The manager of young corporation wants to determine or not the type of work schedule for her employees has an effect on thier productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each fo the proposed work schedules. The following table shows the units of production( per week) under each of the work schedules.                                        Work Schedule( treatments) work schedule 1                     work schedule 2                        work schedule 3     50.                                             60.                                               70      60                                              65                                                 75     70.                                              66                                                55      40                                              54                                                40      45.                                             57.                                                55 At  a 5% level of significance determine if there is a significant difference in the mean weekly units of production for the three types of schedules

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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The manager of young corporation wants to determine or not the type of work schedule for her employees has an effect on thier productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each fo the proposed work schedules. The following table shows the units of production( per week) under each of the work schedules. 

                                      Work Schedule( treatments)

work schedule 1                     work schedule 2                        work schedule 3

    50.                                             60.                                               70 

    60                                              65                                                 75

    70.                                              66                                                55

     40                                              54                                                40

     45.                                             57.                                                55

At  a 5% level of significance determine if there is a significant difference in the mean weekly units of production for the three types of schedules

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