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Explain why it is not appropriate to perform a paired ttest about the true mean difference (Male − Female) in literacy rates in Islamic countries.

Short Answer

Expert verified

All the conditions are not satisfied since the random condition and large sample is not satisfied and it is therefore not appropriate to determine the confidence interval for the population mean difference.

Step by step solution

01

Step 1. To find

Here we have to find why it is not appropriate to perform a paired t test about the true mean difference (Male − Female) in literacy rates in Islamic countries.

02

Step 2. Explanation

To answer the question we must find out if the three conditions are satisfied or not, which is as:

Random: It is not satisfied because the samples included largely Muslim nations and thus the small nations were ignored which implies no random sample.

Independent: It is satisfied because the sample of Muslim nations is less than of all population of Muslim nations.

Normal: It is not satisfied because the sample is not large and the distribution is not approximately Normal.

Thus, all the conditions are not satisfied since the random condition and large sample is not satisfied and it is therefore not appropriate to determine the confidence interval for the population mean difference.

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