It appears that you might have a problem that is asking what conditions must be met in order to test a claim about a population mean. Remember, that a z test is only good when the standard deviation is known (it is), and the original population is normally distributed. Also, your text may suggest that the sample size be above a certain level to justify a test.
Other than this, Its not quite clear from your post what else should be done.
Hope this helps.
~Matt





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