A sample of 19 joint specimens of a particular type gave a sample mean proportional limit stress of 8.55 MPa and a sample standard deviation of 0.72 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.) 8.26 MPa
A sample of 19 joint specimens of a particular type gave a sample mean proportional limit stress of 8.55 MPa and a sample standard deviation of 0.72 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.) 8.26 MPa
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A sample of 19 joint specimens of a particular type provided a sample mean proportional limit stress of 8.55 MPa and a sample standard deviation of 0.72 MPa.
**(a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joints. (Round your answer to two decimal places.)**
Lower confidence bound: **8.26 MPa** ✔️
**Interpret this bound:**
- With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is greater than this value. ✔️
**What, if any, assumptions did you make about the distribution of proportional limit stress?**
- We must assume that the sample observations were taken from a normally distributed population. ✔️
**(b) Calculate and interpret a 95% lower prediction bound for proportional limit stress of a single joint of this type. (Round your answer to two decimal places.)**
Lower prediction bound: **7.24 MPa** ❌
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