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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 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. (b) Construct a 95% confidence interval for part (a). (c) 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.

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 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. (b) Construct a 95% confidence interval for part (a). (c) 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 i-Butyl alcohol (mg/100ml) Rhine 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. (b) Construct a 95% confidence interval for part (a). (c) 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. (d) Construct a 95% confidence interval for part (c). (e) If you were to provide a report to the investigators which of the above results would you include and why?
Transcribed Image Text: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 i-Butyl alcohol (mg/100ml) Rhine 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. (b) Construct a 95% confidence interval for part (a). (c) 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. (d) Construct a 95% confidence interval for part (c). (e) If you were to provide a report to the investigators which of the above results would you include and why?
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