6) An antifreeze company has a machine that fills containers with antifreeze. The volume of antifreeze the machine puts into the containers is normally distributed. The company would like the mean volume of the antifreeze in the containers to be 64 ounces. However, as the machine is used the mean changes. The company's quality control department takes random samples of 12 containers and measures their volumes. If the mean volume of the antifreeze in the containers is different than 64 ounces at the 0.02 level of significance, the machine is stopped and adjusted. Otherwise, nothing is done. Here are the volumes in ounces of the containers in one sample. Use σ=.61.
65.3 , 64.2 , 64.9 , 64.6 , 65.8 , 63.7 , 64.5 , 64.3 , 64.8 , 64.1 , 65.1 , 63.7
Round everything to 3 decimals. In your answer, include the Null and Alternative Hypothesis, the corresponding bell curves and state your decision.