The mean productivity rating for all employees at a company

The mean productivity rating for all employees at a company was 3.8 on a five point scale last year. This year you get ratings from a representative sample of fifteen employees from the Human Research Management. Do the data from this sample provide evidence that employee productivity in the department of Human Resource Management is significantly higher than in the company as a whole? Write the null and alternative hypotheses for this problem. Please use SPSS to test the null hypothesis stated above. Please provide a sentence in APA format for a results section that states the conclusion the investigator is entitled to draw.

Scores: 4.1, 3.9, 3.5, 4.0, 4.4, 4.3, 4.2, 4.5, 3.9, 3.6, 4.2, 4.4, 4.1, 4.3,

Solution

Null Hypothesis: The data from this sample do not provide evidence that employee productivity in the department of HR Management and the Company are equal.

Alternative hypothesis :The data from this sample provide evidence that employee productivity in the department of Human Resource Management is significantly higher than in the company as a whole

One-Sample Statistics              
   N   Mean   Std. Deviation   Std. Error Mean
Scores   14   4.1000   .29613   .07914

One-Sample Test                      
   Test Value = 3.8                  
   t   df   Sig. (2-tailed)   Mean Difference   95% Confidence Interval of the Difference  
                   Lower   Upper
Scores   3.791   13   .002   .30000   .1290   .4710

t statistic value is 3.791 and p-value is 0.002<0.05. hence conclude that employee productivity in the department of Human Resource Management is significantly higher than in the company as a whole