In a randomized comparative experiment on the effect of color on the performance of a cognitive task, researchers randomly divided 70 subjects (30 males and 40 females ranging in age from 17 to 25 years) into three groups. Participants were asked to solve a series of 6 anagrams. One group was presented with the anagrams on a blue screen; one group saw them on a red screen; and one group had a neutral screen. The time, in seconds, taken to solve the anagrams was recorded. The paper reporting the study gives x⎯⎯⎯=11.62 and s=4.57 for the times of the n= 20 members of the neutral group. (Give your answer to three decimal places.) A 96 % confidence interval for the mean time in the population from which the subjects were recruited is from
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