In: Statistics and Probability
It was determined this year’s bonus would be based on whether or
not the team’s sales figures were significantly greater than the
forecasted number. That is, if the mean sales for the team are
significantly greater than a known standard (a value already known;
gold standard) they will get their bonus. What would be the most
appropriate analysis to run?
a. Independent Samples t-test
b. ANOVA
c. One-sample t-test
d. Repeated Measures/Dependent Samples t-test
If the mean sales for the team are significantly greater than a known standard (a value already known; gold standard) they will get their bonus.
One sample t test is used when we want to test population mean is significantly different than any hypothetical value. In given example , we want to study mean sales for the team are significantly greater than a known standard .Known standard will be a hypothetical value. So we will use One sample t test analysis to run.
Option “C” is correct answer.
Other options:
Independent sample t test: When we have two independent samples and we want to do comparison between two population by using their sample means ,we use independent sample test.
example : Height of 10th student from one school and height of 10th student from other school. Mean height of 10th student from one school is different from other school.
Dependent sample t test:
When we compare two population for after ,before values we use dependent sample t test. When both samples are dependent.
1.the effect of medicine on well being depressed individual and 2.before applying medicine on well being depressed individual.
We will compare before and after samples in this case, which is calculated by difference between time 2 and time 1. So, we use dependent sample t-test in such a situation.
ANOVA: It is use to find significance between the means of two or more independent variable.