Consider the following statements. (A) Let A be an event in a sample space fn. Then A cannot be independent of itself. (B) Let X1,., X, be an iid sample with population mean a and population variance Then the sample mean X is an unbiased estimator for u and sample variance S is unbiased estimator for o. (C) For a test at significance level a, the p-value is the probability that Ho is true. Theref when p-value

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Consider the following statements.
(A) Let A be an event in a sample space 2. Then A cannot be independent of itself.
(B) Let X1,..., X, be an iid sample with population mean u and population variance o?.
Then the sample mean X is an unbissed estimator for u and sample variance S is an
unbiased estimator for o?.
(C) For a test at significance level a, the p-value is the probability that Ho is true. Therefore,
when p-value <a, we will reject the null hypothesis.
(D) Let X1,..., Xn be an iid sample with population mean u and population variance o?.
Then
- N(0, 1) and "s ~x*(n – 1).
(-1)s
2.
There may be more than one correct statements. Choose ALL the correct staternents.
Transcribed Image Text:Consider the following statements. (A) Let A be an event in a sample space 2. Then A cannot be independent of itself. (B) Let X1,..., X, be an iid sample with population mean u and population variance o?. Then the sample mean X is an unbissed estimator for u and sample variance S is an unbiased estimator for o?. (C) For a test at significance level a, the p-value is the probability that Ho is true. Therefore, when p-value <a, we will reject the null hypothesis. (D) Let X1,..., Xn be an iid sample with population mean u and population variance o?. Then - N(0, 1) and "s ~x*(n – 1). (-1)s 2. There may be more than one correct statements. Choose ALL the correct staternents.
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