1. A Levi Strauss & Co. clothing manufacturing plant in Albuquerque, NM, has a quality control f - department. Every week, data are collected from its suppliers on the percentage waste (Called it ' runoff) relative what can be achieved by computer layouts of patterns on cloth. A negative ' I value for waste would indicate that the plant employees beat the computer in controlling waste that week. The waste data for Supplier Plant 2 for 22 weeks are provided to assess whether, on average, this plant performed better than the computer at controlling waste. ants Plant 2 percentage of waste 1.2i10.1 -2.0 1.5 -3.0-o.7 [3.2 '27 -3.2 -1.7 2.4 o.3l3.5 0.8 19.4 2.8 13.0'427'14 3.0 2.4 1.3 (a) State appropriate hypothesis. Remember that a score of zero means that the plant , employees and the computer layout were the same and that a negative value means that the employees beat the computer layout. (b) Report the p-value fo the test in part (a). (c) Are the results statistically signicant at the 1% level? (d) Make a histogram of these data and comment on the assumption of an underlying normal distribution for waste. What other assumption must we make about the data