STATISTICAL TECHNIQUES AND TOOLS
TESTS OF SIGNIFICANCE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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. Which of the following is not a required condition for performing a t-test about an unknown population mean µ?
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The data can be viewed as a simple random sample from the population of interest.
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The population standard deviation is known.
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The population distribution is Normal or the sample size is large (say n > 30).
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The data represent n independent observations.
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All four of the other conditions are required.
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Explanation:
Detailed explanation-1: -The conditions required to conduct a t-test include the measured values in ratio scale or interval scale, simple random extraction, homogeneity of variance, appropriate sample size, and normal distribution of data.
Detailed explanation-2: -If the sample size is small (less than 15), the one-sample t-test should not be used if the data are clearly skewed or the outliers are present. Nonparametric test can be performed. If the sample size is moderate (at least 15), the one-sample t-test should not be used if there are severe outliers.
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