Questions T2.9 and T2.10 refer to the following setting. Until the scale was changed in $1995$, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the $1990s$was $470$and the standard deviation was $110$. In $2009$, the mean was 515 and the standard deviation was 116 .
T2.9. What is the standardized score ( $z$-score) for a student who scored $500$ on the old SAT scale?
(a) $-30$
(b) $-0.27$
(c) $-0.13$
(d) $0.13$
(e) $0.27$

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