Question
a) The weight of a particular type of machine component is normally distributed with a standard deviation of 5 g. A machine specialist has conducted
a) The weight of a particular type of machine component is normally distributed with a standard deviation of 5 g. A machine specialist has conducted a study to investigate the mean weight of this type of machine component after a new manufacturing technique was implemented. A random sample of 110 machine components was selected and the mean weight was found to be 5 g. Of the selected sample, 65 components have an increase in weight.
(i) Construct a 96% confidence interval for the true mean weight of all machine components of this type after the new manufacturing technique was implemented. (5 marks)
(ii) The specialist perceives that the proportion of machine components with an increase in weight after the implementation of new manufacturing technique is 75%. Can we conclude at 1% significance level that the specialist is incorrect? (9 marks)
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Modern Business Statistics With Microsoft Excel
Authors: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
6th Edition
9781337115186
