Anderset Laboratories produces rough lenses that will ultimately be ground into precision lenses for use in laboratory equipment. The company has developed the following thickness measures, based on 15 samples of four lenses that were taken when the process was under control: MEAN (MICRONS)
(n4) 3.900 4.206 4.214 3.890 4.036 4.134 3.037 5.082 3.404 5.246 4.197 4.312 4.302 3.867 4.170 MINIMUM 3.617 3.971 4.062 3.749 3.501 3.543 2.935 3.797 2.837 5.106 4.085 3.949 3.989 3.617 4.046
MAXIMUM 3.989 4.302 4.400 3.937 4.084 4.584 3.929 5.695 4.255 6.382 4.239 4.356 4.400 3.900 4.206
a) Use these data to calculate X and R and set up the
b) Can the process be "under control" in statistical
c) Suppose Anderset laboratories takes some appropriate control charts. terms but still fail to meet the needs of AnderSet's cus- tomers?
Explain, using a numerical example. additional samples of the same size, yielding the following results. Plot these samples on the control charts and circle any observations that appear to be out of control

He taylor company sells music systems. each music system costs the company $100 and will be sold to the public for $250. in year one, the company sells 100 gift cards to customers for $250 each ($25,000 in total). these cards are valid for just one year, and company officials expect them to all be redeemed. in year two, only 96 of the cards are returned. what amount of net income does the company report for year two in connection with these cards? a. $15,000b. $15,400c. $15,500d. $15,800

An important application of regression analysis in accounting is in the estimation of cost. by collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. consider the following sample of production volumes and total cost data for a manufacturing operation. production volume (units) total cost ($) 400 4000 450 5000 550 5400 600 5900 700 6400 750 7000 compute b 1 and b 0 (to 2 decimals if necessary). b 1 b 0 complete the estimated regression equation (to 2 decimals if necessary). = + x what is the variable cost per unit produced (to 1 decimal)? $ compute the coefficient of determination (to 4 decimals). note: report r 2 between 0 and 1. r 2 = what percentage of the variation in total cost can be explained by the production volume (to 2 decimals)? % the company's production schedule shows 500 units must be produced next month. what is the estimated total cost for this operation (to 2 decimals)? $

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