Iculate 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 ret this bound. th 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is greater than this value. th 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around this value. th 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is less than this value. if any, assumptions did you make about the distribution of proportional limit stress? e do not need to make any assumptions. e must assume that the sample observations were taken from a uniformly distributed population. e must assume that the sample observations were taken from a chi-square distributed population. e must assume that the sample observations were taken from a normally distributed population. Iculate 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

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A sample of 11 joint specimens of a particular type gave a sample mean proportional limit stress of 8.43 MPa and a sample standard deviation of 0.74 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.)
7.93
XMPa
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.
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.
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.
What, if any, assumptions did you make about the distribution of proportional limit stress?
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.
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.)
MPa
Transcribed Image Text:A sample of 11 joint specimens of a particular type gave a sample mean proportional limit stress of 8.43 MPa and a sample standard deviation of 0.74 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.) 7.93 XMPa 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. 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. 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. What, if any, assumptions did you make about the distribution of proportional limit stress? 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. 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.) MPa
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