Question

At a large company, the attitudes of workers are regularly measured with a standardized test. The...

  1. At a large company, the attitudes of workers are regularly measured with a standardized test. The scores on the test range from 0 to 100 with higher scores indicating greater job satisfaction. The mean score over all the company’s employees was 74 with a standard deviation of 8. A few years ago, the company adopted a telecommuting policy in which workers could spend one work day per week working from home. Recently, a SRS of 40 telecommuters had the following worker attitude scores. Assume the standard deviation of telecommuter scores is 8 as well.

                                    67  41  80  72  65  86  83  86  78  60
                                    90  80  78  74  67  96  81  85  73  62
                                    92  75  80  74  68  80  77  75  78  66
                                    80  79  78  79  81  86  75  83  78  82
    

    Can we conclude that mean telecommuter attitude score is different than the mean attitude score of all workers?

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