A Logger Knows the Average Time for His Cutting Machine

question 235

Short Answer

A logger knows the average time for his cutting machine to cut 20 trees is 9.8 minutes. A new machine on the market claims to cut the trees in less than 9.8 minutes. A random sample of 25 test runs on the new machine yielded a mean of 8.5 minutes with a standard deviation of 1.5. Does the sample data suggest the new machine cuts faster than the logger's machine? Test at the = 0.05 level. Assume the cutting time is normally distributed and interpret your results.
Test Statistic = ______________
____________________________
The new machine ______________ cut faster than the logger's machine.

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Definitions:

Genetic Drift

Genetic drift refers to random fluctuations in the frequencies of alleles (variant forms of a gene) within a population, which can lead to the increase or decrease in certain traits over time.

Natural Selection

The process in which organisms better adapted to their environment tend to survive and produce more offspring, leading to the gradual evolution of species.

Molecular Variation

Differences at the molecular level among individuals, which can include variations in DNA sequences, genes, and proteins.

Genetic Bottleneck

A significant reduction in the genetic diversity of a population due to a large decrease in its size, potentially affecting its survival and evolution.