MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A research study investigated the composition of wines from the Rhine and Moselle wine regions
of Germany. One component measured was the concentration of i-Butyl alcohol. The results of
the study are listed in the following table:
Region n i-Butyl alcohol (mg/100ml)
Rhine 9 ̄x =5.32,s =2.24
Moselle 14 ̄x =3.62,s =0.97
(a) Assume that the underlying population variances from the two regions are identical. At the
0.05 level of significance, test the null hypothesis that the mean concentration of i-Butyl
alcohol is the same for wines from the Rhine and Moselle regions.
Construct a 95% confidence interval
(b) Now assume that the underlying population variances from the two regions differ. At the 0.05
level of significance, test the null hypothesis that the mean concentration of i-Butyl alcohol is
the same for wines from the Rhine and Moselle regions, construct a 95% confidence interval
(c) If you were to provide a report to the investigators which of the above results would you
include and why?

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