A leading manufacturer of trash bags developed a new 30-gallon bag using a specially formulated plastic that is stronger and more biodegradable than other plastics. The company also believes the new bag is stronger than its current 30-gallon bag. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bags that are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer of the new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag's mean breaking strength can be shown to be at least 50 pounds. The mean of the sample of 40 trash bag breaking strengths is X = 50.575. If we let / denote the mean of the breaking strengths of all possible trash bags of the new type and assume that o = 1.65: Calculate and select the 99 percent Choose... confidence intervals for J. Using the 99 percent confidence interval, can we be 99 percent confident Choose... that / is at least 50 pounds? Select. Based on your answers to parts b and c, how convinced are you that the new 30- Choose... gallon trash bag is the strongest such bag on the market? Using the 95 percent confidence interval, can we be 95 percent confident Choose... that / is at least 50 pounds? Select. Calculate and select the 95 percent Choose... confidence intervals for /