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Lebo claims that workers in large companies are less work motivated than wo...
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Lebo claims that workers in large companies are less work motivated than workers in small companies. In a previous study involving all large companies in South Africa, it was found that the average workers’ motivation score on a work motivation questionnaire (where a higher score indicates a higher level of work motivation) was 50 with a standard deviation of 15. Lebo plans to present the same questionnaire to a sample of workers from small companies to determine whether her suspicion is true.
After Lebo collected the responses on the work motivation questionnaire for an appropriate sample of 100 workers from small companies, she calculates the following sample parameters:
Sample size: n = 100
Mean motivation score for small companies:
Standard deviation of the motivation score for small companies: s = 12.5
Since the mean and standard deviation for large companies are given (as 50 and 15 respectively), Lebo decides to use a single-sample z-test (i.e. the z test statistic) to test whether the mean motivation scores for small companies differ significantly from the mean motivation scores for large companies.
Which of the following are closest to the calculated value of this statistic?