Which of the following is NOT a property of the sampling distribution of the​ variance? Choose the correct answer below. A. The expected val

Question

Which of the following is NOT a property of the sampling distribution of the​ variance? Choose the correct answer below. A. The expected value of the sample variance is equal to the population variance. B. The mean of the sample variances is the population variance. C. The sample variances target the value of the population variance. D. The distribution of sample variances tends to be a normal distribution.

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bonexptip 5 years 2021-07-23T23:47:40+00:00 1 Answers 295 views 0

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  1. thienhuong
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    2021-07-23T23:48:56+00:00
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    Answer: D. The distribution of sample variances tends to be a normal distribution.

    Step-by-step explanation:

    The properties of the sampling distribution of the​ variance include:

    • The expected value of the sample variance is equal to the population variance.

    • The mean of the sample variances is the population variance.

    • The sample variances target the value of the population variance.

    Therefore, the option that isn’t a property of the sampling distribution of the variance will be option D “The distribution of sample variances tends to be a normal distribution”.

    We should note that the sampling distribution came came in place as a result of the central limit theorem. The sample variance gives a true representation of the variance of the population as it is an unbiased estimator.

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