Samples Were Drawn from Three Populations $n _ { 1 } = 8 , n _ { 2 } = 7$

question 39

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 8 , n _ { 2 } = 7$ , and $n _ { 3 } = 6$ . The sample means were $\bar { x } _ { 1 } = 1.34 , \bar { x } _ { 2 } = 1.88$ , and $\bar { x } _ { 3 } = 1.26$ . The sample standard deviations were $s _ { 1 } = 0.34 , s _ { 2 } = 0.25$ , and $s _ { 3 } = 0.49$ . The grand mean is $\bar { x } = 1.497143$ . Compute the mean squares MSE.

• A) 1.5610
• B) 2.3847
• C) 0.1325
• D) 0.7805

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Definitions:

Soil Development

The process by which soil forms from the physical, chemical, and biological weathering of rocks and the accumulation of organic matter over time.

Temperature

A measure of the warmth or coldness of an environment or material, influencing geological processes.

Shearing Zones

Regions of the Earth's crust where rocks are subject to forces causing them to slide past one another, often associated with fault lines.

Different Ages

Refers to the variation in chronological periods or times at which different entities existed or events occurred.