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Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled​ t-procedures satisfied....

Preliminary data analyses indicate that you can reasonably consider the assumptions for using pooled​ t-procedures satisfied. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the following information on time​ served, in months. Obtain a 95 %95% confidence interval for the difference between the mean times served by prisoners in the fraud and firearms offense categories. Fraud Firearms 9.29.2 12.612.6 17.617.6 25.125.1 16.616.6 5.35.3 16.716.7 19.419.4 12.612.6 18.318.3 12.212.2 17.317.3 12.812.8 7.97.9 22.922.9 17.617.6 12.812.8 7.57.5 24.424.4 14.814.8 ​(Note: x overbar 1 equals 11.56x1=11.56​, s 1 equals 4.09s1=4.09​, x overbar 2 equals 18.8x2=18.8​, and s 2 equals 4.18s2=4.18​.

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