Drawing Inference About Population Means and Proportions

BHS220-Mod5 SLP
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Samples from the same population typically have different means, but statistical analysis helps to show whether the samples come from the same population. In order to make sense of differences and provide a way to compare the groups, it is necessary to rely on different comparison methods including the student t-test (Norman & Streiner, 2008). In the case of student, t-test, both the mean and the standard deviation are necessary to conduct statistical analysis. Upon establishing the tests statistic through and hypothesis testing it is possible to identify whether the hypothesis are correct so long as there are no errors made. This is a quantitative summary of findings on time spent exercising for fifteen days.
Figure 1: Summary graph of data
Data was collected on time spent exercising for fifteen days, beginning with ten days and subsequent five days. In order to ensure accuracy, it was necessary to rely on a stopwatch and a pedometer. The exercises incorporated both aerobic exercises and muscle strengthening activities. A further look into the central measures of tendency, for the two sessions separately and in combination, showed, that the range was still the same. Nonetheless, the role of skewness in the data did not feature, since the exercise was merely carried out after observation. In any case, the observed data would ordinarily differ from time to time rather than follow a predictable pattern. Even though, there were no big discrepancies, it is likely that if the exercises had not been carried out regularly, then the results would have been ever more divergent.
The sample was collected over fifteen days and recorded exercise time, but there is a need to collected more data as this would validate the results of the study. Additionally, a larger sample would have been more accurate in presenting the data and information. In any case, such data would likely have been less skewed if exercises were done regularly and not sporadically. An analysis of the two samples showed that the means were almost similar, and this was in line with the proposition that the two samples did in fact come from the same population, as shown by differences in their means. Despite the sample focusing on data results with the same characteristics, the results only took into account recorded time during morning sessions. The health status and daily schedule have a direct impact on time spent exercising, but there was no focus on the likely effect of health status in determining time spent exercising.
Ideally, there ought to be representative samples to avoid bi...