National Computer Products Inc NCP manufactures printers and

National Computer Products, Inc (NCP) manufactures printers and fax machines at plants in Charlotte,Houston,and San Diego.To measure how much employees at these plants know about total quality management,a random sample of employees was selected from each plant and given a quality -awareness examination. The examination scores obtained for the employees and ANOVA A result are listed below.Use the output to answer the following questions at the 0.05 significance level

Analysis of Varience for Quality Awareness

Source     DF     SS           MS       F             P

Plant        2        516.0      258.0    9.00        0.003

Error       15        430.0       28.7

Total       17        946.0

Indivividual 95% Cls For Mean

Based on Pooled StDev

Level           N       Mean      StDev ------+-----------+----------------+-------------+----

Plant 1        6       79.000      5.831                    (-----------------)

Plant 2      6       74.000       4.472          (--------------)

Plant   3     6          66.000    5.657 (--------------)

                                     ------+-----------+-----------+-------+------

Pooled StDev = 5.354                    63.0       70.0   77.0 84.0

Which of the following is a true statement?

A There is no difference in quality awareness between plant 3 and plant 1

B There is a difference in quality awareness between plant 1 and plant 2

C There is a difference in quality awareness between plant 3 and plant 1

D There is a difference in quality awareness at plant 3,plant2,and plant 1.

E The mean scores amomg the 3 plants are too close to detect a difference

Solution

As we see, P < 0.05, so we reject the null hypothesis.

Thus, as we can see, the two groups with most different means is Plant 1 and Plant 3. They surely are the ones different.

Thus, OPTION A: There is no difference in quality awareness between plant 3 and plant 1 [ANSWER, OPTION A]