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

question 22

Multiple Choice

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.
-If $\overline { \mathrm { d } } = 3.125 , \mathrm {~S} _ { \mathrm { d } } = 2.911$ , and $\mathrm { n } = 8$ , determine a 95 percent confidence interval for $\mu _ { \mathrm { d } }$ .

• A) \(2.264 < \mu _ { \mathrm { d } } < 3.986\)
• B) \(0.691 < \mu _ { \mathrm { d } } < 3.986\)
• C) \(0.691 < \mu _ { \mathrm { d } } < 5.559\)
• D) \(2.264 < \mu _ { \mathrm { d } } < 5.559\)

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Definitions:

Systolic Blood Pressure

The pressure in the arteries when the heart beats, pushing blood through the blood vessel network.

Normal Model

A probability distribution that is symmetrical around its mean, showing that data near the mean are more frequent in occurrence.

Summary Statistics

Statistical values that provide an overview or summary of a set of data, including measures like mean and standard deviation.

Standard Deviation

A means of quantifying the depth of variation or spread among elements in a dataset.