The vacancy will occur because Chief Justice Kay McFarland plans to retire in January.
The Supreme Court Nominating Commission picked them from among eight applicants, after interviewing them Thursday.
Gov. Kathleen Sebelius has until Jan. 12, the day McFarland leaves office, to name the new justice. It will be her fourth appointment to the seven-member court.
McFarland will be retiring after more than 31 years on the court and 13 years as chief justice.
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