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.

If Lebo tests this
hypothesis against a significance level of α=0.01, what can she conclude about
the motivation level of small companies?

Question

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.

If Lebo tests this
hypothesis against a significance level of α=0.01, what can she conclude about
the motivation level of small companies?

Answer

The null hypothesis can be rejected, so it
follows that the motivation level is higher in larger companies than in smaller
ones.

Answer

The
null hypothesis can be rejected, so it follows that the motivation level is
higher in small companies than in larger ones

Answer

The alternative hypothesis is not valid, so
it follows that the motivation level is higher in small companies than in
larger ones.

Answer

The
null hypothesis cannot be rejected, so it follows that the motivation level is
no higher in small companies than in larger ones.

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