Consider the trash bag problem. 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 men breaking strength of 50 pounds or more. On the basis of the results the producer of the new improved trash bag feels sure that its 30 gallons will be the strongest such bag on the market if the new trash bag mean breaking strength can be shown to be at least 50pound. The mean of the sample of 40 trash bag breaking strengths in table 1.9 is x=50.575. if we let u denote the mean of the breaking strengths of all possible trash bags of the new type and assume that o equal 1.65.
Calculate 95% and 99% intervals for u
Using the 95 % confidence interval can we be 95% confident that u is at least 50 pound? Explain
Using 99% confidence interval we be 99 percent confident that u at least 50 pounds? Exp
Based in your answers to part b, and c how convinced are you that the new 30 gallons trash bag is the strongest such bag on the market?