quality control engineer was servicing a machine used for making Snickers that produces candy bar with a standard deviation of the weight to be 0.75 The engineer wants to know if recalibrating the machine will result in a standard deviation lower than 0.75. Test this

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A quality control engineer was servicing a machine used for making Snickers that produces candy bar with a standard deviation of the weight to be 0.75 The engineer wants to know if recalibrating the machine will result in a standard deviation lower than 0.75. Test this claim at α = 0.05  level of significance. Below is a sample of 11 candies that the engineer sampled after the recalibration

19.68   20.66   19.56    19.98    20.65    19.61   

20.55  20.36    21.02    21.50    19.74      

Find the test statistic and critical value used for this hypothesis. 

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