A manufacturer of automobile shock absorbers was interested in comparing the durability of its shocks with that
Question:
a. Explain why the data arc collected as matched pairs.
b. Do the data present sufficient evidence to conclude that there is a difference in the mean strength of the two types of shocks after 20,000 miles of use? Use α = .05.
c. Find the approximate observed significance level for the test and interpret its value.
d. What assumptions are necessary to apply a paired difference analysis to the data?
e. Construct a 95% confidence interval for µd. Interpret the confidence interval.
f. Suppose the data are based on independent random samples. Construct a 95% confidence interval for (µ1 - µ2). Interpret your result.
g. Compare the confidence intervals you obtained in parts e and f. Which is wider? To what do you attribute the difference in width? Assuming in each case that the appropriate assumptions are satisfied, which interval provides you with more information about (µ1 - µ2)? Explain.
h. Are the results of an unpaired analysis valid if the data come from a paired experiment?
Step by Step Answer:
Statistics For Business And Economics
ISBN: 9780321826237
12th Edition
Authors: James T. McClave, P. George Benson, Terry T Sincich