Agricultural Engineering 2025 – 400 Free Practice Questions to Pass the Exam

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What type of sample sizes is the T Test designed to analyze?

Large sample sizes

Small sample sizes

The T Test is specifically designed for analyzing small sample sizes, typically when the sample size is less than 30. This statistical method is used to determine if there are significant differences between the means of two groups, and it accounts for the increased variability that is often present in smaller samples.

When working with small samples, the T Test is used because it provides a more accurate estimation of the true population mean, especially when the distribution of the data is not perfectly normal. This is important in agricultural engineering and research contexts, where experiments may often be conducted with limited data points due to constraints like time, resources, or accessibility to land and subjects.

In contrast, larger sample sizes allow for the use of different tests, such as the Z Test, which assumes that the sampling distribution approaches normality and population parameters can be estimated more accurately as sample sizes increase. Thus, the T Test's formulation takes into account the degrees of freedom based on the sample size, making it a suitable choice for small samples in various research scenarios.

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Very large sample sizes

Multiple sample sizes

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