Two Researchers Run Identical Experiments, Except Researcher a Collects Twice $\mathrm { y } _ { \mathrm {A} } ^ { \prime }$

question 28

Multiple Choice

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

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

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