The aluminum bottle is popular with beverage manufacturers. Besides being lightweight and requiring less packaging, the aluminum bottle is reported to cool faster and stay cold longer than typical glass bottles. A small brewery tests this claim and obtains the results shown below. The table contains the mean time required to chill a bottle of beer from 75F to 45 F and standard deviation - both in minutes. Sample Size : 41 , 35Mean time chill (min) : 133.8, 92.4 Standard Deviation (min) : 9.9, 7.3Clear Glass 42 133.8, 9.9 and Aluminum 35, 92.4, 7.3

d. Test the hypothesis aluminum bottles cool faster than glass, use a = .01 Ho: e. t-stat = p-value = f. Conclusion: g. Interpret the conclusion