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

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.