METHODS OF DATA ANALYSIS
PARAMETRIC AND NON PARAMETRIC TESTS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The sample sizes are equal.
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Both population means are the same.
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The standard deviations are not the same.
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Both populations are normally distributed.
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Detailed explanation-1: -For testing data of two populations, data should not be dependent and the variable should be normally distributed and they have the same mean. t distribution test can be used to build confidence interval between two data sample mean. So, Here in the given question, the size of the samples need not be the same.
Detailed explanation-2: -A hypothesis test of two population means from independent samples where the population standard deviations are known will have these characteristics: Random variable: ¯X1−¯X2= the difference of the means. Distribution: normal distribution.
Detailed explanation-3: -The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.