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Suppose we have a random sample of n = 15 measurements from a population having population median M. The research design calls for a 95% confidence interval on M.
a. Use Table 4 in the Appendix to obtain La2 and Ua2.
b. Use the large-sample approximation to determine La2 and Ua2. Compare these values to the values obtained in part (a).
Generalize the above result to show that if {fi; i ∈ I} is a family of convex functions and supi ∈ I fi(x) ∞ for every x then supi∈I fi is also a convex function.
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A student takes the campus shuttle bus to reach the classroom building. The shuttle bus arrives at his stop every 15 minutes but the actual arrival time at the stop is random. The student allows 10 minutes waiting time for the shuttle in his plan ..
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What assumption about the population distribution is needed in order to conduct the t test in (a)?
Set up a null and alternative hypothesis to test whether this sample is falling below expectations.
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