Consistency and Sales Volume Comparision

Performance assessments require many relevant statistical tests in a given scenario. Some of the statistical indicators that are useful to quantify these output types include the mean, variance, standard difference, mode, median and graphical display of results. In these cases, the best performer will be the vendor with the highest average sales volume and the lowest standard deviation.
We equate the means with the average revenue for each salesperson. The appropriate statistical tool to use in this case is the One-Way ANOVA test. The test entails the formulation of the null and alternative hypothesis to determine whether the salespersons have different volumes of sales. So, our initial assumption is that the performances of all the salespersons are the same and they, therefore, have same means of their sales volume. The claim here is that the average sales of the salespersons are the same.
We, therefore, have the following hypothesis statement:
Null hypothesis, H0: The mean sales volume of all the salespersons are equal
Alternative hypothesis, H1: The mean sales volume of all the salespersons are unequal
From the hypothesis testing, the conclusion would determine the best performing salesperson. Having defined the problem and formulated the null and alternative hypothesis, we choose significance level. In this case, we are going to use alpha (α) =0.05 as the significance level. Next is the determination of the p-value and the rule for making a decision. The decision rule is that we are going to reject the null hypothesis if the p-value

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