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A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.59 MPa and a sample standard deviation of 0.71 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.) MPa Interpret this bound. O With 95% confidence, we can say that the value of the true mean proportional limit stress 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 centered around this value. 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? O We must assume that the sample observations were taken from a normally 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 uniformly distributed population. We do not need to make any assumptions. (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. 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. 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

A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.59 MPa and a sample standard deviation of 0.71 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.) MPa Interpret this bound. O With 95% confidence, we can say that the value of the true mean proportional limit stress 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 centered around this value. 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? O We must assume that the sample observations were taken from a normally 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 uniformly distributed population. We do not need to make any assumptions. (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. 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. 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.59 MPa and a sample standard deviation of 0.71 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.) MPa Interpret this bound. O With 95% confidence, we can say that the value of the true mean proportional limit stress 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 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 greater than 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 must assume that the sample observations were taken from a chi-square distributed population. O We must assume that the sample observations were taken from a uniformly distributed population. O We do not need to make any assumptions. ▸ (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 provide a lower bound 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 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
Transcribed Image Text:A sample of 12 joint specimens of a particular type gave a sample mean proportional limit stress of 8.59 MPa and a sample standard deviation of 0.71 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.) MPa Interpret this bound. O With 95% confidence, we can say that the value of the true mean proportional limit stress 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 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 greater than 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 must assume that the sample observations were taken from a chi-square distributed population. O We must assume that the sample observations were taken from a uniformly distributed population. O We do not need to make any assumptions. ▸ (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 provide a lower bound 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 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
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