Q. Point out the wrong statement.

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Q. Which of the following form the basis for frequency interpretation of probabilities?

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Q. Bernoulli random variables take (only) the values 1 and 0.

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Q. The _________ basically states that the sample mean is consistent.

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Q. Which of the following theorem states that the distribution of averages of iid variables, properly normalized, becomes that of a standard normal as the sample size increases?

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Q. The binomial random variables are obtained as the sum of iid Gaussian trials.

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Q. The _________ of the Chi-squared distribution is twice the degrees of freedom.

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Q. Point out the correct statement.

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Q. Gosset’s distribution is invented by which of the following scientist?

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Q. The _________ of a collection of data is the joint density evaluated as a function of the parameters with the data fixed.

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Q. Point out the wrong statement.

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Q. Which of the following is a property of likelihood?

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Q. CLT is mostly useful as an approximation.

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Q. The beta distribution is the default prior for parameters between ____________

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Q. Which of the following mean is a mixture of the MLE and the prior mean?

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Q. Usually replacing the standard error by its estimated value does change the CLT.

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Q. Which of the following testing is concerned with making decisions using data?

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Q. Point out the correct statement.

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Q. Which of the following value is the most common measure of “statistical significance”?

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Q. What is the purpose of multiple testing in statistical inference?

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