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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider the information given in Exercise 3 in Section 9.2, and apply the F test to test for the equality of the two variances against the two-sided alternative at level α = 0.05. What assumptions are needed for the validity of this test?
Exercise 3
A company is investigating how long it takes its drivers to deliver goods from its factory to a port for export. Records reveal that with a standard driving route, the last 48 delivery times have sample mean 432.7 minutes and sample standard deviation 20.38 minutes. A new driving route is proposed and this has been tried 34 times with sample mean 403.5 minutes and sample standard deviation 15.62 minutes. Is this sufficient evidence for the company to conclude, at α = 0.05, that the new route is faster than the standard one?
(a) State the null and alternative hypotheses. Is the test statistic in (9.2.14) appropriate for this data? Justify your answer.
(b) State which statistic you will use, test at level α = 0.05, and compute the p-value. What assumptions, if any, are needed for the validity of this test procedure?
(c) Construct a 99% CI for the difference in the two means.
(d) Use dd=read.table(”DriveDurat.txt”, header=T) to import the data set into the R data frame dd, then use R commands to perform the test and construct the CI specified in parts (b) and (c).
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