A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the research and development division of the shoe company claims to have developed a longer lasting product. This new product was worn by 30 individuals and lasted on average for 17 months. The variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. Is the designer's claim of a better shoe supported by the trial results? a) What would be the null hypothesis and alternative hypothesis in this study?   b) What is your tcrit (t critical value)?   c) Is there a significant difference between the two groups?     d) Interpret your answer.       e) Write out your t-value in APA format. *ANSWER ALL PARTS OF THE QUESTION

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the research and development division of the shoe company claims to have developed a longer lasting product. This new product was worn by 30 individuals and lasted on average for 17 months. The variability of the original shoe is estimated based on the standard deviation of the new group which is 5.5 months. Is the designer's claim of a better shoe supported by the trial results?

a) What would be the null hypothesis and alternative hypothesis in this study?

 

b) What is your tcrit (t critical value)?

 

c) Is there a significant difference between the two groups?

 

 

d) Interpret your answer.

 

 

 

e) Write out your t-value in APA format.

*ANSWER ALL PARTS OF THE QUESTION*

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