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

question 15

Multiple Choice

Samples were drawn from three populations. The sample sizes were $n _ { 1 } = 8 , n _ { 2 } = 7$ , and $n _ { 3 } = 5$ . The sample means were $\bar { x } _ { 1 } = 1.84 , \bar { x } _ { 2 } = 1.98$ , and $\bar { x } _ { 3 } = 1.72$ . The sample standard deviations were $s _ { 1 } = 0.43 , s _ { 2 } = 0.30$ , and $s _ { 3 } = 0.30$ . The grand mean is $\bar { x } = 1.859$ . Compute the value of the test statistic F.

• A) 0.782
• B) 2.194
• C) 0.101
• D) 0.202

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Definitions:

Pulling Effort

The force required to move or tow something, often measured to ensure the adequacy of a vehicle's towing capacity.

Force

Push or pull effort measured in units of weight. Force represents the ability to do work but this ability does not necessarily result in any work done; for instance, you can push all you like on a tractor/trailer combination but it is unlikely to move the vehicle. The formula for force (F) is calculated by multiplying pressure (P) by the area (A) it acts on. F=P*A.

Perfect Vacuum

A theoretical state where a space is completely devoid of matter, including air or any other gases, achieving a total absence of pressure.

Sealed Vessel

A container designed to be completely airtight, preventing the exchange of substances with its environment.