if the populations are normally distributed but the population variances are unknown the z-statistic can be used as the basis for statistical inferences about the difference in two population means using two independent random samples. true false

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Troyawilliams5221idn Troyawilliams5221idn

01-12-2022
Mathematics

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if the populations are normally distributed but the population variances are unknown the z-statistic can be used as the basis for statistical inferences about the difference in two population means using two independent random samples. true false

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Fahiskt9087idn Fahiskt9087idn · Answer 1 · 2022-12-06T06:14:44-05:00

The given statement is false.

Given that,

The z-statistic can be used as the foundation for statistical inferences about the difference in two population means using two independent random samples if the populations are normally distributed but the population variances are unknown.

If the sample sizes are small, the populations are normally distributed, and the population variances are known, the z statistic can be used as the foundation for statistical inferences about the difference between two population means using two independent random samples.

Therefore, the above given statement can be concluded as false.

To learn more about random sample click here:

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