Random Samples Were Selected from Three Populations A Compute the Overall Mean

question 136

Essay

Random samples were selected from three populations. The data obtained are shown below. Please note that the sample sizes are not equal.
$\begin{array}{lll}\text { Treatment } 1&\text { Treatment } 2&\text { Treatment } 3\\37 & 43 & 28 \\33 & 39 & 32 \\36 & 35 & 33 \\38 & 38 & \\& 40 &\end{array}$
a. Compute the overall mean .
b. At 95% confidence using the critical value and p-value approach, test to see if there is a significant difference among the means.

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Definitions:

Random Sample

A sample of participants that fairly represents the population because each member of the population had an equal chance of being included.

Convenience Sample

A sampling technique where participants are selected based on their easy accessibility and proximity to the researcher.

Experiment

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact by controlling and varying variables.

Random Sampling

A method of selecting a sample from a statistical population in such a way that every possible sample has an equal chance of being chosen.