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The mean and the standard deviation of the sample of 30 trash bag breaking strengths in Table 1.10 are a"; : 52.167 and 5: 5.394. Calculate a tbased 95 percent confidence interval for p. the mean of the breaking strengths of all possible new trash bags. Are we 95 percent condent that ,u is at least 50 pounds? Assuming that the population of all individual trash bag breaking strengths is normally distributed, estimate tolerance intervals of the form \"J 1r ZGQ x C] that contain (1) 95 percent of all individual trash bag breaking strengths and (2) 99.8 percent of all individual trash bag breaking strengths. (Round your answers to 3 decimal places.) Click here forthe Excel Data File The trbased 95 percent condence interval for #5 The t-based 95 percent condence interval is [ 50.153 0 , 54.151 0 ] Yes 0 ,lhe interval is greater 0 210a" The individual trash bag breaking strengths: The 95% of all individual trash bag breaking strengths [ 50236 a , 54.097 6 l The 99.8% of all individual lrash bag breaking strengths [ 49.123 6 , 55.210 6 ]