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Research and development has designed a ball point pen so that the true average writing lifetime under controlled conditions (involving the use of a writing machine)is at least 12 hours.A random sample of 18 pens is selected,the writing lifetime of each is determined,and a normal probability plot of the resulting data supports the use of a one-sample t test.
-What conclusion is appropriate for the hypotheses H0 : μ = 12 against H1 : μ < 12,and the test statistic t = -2,and α = .01?


Definitions:

Mode

The value that appears most frequently in a data set, representing the most common outcome.

Variation

The occurrence of differing or changing characteristics within a species, population, or process, often leading to evolutionary adaptations or improvements in a species’ ability to survive.

Correlation Coefficient

A numerical measure that indicates the extent to which two variables fluctuate together.

Psychology Exam

A formal assessment that evaluates an individual's knowledge and understanding of psychology concepts, theories, and practices.

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