A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of
coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II
coffee. The following summary data (sample statistics) are collected?
nį = 10
x, = 23
S1 = 3
Brand I Brand II
n2 = 12
x2 = 25
S2 = 4
Assume that the two populations are normally distributed.
A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine
between the 2 brands of coffee.
B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in
2 brands of coffee.
C. Does the result in part b) confirm your findings from part a)?
Transcribed Image Text:1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
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