Construct a 95% Confidence Interval for Data Sets a and B

question 11

Multiple Choice

Construct a 95% confidence interval for data sets A and B. Data sets A and B are dependent. $$\begin{array} { c | l l l l l } \text { A } & 30 & 28 & 47 & 43 & 31 \\\hline \text { B } & 28 & 24 & 25 & 35 & 22\end{array}$$ Assume that the paired data came from a population that is normally distributed.

• A) (-0.696, 18.700)
• B) (-1.324, 8.981)
• C) (-0.113, 12.761)
• D) (-15.341, 15.431)

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Definitions:

Test Statistic

A value calculated from sample data during a hypothesis test, used to decide whether to reject the null hypothesis.

Statistical Evidence

Data or information collected and analyzed to support or refute a hypothesis, often derived from statistical tests.

Alternative Hypothesis

A statement that contradicts the null hypothesis and is tested to determine if there is significant evidence to support it.

Test Statistic

A value calculated from sample data used to make a decision on whether to reject the null hypothesis.