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Calculate 95 percent confidence intervals for u. (Round your answers to 3 decimal places.)

Calculate 95 percent confidence intervals for u. (Round your answers to 3 decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 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 39 trash bag breaking strengths in Table 1.10 is x = 50.573. If we let udenote the mean of the breaking strengths of all possible trash bags of the new type and assume that o equals 1.61: Calculate 95 percent confidence intervals for µ. (Round your answers to 3 decimal places.)
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 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 39 trash bag breaking strengths in Table 1.10 is x = 50.573. If we let udenote the mean of the breaking strengths of all possible trash bags of the new type and assume that o equals 1.61: Calculate 95 percent confidence intervals for µ. (Round your answers to 3 decimal places.)
Expert Solution
Step 1

It is given that

Sample mean, x̄ = 50.573

Standard deviation, σ = 1.61

Same size, n = 39

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