Posted on January 10, 2010.
I need help with the null and alternative I need to define the null and alternative hypothesis for the following problem.
A nursery would like to confirm that performance is rewarded. It therefore shares the data on wages in both samples, the employees whose average score is 5 or less and those who reach an average of over 5. Ten employees from falling into the first category and 14 of the 2nd.
We are given a list of salaries of 24 employees and performance evaluations.
How do I create these assumptions? And is it a tail or two? etc.? etc.?
We try to compare the salaries here.
Let μ1 = average wage of workers with a score of 5 or less
Let μ2 = average wage of workers with a score of more than 5
We hope that the more powerful they are, the more their salary is (better performance is rewarded).
Ho: μ1 μ2 = (assuming true first)
Ha: μ1 <μ2
Because Ha is μ1 μ2 <, this must be one-sided test. You can then do a test (z or t, depending on whether you know the true population mean / and standard deviation or not) to see if you can refuse or fail to reject Ho, then the state your conclusion.
[Answer: see above]
