RES 341 Week 5
A random sample of 21 nickels measured with a very accurate micrometer showed a mean diameter
of 0.834343 inches with a standard deviation of 0.001886 inches.
a) Why would nickeldiameters vary?
b) Construct a 99 percent confidence interval for the true mean diameter of anickel.
c) Discuss any assumptions that are needed.
d) What sample size would ensure an error of± 0.0005 inches with 99 percent confidence?
(Data are from a project by MBA student BobTindall.)
NBC asked a sample of VCR owners to record “Late Night with David Letterman” on their VCRs.
Of the 125 VCR owners surveyed, 83 either “gave up or screwed up” because they did not understand
how to program the VCR.
(a) Construct a 90 percent confidence interval for the true proportionof VCR owners who cannot program their VCRs.
(b) Would viewers of this program betypical of all television viewers? Explain. (Data are from Popular Science 237, no. 5, p. 63.)
Machines have set tolerances and low tolerances are expensive. Wear and tear? In other word The diameters vary in size due to the machinery which manufactures the coins. There is variation (standard deviation) which causes these small differences.