As a basis for a brochure describing the speed of a new computer system, you have measured
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5, 6, 8, 11, 5, 8, 11, 10, 6, 10, 5, 9, 5, 5
a. Find the two-sided 95% confidence interval and describe its meaning in terms of the long-run mean performance of the system.
b. Find the appropriate one-sided 95% confidence interval, assuming you wish to show off how fast the system is (so that lower numbers are better).
c. Find the appropriate one-sided 90% confidence interval.
d. Find the appropriate one-sided 99% confidence interval.
e. Write a brief paragraph for an advertising brochure describing one (or more) of the preceding results. Be honest, but put your “best foot forward,” and write in ordinary English. Include a technical footnote if necessary so that technically knowledgeable people can tell what you really did.
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