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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Aluminum Bottles The aluminum bottle, first introduced in

Chapter 11, Problem 22AYU

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QUESTION:

Problem 22AYU

Problem

Aluminum Bottles The aluminum bottle, first introduced in 1991 by CCL Container for mainly personal and household items such as lotions, has become 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 following information regarding the time (in minutes) required to chill a bottle of beer from room temperature (75°F) to serving temperature (45°F). Construct and interpret a 90% confidence interval for the mean difference in cooling time for clear glass versus aluminum.

 

Clear Glass

Aluminum

Sample size

42

35

Mean time to chill

133.8

92.4

Sample standard deviation

9.9

7.3

Questions & Answers

QUESTION:

Problem 22AYU

Problem

Aluminum Bottles The aluminum bottle, first introduced in 1991 by CCL Container for mainly personal and household items such as lotions, has become 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 following information regarding the time (in minutes) required to chill a bottle of beer from room temperature (75°F) to serving temperature (45°F). Construct and interpret a 90% confidence interval for the mean difference in cooling time for clear glass versus aluminum.

 

Clear Glass

Aluminum

Sample size

42

35

Mean time to chill

133.8

92.4

Sample standard deviation

9.9

7.3

ANSWER:

Answer :

Step 1 :

           Given the data consists,A small brewery tests this claim and obtains the following information regarding the time (in minutes) required to chill a bottle of beer from room temperature (75°F) to serving temperature (45°F). Construct and interpret a 90% confidence interval for the mean difference in cooling time for clear glass versus aluminum.

 

 

   Clear glass

 Aluminum

      n

  42

  35

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