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A sample of 1.5 joint specimens of a particular type gave a sample mean proportional limit stress of 8.58 MPa and a sample standard deviation of 0.?5 MPa. (a) Calculate and interpret a 95% lower confidence bound for the true average proportional limit stress of all such joinls. (Round your answer to two decimal places.) Interpret this bound . 0 With 95% confidencer we can say that the value of the true mean proportional limit stress of all such joinls is greater than this value. 0 With 95% condence, we can say that the value of the true mean proportional limit stress of all such joinls is less than this value. 0 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. Whatr if any, assumptions did you make about the distribution of proportional limit stress? 0 We do not need to make any assumptions. 0 We must assume that the sample observations were taken from a normally distributed population. 0 We must assume that the sample observations were taken from a chi-square distributed population. 0 We must assume that the sample observations were taken from a uniformly distributed population. (b) Calculate and interpret a 95% lower prediction bound for proportional limit stress of a singlejoint of this type. (Round your answer to two decimal places.) Interpret this bound . D 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 singlejoint of this type. D If this bound is calculated for sample after sample, in the long runr 95% of these bounds will provide a lower bound for the corresponding future values of the proportional limit stress of a singlejoint of this type. 0 If this bound is calculated for sample after sampler 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 singlejoint of this type. You may need to use the appropriate table in the Appendix of Tables to answer this