The compressive strength of concrete is being tested by a civil engineer who tests 1 2 specimens and obtains the following data table Concrete Strength, psi , 3 8 9 1 , 4 0 2 2 , 3 9 5 2 , 3 8 5 7 , 3 9 9 0 , 4 0 3 9 , 3 9 9 1 , 3 9 7 8 , 4 0 5 1 , 3 9 4 6 , 4 1 8 5 , 4 0 4 9 The concrete has been designed to have a strength no less than 4 0 0 0 psi Part 1 ( a ) Generate and summarize appropriate descriptive statistics for this dataset ( b ) Check the assumption that the data is normally distributed Include graphical display ( s ) in your answer You may use MiniTab to generate the graphical displays ( c ) Let represent the true compressive strength of the concrete Select an appropriate method to construct a one sided confidence interval Provide a justification for your method selection ( d ) Construct the one sided confidence interval selected in ( c ) Provide hand calculations and verify your result using MiniTab ( e ) Use the results of ( d ) to reach a conclusion Do you think the strength specification of 4 0 0 0 psi is being met As an engineer, would you allow this concrete to be used in a constryction project If not, discuss how Part 2 Reconsider the problem above using a hypothesis test rather than a confidence interval ( a ) Clearly state the hypothesis to be tested ( b ) Select an appropriate method to construct a one sided confidence interval ( c ) Follow the standard hypothesis test procedure demonstrated in class Show your work for all steps and verify your result using MiniTab ( d ) Use the results of ( c ) to reach a conclusion Do you reach the same conclusion reached in Part 1 ( e )

Question

The compressive strength of concrete is being tested by a civil engineer who tests 1 2 specimens and obtains the following data     table     Concrete Strength, psi   ,   3 8 9 1 , 4 0 2 2 , 3 9 5 2 , 3 8 5 7   ,   3 9 9 0 , 4 0 3 9 , 3 9 9 1 , 3 9 7 8   ,   4 0 5 1 , 3 9 4 6 , 4 1 8 5 , 4 0 4 9     The concrete has been designed to have a strength no less than 4 0 0 0 psi   Part 1 ( a ) Generate and summarize appropriate descriptive statistics for this dataset  ( b ) Check the assumption that the data is normally distributed  Include graphical display ( s ) in your answer  You may use MiniTab to generate the graphical displays  ( c ) Let represent the true compressive strength of the concrete  Select an appropriate method to construct a one   sided confidence interval  Provide a justification for your method selection  ( d ) Construct the one   sided confidence interval selected in ( c )   Provide hand calculations and verify your result using MiniTab ( e ) Use the results of ( d ) to reach a conclusion  Do you think the strength specification of 4 0 0 0 psi is being met  As an engineer, would you allow this concrete to be used in a constryction project  If not, discuss how Part 2 Reconsider the problem above using a hypothesis test rather than a confidence interval  ( a ) Clearly state the hypothesis to be tested  ( b ) Select an appropriate method to construct a one   sided confidence interval  ( c ) Follow the standard hypothesis test procedure demonstrated in class  Show your work for all steps and verify your result using MiniTab  ( d ) Use the results of ( c ) to reach a conclusion  Do you reach the same conclusion reached in Part 1 ( e )

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The compressive strength of concrete is being tested by a civil engineer who tests 1 2 specimens and obtains the following data: table [

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1 Understanding Responsive Design Principles

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