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. To reach maximum efciency in performing an assembly operation in a manufacturing plant, new employees require approximately a 1month training period. A new method of training was suggested, and a test was conducted to compare the new method with the standard procedure. Two groups of nine new employees each were trained for a period of 3 weeks, one group using the new method and the other following the standard training procedure. The length of time (in minutes) required for each employee to assemble the device was recorded at the end of the 3-week period. The resulting measurements are as shown in the following table. Assume that the assembly times are approximately normally distributed, Procedure Measurements Standard 32 37 35 28 41 44 35 31 34 New 35 31 29 25 34 40 27 32 31 that the variances of the assembly times are approximately equal for the two methods, and that the samples are independent. (a) Test the hypothesis of equality of population means for assembly times across the two procedures against a two side alternative at the 5% signicance level. That is: Ho: mu2=0 Ha: val#27\"), where p1 and m are the assembly times population means for the standard procedure and new method respectively. (b) Construct a condence interval for the difference in population means p1 H2 at the 95% condence level. Can you provide an answer to (a) with your estimated condence interval? Why

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