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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