(c) Using the 99 percent confidence interval, can we be 99 percent confident that µ is at least 50 pounds? 99 percent interval extends 50.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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(c) Using the 99 percent confidence interval, can we be 99 percent confident that u is at least 50 pounds?
99 percent interval extends
50.
(d) Based on your answers to parts b and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the
market?
confident, since the 95 percent Cl is
50 while the 99 percent Cl contains 50.
Transcribed Image Text:(c) Using the 99 percent confidence interval, can we be 99 percent confident that u is at least 50 pounds? 99 percent interval extends 50. (d) Based on your answers to parts b and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the market? confident, since the 95 percent Cl is 50 while the 99 percent Cl contains 50.
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
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 in Table 1.10 is
x = 50.560. If we let u denote the mean of the breaking strengths of all possible trash bags of the new type and assume that o equals
1.68:
(a) Calculate 95 percent and 99 percent confidence intervals for u. (Round your answers to 3 decimal places.)
95 percent confidence intervals for u is
99 percent confidence intervals for u is
(b) Using the 95 percent confidence interval, can we be 95 percent confident that u is at least 50 pounds?
95 percent interval is
50.
Transcribed Image Text: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 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 in Table 1.10 is x = 50.560. If we let u denote the mean of the breaking strengths of all possible trash bags of the new type and assume that o equals 1.68: (a) Calculate 95 percent and 99 percent confidence intervals for u. (Round your answers to 3 decimal places.) 95 percent confidence intervals for u is 99 percent confidence intervals for u is (b) Using the 95 percent confidence interval, can we be 95 percent confident that u is at least 50 pounds? 95 percent interval is 50.
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