A sample of 19 joint specimens of a particular type gave a sample mean proportional limit stress of 8.53 MPa and a sample standard deviation of 0.79 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.) X MPa Interpret this bound. O With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is less than this value. O 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. O With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around this value. What, if any, assumptions did you make about the distribution of proportional limit stress? O We must assume that the sample observations were taken from a normally distributed population. O We do not need to make any assumptions. O we must assume that the sample observations were taken from a uniformly distributed population. O We must assume that the sample observations were taken from a chi-square 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.) MPa Interpret this bound. O If this bound is calculated for sample after sample, in the long run 95% of these bounds will be centered around this value for the corresponding future values of the proportional limit stress of a single joint of this type. If this bound is calculated for sample after sample, in the long run 95% of these bounds will provide a higher bound for the corresponding future values of the proportional limit stress of a single joint of this type. O If this bound is calculated for sample after sample, in the long run, 95% of these bounds will provide a lower bound for the corresponding future values of the proportional limit stress of a single joint of this type. You may need to use the appropriate table in the Appendix of Tables to answer this question.

A sample of 19 joint specimens of a particular type gave a sample mean proportional limit stress of 8.53 MPa and a sample standard deviation of 0.79 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.) X MPa Interpret this bound. O With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is less than this value. O 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. O With 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around this value. What, if any, assumptions did you make about the distribution of proportional limit stress? O We must assume that the sample observations were taken from a normally distributed population. O We do not need to make any assumptions. O we must assume that the sample observations were taken from a uniformly distributed population. O We must assume that the sample observations were taken from a chi-square 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.) MPa Interpret this bound. O If this bound is calculated for sample after sample, in the long run 95% of these bounds will be centered around this value for the corresponding future values of the proportional limit stress of a single joint of this type. If this bound is calculated for sample after sample, in the long run 95% of these bounds will provide a higher bound for the corresponding future values of the proportional limit stress of a single joint of this type. O If this bound is calculated for sample after sample, in the long run, 95% of these bounds will provide a lower bound for the corresponding future values of the proportional limit stress of a single joint of this type. You may need to use the appropriate table in the Appendix of Tables to answer this question.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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