See Below week 6 - Essay Example

Statistics Affiliation Statistics. T statistic allows scientists to use example data to test hypotheses about an unknown populace mean. One of the advantage of the t statistic, is that the t statistic does not necessitate any knowledge of the population standard deviation (Salkind, 2006) Thus, the t statistic can be used to test hypotheses about an entirely unknown population; that is, both μ and σ are unknown. Thus the only available information about the population comes from the sample. A sample and a reasonable hypothesis about the population mean is all that is required in order for the hypothesis test to take place.

one of the scenario s where the t statistics is used is when a researcher wants to know whether or a treatment for a certain ailment administered by doctors can cause a change in a population mean. First, a sample from the population is obtained and treatment is administered. If the results from this sample population do not tally with those of the original population, then the investigator can conclude that the treatment actually has a significant effect. The difference between the actual mean and the sample mean indicates that the hypothesized value of μ should be rejected.

The main goal of this hypothesis test to the researcher is actually to evaluate the significance of the observable difference between the original sample mean and the population mean.it would be wrong of we make an assumption that the significant effect is large since the treatment effect is partly determined by size of the sample and partly by the size of the effect. It is therefore recommendable that a measure of effect of size be computed along with the assumption test. After completing the t statistic, there will be formation of a ratio.

The top part of the ratio indicates the obtained difference between the sample mean and the hypothesized population mean. The bottom of the ratio is the typical error which measures how much variance is expected by accidental. Finally, the movie would be more captivating by including mathematical calculations for better understanding.References.Salkind, D. (2006). Encyclopedia of Measurement and Statistics (1st ed.). Thousand Oaks: SAGE Publications.