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

The local electronics store is offering a promotion "1-year: same as cash," meaning that you can buy a tv now, and wait a year to pay (with no in

Recently, verizon wireless ran a pricing trial in order to estimate the elasticity of demand for its services. the manager selected three states that were representative of its entire service area and increased prices by 5 percent to customers in those areas. one week later, the number of customers enrolled in verizon's cellular plans declined 4 percent in those states, while enrollments in states where prices were not increased remained flat. the manager used this information to estimate the own-price elasticity of demand and, based on her findings, immediately increased prices in all market areas by 5 percent in an attempt to boost the company's 2016 annual revenues. one year later, the manager was perplexed because verizon's 2016 annual revenues were 10 percent lower than those in 2015"the price increase apparently led to a reduction in the company's revenues. did the manager make an error? yes - the one-week measures show demand is inelastic, so a price increase will decrease revenues. yes - the one-week measures show demand is elastic, so a price increase will reduce revenues. yes - cell phone elasticity is likely much larger in the long-run than the short-run. no - the cell phone market must have changed between 2011 and 2012 for this price increase to lower revenues.

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