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thedrunkmind thedrunkmind
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A year ago
When two independent random samples of sizesn1andn2have been selected from populations with meansμ1andμ2and variances\(\style{font-family:Times New Roman;}{\sigma_1^2}\)and\(\style{font-family:Times New Roman;}{\sigma_2^2,}\)which of the following statements is true?


If the sampled populations are normally distributed, then the sampling distribution of\(\style{font-family:Times New Roman;}{{\overline x}_1-{\overline x}_2}\)is exactly normal only whenn1andn2are both at least 30.



If the sampled populations are normally distributed, then the sampling distribution of\(\style{font-family:Times New Roman;}{{\overline x}_1-{\overline x}_2}\)is normal regardless of the sample sizes.



If the sampled populations arenotnormally distributed, then the sampling distribution of\(\style{font-family:Times New Roman;}{{\overline x}_1-{\overline x}_2}\)is normal regardless of the sample sizes.



If the sampled populations are normally distributed, then the sampling distribution of\(\style{font-family:Times New Roman;}{{\overline x}_1-{\overline x}_2}\)is approximately normal only ifn1+n2≥ 30.

Textbook 
Introductory Statistics: A Problem-Solving Approach

Introductory Statistics: A Problem-Solving Approach


Edition: 3rd
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Kmc14Kmc14
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