Onesample z test
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Key Questions

The simplest way to explain it is that to do a z test rather than a t test, you need a large enough sample size. For most introductory level classes, that means n is at least 30.
Fewer than 30 things/people sampled means that you don't have enough data to use the z test.

Is it onepopulation z test? Because we cannot have one sample only in stat experiments. In z test, it is preferable to have n>= 30. We have the formula, z= (computed mean  hypothesized mean) divided by the standard error. SE(standard error) = standard deviation/n.

No. You should use student's ttest.
I'm assuming the population has a normal distribution. The statistic used in the ztest rely on the population standard deviation, so you should use student's ttest, wich depends on the sample standard deviation instead.
The statistic for student's ttest is
#\frac{\barX  \mu_0}{S/\sqrtn# , wich has a t distribution with#n1# degrees of freedon.Also note that since the tdistribution converges to a normal distribution when
#n# goes to infinite, if you have a large sample, you can perform ttest similar to the ztest, as the test statistic will have normal distribution.
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