Quarters are currently minted with weights having a mean of 5.670 g and a standard deviation of 0.062g. new equipment is being tested in an attempt to improve quality by reducing variation. a simple random sample of 24 quarters is obtained from thoes manufactured with the new equipment, and this sample has a standard deviation of 0.049g. use the sample results to construct a 95% confidence interval estimate of σ, the standard deviation of the weights of quarters made with the new equipment . based on the confidence interval,does the new equipment appear to produce a standard deviation that is clearly lower than the standard deviation of 0.062 g from the old equipment? based on the results, does the new equipment appears to be effective in reducing the variation of the weights?