neuropsychological Tests

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