In: Statistics and Probability
What impacted the reps' average weekly performance to be greater than the population mean?
If we use t-test to test the hypothesis. Your question is what impacts the weekly performance to be greater than the population mean.
So, the t-value formula is
Suppose we take the level of significance to be 5% then the t-(tabulated) value for different degree of freedom is stated below.(see the table below)
Now for the IMPACT,
(only if the t-value rule applies) If the difference is greater than the denominator then this will impact the weekly performance to be greater than the population mean as difference states the strength and denominator states the variation of the population. From this we can find the t-statistic value and if t-statistic > t-tabulated value then we reject the null hypothesis that the weekly performance is equal to the population mean which implies that we accept the alternative hypothesis that is the weekly performance is greater than the population mean .