Answer :
The statement is true that is the z-statistic can be used as the basis for statistical inferences about the difference in two population.
Given that,
The z-statistic can be used as the basis for statistical inferences about the difference in two population means using two independent random samples if the sample sizes are small, the populations are normally distributed, and the population variances are known.
We have to find if the statement is true or false.
We know that,
We use a t-test for the difference of mean after assuming the population variance sigma is equal to the sample variance s.
we only can use z-test when n is not small unless the population variance is known.
Therefore, The statement is true that is the z-statistic can be used as the basis for statistical inferences about the difference in two population.
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