A HR manager in a Global Corporation is interested in finding out whether newly hired Japanese managers are higher paid than their American counterparts. She randomly sampled 30 recently hired managers and recorded data concerning their salaries. The result of the pooled-variance t test of the mean salaries of the Japanese managers (Population 1) and the American managers (Population 2) in the sample is presented below. Referring to the table above, and taking into account the specified data given in each sub-question answer the question below: The HR manager was attempting to show statistically that the recently hired Japanese managers have a significantly lower mean salary than the recently hired American managers. What assumptions were necessary to conduct this hypothesis test? I. Both populations of salaries (Japanese and American) must have approximate normal distributions. II. The populations are related III. The population variances are approximately equal. IV. The samples were randomly and independently selected.
A HR manager in a Global Corporation is interested in finding out whether newly hired Japanese managers are higher paid than their American counterparts. She randomly sampled 30 recently hired managers and recorded data concerning their salaries. The result of the pooled-variance t test of the mean salaries of the Japanese managers (Population 1) and the American managers (Population 2) in the sample is presented below.
Referring to the table above, and taking into account the specified data given in each sub-question answer the question below:
The HR manager was attempting to show statistically that the recently hired Japanese managers have a significantly lower mean salary than the recently hired American managers. What assumptions were necessary to conduct this hypothesis test?
I. Both populations of salaries (Japanese and American) must have approximate
II. The populations are related
III. The population variances are approximately equal.
IV. The samples were randomly and independently selected.
- A.
I and III only.
- B.
II and III only.
- C.
All of these assumptions were necessary.
- D.
I , II and IV only.
- E.
I and II only.
- F.
I , III and IV only.
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