Two Researchers Run Identical Experiments Except Researcher a Collects Twice $x$

question 27

Multiple Choice

Two researchers run identical experiments except researcher A collects twice as many points as researcher B. For a specific value $x$ , researcher A estimates a $y$ value of $y _ { A } ^ { \prime }$ and researcher B estimates a $y$ value of $y _ { B ^ { \prime } }$ . We would expect that researcher $\mathrm { A } ^ { \prime } \mathrm { s } 95 \%$ prediction interval around $y _ { A } ^ { \prime }$ to be, in general,

• A) wider than researcher B's \(95 \%\) prediction interval around \(y _ { B } ^ { \prime }\) or narrower than researcher B's \(95 \%\) prediction interval around \(y _ { B } ^ { \prime }\), with equal probability.
• B) the same as researcher B's \(95 \%\) prediction interval around \(y _ { B } ^ { \prime }\).
• C) narrower than researcher B's \(95 \%\) prediction interval around \(y _ { B } ^ { \prime } { } _ { B }\).
• D) wider than researcher B's \(95 \%\) prediction interval around \(y _ { B } ^ { \prime }\).

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