A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. A designer came with a new model of shoes which were worn by 15 individuals, and the lifetime of each of those pairs of shoes are given below: 15, 18, 17, 20, 16, 16.5, 15.5, 17.5, 19, 14, 21, 18.5, 16.5, 15, 14 a) State the appropriate hypotheses to test whether the lifetime of shoes are showing evidence of a longer lasting product than expected. b) Determine the mean and standard deviation for the lifetimes of the sample of shoes. c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. A designer came with a new model of shoes which were worn by 15 individuals, and the lifetime of each of those pairs of shoes are given below:
15, 18, 17, 20, 16, 16.5, 15.5, 17.5, 19, 14, 21, 18.5, 16.5, 15, 14
a) State the appropriate hypotheses to test whether the lifetime of shoes are showing evidence of a longer lasting product than expected.
b) Determine the mean and standard deviation for the lifetimes of the sample of shoes.
c) Test the hypotheses stated in part (a) at a 5% level of significance, and comment on your findings.
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