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A random sample was taken of 27 concrete beams produced by a certain manufacturer. Each beam...

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Statistics

A random sample was taken of 27 concrete beams produced by acertain manufacturer. Each beam in the sample was weighed (in Kg)to assess whether the concrete content was up to industrystandards.Sample mean=68.4, Standard Deviation=2.6.

Construct a 95% confidence interval for the true average weightof concrete beams coming from this manufacturer. Interpret thisconfidence interval in the form of a sentence.The manufacturerclaims that their manufacturing process is calibrated to produceaverage beam weights that satisfy the industry requirement of (atleast) 69.5Kg per beam.Test the validity of the manufacturer’sclaim using the data collected. Summarise your findings in the formof a probability statement, and write your conclusions in a waythat is understandable to a quality control officer.Assess thevalidity of the assumptions needed to carry out thecalculations.

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