Each Year the Personnel Department in a Large Corporation Assesses

Essay

Each year the personnel department in a large corporation assesses the performance of all of its employees. Each employee is rated for various aspects of his or her job on a 7-point scale where
1 = very unsatisfactory and 7 = satisfactory. The president of the company believes that the assessment scores this year are lower than last year's. To examine the validity of this belief, she draws a random sample of six employees' scores from last year and another six employees' scores this year. Do the data listed below allow the president to conclude at the 5% significance level that her belief is correct? $$\begin{array} { | c | c | } \hline \text { Employees Ratings Scores } \\\hline \text { This Year } & \text { Last Year } \\\hline 5 & 5 \\\hline 6 & 5 \\\hline 4 & 3 \\\hline 5 & 3 \\\hline 5 & 4 \\\hline 4 & 3 \\\hline\end{array}$$