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         84.0

Which of the following is the correct decission?

A. There is definitely a prolem at plant 3

B. Plant 1 workers are more informed than plant 3 workers

C. None of the mean awareness scores are different

D. At least one of the mean awareness scores is different.

E. Between and within sums of squares are basically the same.

Solution

The alternative hypothesis of a one-way anova test is that

OPTION D: At least one of the mean awareness scores is different. [ANSWER]

As we reject the null hypothesis at 0.05 level, then this is the correct decision.