STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A population consists of 5 members. If samples of 3 are taken with replacement, how many possible samples are there?
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15
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243
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125
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10
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Explanation:
Detailed explanation-1: -Since 5 members need to be selected for the sample from a population of size 42, and the order of samples is not relevant, the combinations formula can be used here. Therefore 850, 668 simple random samples of size 5 can be obtained from a population whose size is 42.
Detailed explanation-2: -Sampling Distributions of Statistics For example, if the population consists of numbers 1, 2, 3, 4, 5, and 6, there are 36 samples of size 2 when sampling with replacement.
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