A consulting firm was tasked to design a system to be used to control a clients'...

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A consulting firm was tasked to design a system to be used to control a clients' manufacturing processes. The design specification indicates the variance for the process should not exceed 6 and corrective action must be taken whenever the process was not operating satisfactorily in order to eliminate the problem. Suppose the following sample data was collected and provided to the consulting firm. 115 116 119 120 121 120 122 119 123 117 116 120 113 118 120 115 REQUIRED: (1) Conduct a hypothesis test at the 0.05 level of significance and determine what action, if any, should be taken. (ii) Develop a 95% confidence interval estimate for the standard deviation. A consulting firm was tasked to design a system to be used to control a clients' manufacturing processes. The design specification indicates the variance for the process should not exceed 6 and corrective action must be taken whenever the process was not operating satisfactorily in order to eliminate the problem. Suppose the following sample data was collected and provided to the consulting firm. 115 116 119 120 121 120 122 119 123 117 116 120 113 118 120 115 REQUIRED: (1) Conduct a hypothesis test at the 0.05 level of significance and determine what action, if any, should be taken. (ii) Develop a 95% confidence interval estimate for the standard deviation.