In: Statistics and Probability
The average life of 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? The obtained statistic: 1.698
a. What type of test should you use?
b. Please provide, in words, the null and alternative hypotheses.
c. Using an alpha level of .05 identify the critical value(s).
d. Using the above test statistic, alpha level and critical value(s) what is your statistical decision?
e. State your conclusion regarding the results from this test in language that a friend of yours with no knowledge of statistics could understand