Aluminum Bottles: The aluminum bottle, first introduced in 1991 by CCL Container for personal and household items, has become popular with beverage manufacturers. It is lightweight, requires less packaging and it is reported that the aluminum bottle cools faster and stays cold longer than typical glass bottles. A small brewery tests this claim and obtains the results shown below regarding the time (in minutes) required to chill a bottle of beer from room temperature (75 degrees) to serving temperature (45 degrees). Test the claim that the aluminum bottle cools faster at the 0.05 significance level.
Clear Glass Bottle: n = 42, \(\bar{x}\) = 133.8 minutes,s = 9.9 minutes
Aluminum Bottle: n = 35, \(\bar{x}\) = 92.4 minutes,s = 7.3 minutes
State the type of test that is appropriate for the problem and why.
Explain how each of the Requirements are met for this problem.
State the question you are investigating.
Write the Null and Alternative hypothesis in symbols (use correct symbols).
Use the Calculator or other technology (SHOW WORK)
Include in your answer the type of test and values you entered
Include your results (test statistic, p - value)
Include reject or fail to reject the null hypothesis
Write your conclusion in terms of the problem context (and the p - value).
Find the appropriate confidence interval that matches the test and significance level for each problem. One - tailed test confidence level is 1 - 2(significance level) and two - tailed test confidence level is 1 - significance level.
Explain how the results of the confidence interval support your hypothesis test conclusion in STEP