STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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For which scenario is it not permissible to use the normal distribution to approximate the sampling distribution?
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“x” is Poisson, n =20
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“x” is Poisson, n=50
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“x” is Normal, n=20
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“x” is Normal, n=50
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Explanation:
Detailed explanation-1: -Here in Wikipedia it says: For sufficiently large values of , (say >1000), the normal distribution with mean and variance (standard deviation √), is an excellent approximation to the Poisson distribution.
Detailed explanation-2: -Answer and Explanation: It is not correct to assume that the sampling distribution of the sample mean is approximately normally distributed, when the sample size is not greater than thirty and the sample does not come from a normal variable.
Detailed explanation-3: -there are a certain number n of independent trials. the outcomes of any trial are success or failure. each trial has the same probability of a success p. 21-Oct-2020
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