Answer:
Correct option:
"z requires that you know the population standard deviation σ which may be unrealistic."
Step-by-step explanation:
The hypothesis test for significant population mean <em>μ</em> can be done either using the <em>z</em>-distribution of <em>t</em>-distribution.
Both the distribution require certain conditions to be fulfilled to use.
For using a <em>z</em>-distribution to perform a hypothesis test for <em>μ</em> the conditions to fulfilled are:
- Population is Normally distributed.
- The population standard deviation is known.
- The sample selected is large.
For using a <em>t</em>-distribution to perform a hypothesis test for <em>μ</em> the conditions to fulfilled are:
- Population is Normally distributed.
- The sample selected is randomly selected.
If the population standard deviation is not known and we have to compute the sample standard deviation then use the <em>t</em>-distribution to perform the test for population mean.
Thus, the correct option is:
"z requires that you know the population standard deviation σ which may be unrealistic."
