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

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