Exercise 11. The following data gives miles per gallon of a make of car before and after application of a newly developed gasoline additive. Before, x 17.2 21.6 19.5 19.0 22.0 After, y 18.3 20.8 20.9 21.2 22.7 mo, We assume that the treatment effect (i.e. difference) follows a symmetrical distribution with median (a) Using order statistics, find an estimate of mo and a confidence interval for mo which is closest to 95% level. (b) Find the Hodges-Lehman estimate of mo and construct a confidence interval for mo which is closest to 95% level by using Tukey's method.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Exercise 11.
The following data gives miles per gallon of a make of car before and after application of a newly developed
gasoline additive.
Before, x
17.2 21.6 19.5 19.0 22.0
After, y
18.3 20.8 20.9 21.2 22.7
mo,
We assume that the treatment effect (i.e. difference) follows a symmetrical distribution with median
(a) Using order statistics, find an estimate of mo and a confidence interval for mo which is
closest to 95% level.
(b) Find the Hodges-Lehman estimate of mo and construct a confidence interval for mo which
is closest to 95% level by using Tukey's method.
Transcribed Image Text:Exercise 11. The following data gives miles per gallon of a make of car before and after application of a newly developed gasoline additive. Before, x 17.2 21.6 19.5 19.0 22.0 After, y 18.3 20.8 20.9 21.2 22.7 mo, We assume that the treatment effect (i.e. difference) follows a symmetrical distribution with median (a) Using order statistics, find an estimate of mo and a confidence interval for mo which is closest to 95% level. (b) Find the Hodges-Lehman estimate of mo and construct a confidence interval for mo which is closest to 95% level by using Tukey's method.
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