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?
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?
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 6 images
