Match the LIST-I with LIST-II

LIST-I	LIST-II
A. Confidence interval	I. Sampling distribution of the sample mean approaches normal distribution as the sample size gets larger, no matter what the shape of the population distribution is.
B. Hypothesis	II. A measurable characteristic of a sample.
C. Central limit theorem	III. The amount of uncertainity associated with a sample estimate of a population parameter.
D. Statistic	IV. An educated guess which needs to be tested.

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Match the LIST-I with LIST-II

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Which of the following are correct about t-test statistics?

(A) The mean of t-test distribution is 0.

(B) It depends on the degrees of freedom.

(C) It depends on population standard deviation.

(D) With more degrees of freedom, it closely resembles standard normal distribution.

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Which of the following is not a rejection rule for one sample t-test: (Where α is the level of significance)

(A) Reject null hypothesis $H_0$ : if $t \leq -t_\alpha$.

(B) Reject null hypothesis $H_0$ : if $t \geq -t_\alpha$.

(C) Reject null hypothesis $H_0$ : if $t \geq t_\alpha$.

(D) Reject null hypothesis $H_0$ : if $t \leq -t_{\alpha/2}$ or $t \geq t_{\alpha/2}$.

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Arrange the following as per statistical inferences:

(A) Data Analysis

(B) Population

(C) Making Inferences

(D) Data Collection

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Which of the following are correct?

(A) A statistical hypothesis is a statement about the population parameter which may be true or false.

(B) In a statistical hypothesis testing procedure, a Type I error is made when the null hypothesis is accepted when it is false.

(C) In a statistical hypothesis testing procedure, a Type II error is made when the null hypothesis is rejected when it is true.

(D) The number of degrees of freedom of a statistic is the number of independent variates used to compute that statistic.

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The following data are from a simple random sample: $6, 8, 11, 9, 15, 17$, then the point estimate of the population mean is